The tables below have the 1968-69 number blocks for each state.   The allocations here are similar to the previous plates from 1966-67.
The type of plate was determined by number sequence and color - refer to my Numbering and Colors page for details.

The information comes from the document 'Diario Oficial' published by the government of Mexico.
The issue dated 10 November 1967 contains the table with the license plate number blocks.

TRANSPORTE PRIVADO - PRIVATE VEHICLES (red characters on a white background)
State	Car	Truck (letters stacked)	Bus	Trailer (letters stacked)
DISTRITO FEDERAL	101AB - 999UZ	AA1001 - AH9999	A-101 - C-999	RA1001 - RA7999
AGUASCALIENTES	AB101 - AJ999	BA1001 - BB9999	E-101 - E-499	RB1001 - RB1999
BAJA CALIFORNIA	AK101 - DU999	CA1001 - CE9999	E-501 - E-999	RB2001 - RB7999
BAJA CALIFORNIA SUR	101ZA - 999ZI	AJ1001 - AK9999	D-101 - D-499	RA8001 - RA8999
CAMPECHE	DV101 - DX999	DA1001 - DA9999	F-101 - F-499	RB8001 - RB8999
CHIAPAS	FE101 - FM999	EA1001 - EB9999	G-501 - G-999	RC2001 - RC2999
CHIHUAHUA	FN101 - GL999 *FN3259	EC1001 - EF9999	H-101 - H-499	RC3000 - RC3999
COAHUILA	DY101 - EZ999 *DY2911	DB1001 - DD9999	F-501 - F-999	RB9001 - RB9999
COLIMA	FA101 - FD999	DE1001 - DE9999	G-101 - G-499	RC1001 - RC1999
DURANGO	GM101 - GY999	FA1001 - FB9999	H-501 - H-999	RC4001 - RC4999
GUANAJUATO	GZ101 - HV999	GA1001 - GC9999	J-101 - J-499	RC5001 - RC5999
GUERRERO	HW101 - IE999	GD1001 - GE9999	J-501 - J-999	RC6001 - RC6999
HIDALGO	IF101 - IP999	HA1001 - HB9999	K-101 - K-499	RC7001 - RC7999
JALISCO	IQ101 - LQ999	JA1001 - JD9999	K-501 - K-999	RC8001 - RC8999
MEXICO	LR101 - OF999 *LR7658	KA1001 - KD9999	L-101 - N-499	RC9001 - RD1999
MICHOACAN	OG101 - OV999 *ZN849	KE1001 - KJ9999	N-501 - N-999	RD2001 - RD2999
MORELOS	OW101 - PG999 *OW2331	KH1001 - KH9999	P-101 - P-499	RD3001 - RD3999
NAYARIT	PH101 - PL999	LA1001 - LB9999	P-501 - P-999	RD4001 - RD5999
NUEVO LEON	PM101 - RR999	LC1001 - LF9999	R-101 - R-999	RD6001 - RD6999
OAXACA	RS101 - RY999 *RS1940	MA1001 - MA9999	S-101 - S-499	RD7001 - RD7999
PUEBLA	RZ101 - TE999	NA1001 - NC9999	S-501 - T-999	RD8001 - RD8999
QUERETARO	TF101 - TL999	PA1001 - PA9999	U-101 - U-499	RD9001 - RD9999
QUINTANA ROO	101ZJ - 999ZK	AL1001 - AL9999	D-501 - D-999	RA9001 - RA9999
SAN LUIS POTOSI	TM101 - TZ999	SA1001 - SB9999	U-501 - U-999	RE1001 - RE1999
SINALOA	UA101 - UQ999 *VA4188 *VA4190	SC1001 - SF9999	V-101 - V-499	RE2001 - RE2999
SONORA	UR101 - VY999	SG1001 - SL9999	V-501 - V-999	RE3001 - RE5999
TABASCO	VZ101 - WD999	TA1001 - TA9999	W-101 - W-499	RE6001 - RE6999
TAMAULIPAS	WE101 - XH999	TB1001 - TE9999	W-501 - W-999	RE7001 - RE7999
TLAXCALA	XI101 - XM999	TF1001 - TF9999	X-101 - X-499	RE8001 - RE8999
VERACRUZ	XN101 - YU999	UA1001 - UE9999	X-501 - X-999	RE9001 - RF1999
YUCATAN	YV101 - ZG999 *YV1353 *YV1409	VA1001 - VA9999	Y-101 - Y-499	RF2001 - RF2999
ZACATECAS	ZH101 - ZM999	WA1001 - WB9999	Y-501 - Y-999	RF3001 - RF3999

