Character table for $D_4:D_{12}$

		1A	2A	2B	2C	2D	2E	2F	2G	3A	4A	4B	4C	4D	4E	4F	6A	6B	6C	8A	8B	12A1	12A5	12B	12C1	12C5	12D1	12D5	12E	24A1	24A5
	Size	1	1	2	4	12	12	12	24	2	2	2	4	4	4	12	2	4	8	8	24	2	2	4	4	4	4	4	8	8	8
	2 P	1A	1A	1A	1A	1A	1A	1A	1A	3A	2A	2A	2B	2B	2A	2A	3A	3A	3A	4B	4A	6A	6A	6A	6B	6B	6B	6B	6A	12A1	12A5
	3 P	1A	2A	2B	2C	2D	2E	2F	2G	1A	4A	4B	4C	4D	4E	4F	2A	2B	2C	8A	8B	4B	4B	4A	4C	4C	4D	4D	4E	8A	8A
	Type
192.381.1a	R	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$
192.381.1b	R	$1$	$1$	$1$	$-1$	$-1$	$1$	$1$	$-1$	$1$	$1$	$1$	$-1$	$-1$	$-1$	$-1$	$1$	$1$	$-1$	$1$	$1$	$1$	$1$	$-1$	$-1$	$1$	$-1$	$-1$	$-1$	$1$	$1$
192.381.1c	R	$1$	$1$	$1$	$-1$	$-1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$-1$	$-1$	$1$	$1$	$-1$	$-1$	$-1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$-1$	$-1$	$-1$
192.381.1d	R	$1$	$1$	$1$	$-1$	$1$	$-1$	$-1$	$-1$	$1$	$1$	$1$	$1$	$1$	$-1$	$1$	$1$	$1$	$-1$	$-1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$-1$	$-1$	$-1$
192.381.1e	R	$1$	$1$	$1$	$-1$	$1$	$-1$	$-1$	$1$	$1$	$1$	$1$	$-1$	$-1$	$-1$	$1$	$1$	$1$	$-1$	$1$	$-1$	$1$	$1$	$-1$	$-1$	$1$	$-1$	$-1$	$-1$	$1$	$1$
192.381.1f	R	$1$	$1$	$1$	$1$	$-1$	$-1$	$-1$	$-1$	$1$	$1$	$1$	$1$	$1$	$1$	$-1$	$1$	$1$	$1$	$1$	$-1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$
192.381.1g	R	$1$	$1$	$1$	$1$	$-1$	$-1$	$-1$	$1$	$1$	$1$	$1$	$-1$	$-1$	$1$	$-1$	$1$	$1$	$1$	$-1$	$1$	$1$	$1$	$-1$	$-1$	$1$	$-1$	$-1$	$1$	$-1$	$-1$
192.381.1h	R	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$-1$	$1$	$1$	$1$	$-1$	$-1$	$1$	$1$	$1$	$1$	$1$	$-1$	$-1$	$1$	$1$	$-1$	$-1$	$1$	$-1$	$-1$	$1$	$-1$	$-1$
192.381.2a	R	$2$	$2$	$2$	$2$	$0$	$0$	$0$	$0$	$-1$	$2$	$2$	$2$	$2$	$2$	$0$	$-1$	$-1$	$-1$	$2$	$0$	$-1$	$-1$	$-1$	$-1$	$-1$	$-1$	$-1$	$-1$	$-1$	$-1$
192.381.2b	R	$2$	$2$	$-2$	$-2$	$0$	$0$	$0$	$0$	$2$	$2$	$-2$	$0$	$0$	$2$	$0$	$2$	$-2$	$-2$	$0$	$0$	$-2$	$-2$	$0$	$0$	$2$	$0$	$0$	$2$	$0$	$0$
192.381.2c	R	$2$	$2$	$-2$	$0$	$-2$	$0$	$0$	$0$	$2$	$-2$	$2$	$0$	$0$	$0$	$2$	$2$	$-2$	$0$	$0$	$0$	$2$	$2$	$0$	$0$	$-2$	$0$	$0$	$0$	$0$	$0$
192.381.2d	R	$2$	$2$	$-2$	$0$	$2$	$0$	$0$	$0$	$2$	$-2$	$2$	$0$	$0$	$0$	$-2$	$2$	$-2$	$0$	$0$	$0$	$2$	$2$	$0$	$0$	$-2$	$0$	$0$	$0$	$0$	$0$