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SERVICIO PUBLICO LOCAL - COMMERCIAL VEHICLES (white characters on a blue background)
State	Car (Taxi)	Commercial Truck	Commercial Bus	Commercial Trailer
DISTRITO FEDERAL	1 - 25000	60000 - 69999	30000 - 49999	80000 - 89999
AGUASCALIENTES	101-A - 999-A	101-S - 999-S	101-J - 999-J	101-R - 199-R
BAJA CALIFORNIA	1001A - 2999A	1001S - 2999S	1001J - 1999J	201-R - 299-R
BAJA CALIFORNIA SUR	3001A - 3999A	3001S - 3999S	2001J - 2999J	301-R - 399-R
CAMPECHE	4001A - 4999A	4001S - 4999S	3001J - 3999J	401-R - 499-R
CHIAPAS	9001A - 9999A	8001S - 9999S	6001J - 6999J	801-R - 899-R
CHIHUAHUA	101-B - 1999B	101-T - 2999T	7001J - 7999J	901-R - 999-R
COAHUILA	5001A - 7999A	5001S - 6999S	4001J - 4999J	501-R - 699-R
COLIMA	8001A - 8999A	7001S - 7999S	5001J - 5999J	701-R - 799-R
DURANGO	2001B - 3999B	3001T - 4999T	8001J - 8999J	1001R - 1399R
GUANAJUATO	4001B - 5999B	5001T - 6999T	9001J - 999-K	1401R - 1499R
GUERRERO	6001B - 6999B	7001T - 7999T	1001K - 1999K	1501R - 1599R
HIDALGO	7001B - 7999B	8001T - 8999T	2001K - 2999N	1601R - 1699R
JALISCO	8001B - 999-C	9001T - 999-U	3001K - 5999K	1701R - 1799R
MEXICO	1001C - 6999C	1001U - 6999U	6001K - 1999L	1801R - 2399R
MICHOACAN	7001C - 8999C	7001U - 7999U	2001L - 3999L	2401R - 2599R
MORELOS	9001C - 9999C	8001U - 8999U	4001L - 4999L	2601R - 2699R
NAYARIT	101-D - 999-D	9001U - 999-V	5001L - 5999L	2701R - 2799R
NUEVO LEON	1001D - 7999D	1001V - 2999V	6001L - 7999L	2801R - 2899R
OAXACA	8001D - 8999D	3001V - 3999V	8001L - 8999L	2901R - 2999R
PUEBLA	9001D - 999-E	4001V - 5999V	9001L - 999-M	3001R - 3099R
QUERETARO	1001E - 1999E	6001V - 6999V	1001M - 1999M	3101R - 3199R
QUINTANA ROO	2001E - 2999E	7001V - 7999V	2001M - 2999M	3201R - 3299R
SAN LUIS POTOSI	3001E - 3999E	8001V - 8999V	3001M - 3999M	3301R - 3399R
SINALOA	4001E - 5999E	9001V - 1999W	4001M - 5999M	3401R - 3499R
SONORA	6001E - 8999E	2001W - 4999W	6001M - 6999M	3501R - 5099R
TABASCO	9001E - 9999E	5001W - 5999W	7001M - 7999M	5101R - 5199R
TAMAULIPAS	101-F - 3999F	6001W - 8999W	8001M - 9999M	5201R - 5499R
TLAXCALA	4001F - 4999F	9001W - 9999W	101-N - 999-N	5501R - 5599R
VERACRUZ	5001F - 9999F	101-X - 2999X	1001N - 3999N	5601R - 5999R
YUCATAN	101-G - 999-G	3001X - 4999X	4001N - 4999N	6001R - 6099R
ZACATECAS	1001G - 2999G	5001X - 5999X	5001N - 5999N	6101R - 6199R

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DEALER DEMOSTRACION
State	Series Assigned
AGUASCALIENTES	*E-117
SINALOA	*UC-30
SONORA	*US 60

The one known Aguascalientes dealer number overlaps the series for buses, but the E-117 plate does have the "DEM AGS" legend.

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FEDERAL VEHICLES
Type	Car	Truck	Bus	Trailer
SERVICIO PUBLICO FEDERAL	A1001 - A9999	H1001 - J9999	B1001 - D9999	R1001 - R9999
SPF FRONTERIZO	F1001 - F2999	F6001 - F8999	F3001 - F5999	F9001 - F9999
TRASLADO NACIONAL	Y1001 - Y9999	T1001 - T9999	S1001 - S9999	U1001 - U9999
TRASLADO INTERNACIONAL	X1001 - X2999	X6001 - X8999	X3001 - X5999	X9001 - X9999
SET	*M1807

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OTHER TYPES
Type	Series Assigned
DIPLOMATIC	*60-DF
PROVISIONAL (DF)	*89-IG - *22-KL