192.381.2e	R	$2$	$2$	$-2$	$2$	$0$	$0$	$0$	$0$	$2$	$2$	$-2$	$0$	$0$	$-2$	$0$	$2$	$-2$	$2$	$0$	$0$	$-2$	$-2$	$0$	$0$	$2$	$0$	$0$	$-2$	$0$	$0$
192.381.2f	R	$2$	$2$	$2$	$0$	$0$	$-2$	$2$	$0$	$2$	$-2$	$-2$	$0$	$0$	$0$	$0$	$2$	$2$	$0$	$0$	$0$	$-2$	$-2$	$0$	$0$	$-2$	$0$	$0$	$0$	$0$	$0$
192.381.2g	R	$2$	$2$	$2$	$0$	$0$	$2$	$-2$	$0$	$2$	$-2$	$-2$	$0$	$0$	$0$	$0$	$2$	$2$	$0$	$0$	$0$	$-2$	$-2$	$0$	$0$	$-2$	$0$	$0$	$0$	$0$	$0$
192.381.2h	R	$2$	$2$	$2$	$-2$	$0$	$0$	$0$	$0$	$-1$	$2$	$2$	$-2$	$-2$	$-2$	$0$	$-1$	$-1$	$1$	$2$	$0$	$-1$	$-1$	$1$	$1$	$-1$	$1$	$1$	$1$	$-1$	$-1$
192.381.2i	R	$2$	$2$	$2$	$-2$	$0$	$0$	$0$	$0$	$-1$	$2$	$2$	$2$	$2$	$-2$	$0$	$-1$	$-1$	$1$	$-2$	$0$	$-1$	$-1$	$-1$	$-1$	$-1$	$-1$	$-1$	$1$	$1$	$1$
192.381.2j	R	$2$	$2$	$2$	$2$	$0$	$0$	$0$	$0$	$-1$	$2$	$2$	$-2$	$-2$	$2$	$0$	$-1$	$-1$	$-1$	$-2$	$0$	$-1$	$-1$	$1$	$1$	$-1$	$1$	$1$	$-1$	$1$	$1$
192.381.2k1	R	$2$	$2$	$-2$	$-2$	$0$	$0$	$0$	$0$	$-1$	$2$	$-2$	$0$	$0$	$2$	$0$	$-1$	$1$	$1$	$0$	$0$	$1$	$1$	$-{\zeta }_{12}^{-1}-{\zeta }_{12}$	$-{\zeta }_{12}^{-1}-{\zeta }_{12}$	$-1$	${\zeta }_{12}^{-1}+{\zeta }_{12}$	${\zeta }_{12}^{-1}+{\zeta }_{12}$	$-1$	$-{\zeta }_{12}^{-1}-{\zeta }_{12}$	${\zeta }_{12}^{-1}+{\zeta }_{12}$
192.381.2k2	R	$2$	$2$	$-2$	$-2$	$0$	$0$	$0$	$0$	$-1$	$2$	$-2$	$0$	$0$	$2$	$0$	$-1$	$1$	$1$	$0$	$0$	$1$	$1$	${\zeta }_{12}^{-1}+{\zeta }_{12}$	${\zeta }_{12}^{-1}+{\zeta }_{12}$	$-1$	$-{\zeta }_{12}^{-1}-{\zeta }_{12}$	$-{\zeta }_{12}^{-1}-{\zeta }_{12}$	$-1$	${\zeta }_{12}^{-1}+{\zeta }_{12}$	$-{\zeta }_{12}^{-1}-{\zeta }_{12}$
192.381.2l1	R	$2$	$2$	$-2$	$2$	$0$	$0$	$0$	$0$	$-1$	$2$	$-2$	$0$	$0$	$-2$	$0$	$-1$	$1$	$-1$	$0$	$0$	$1$	$1$	$-{\zeta }_{12}^{-1}-{\zeta }_{12}$	$-{\zeta }_{12}^{-1}-{\zeta }_{12}$	$-1$	${\zeta }_{12}^{-1}+{\zeta }_{12}$	${\zeta }_{12}^{-1}+{\zeta }_{12}$	$1$	${\zeta }_{12}^{-1}+{\zeta }_{12}$	$-{\zeta }_{12}^{-1}-{\zeta }_{12}$
192.381.2l2	R	$2$	$2$	$-2$	$2$	$0$	$0$	$0$	$0$	$-1$	$2$	$-2$	$0$	$0$	$-2$	$0$	$-1$	$1$	$-1$	$0$	$0$	$1$	$1$	${\zeta }_{12}^{-1}+{\zeta }_{12}$	${\zeta }_{12}^{-1}+{\zeta }_{12}$	$-1$	$-{\zeta }_{12}^{-1}-{\zeta }_{12}$	$-{\zeta }_{12}^{-1}-{\zeta }_{12}$	$1$	$-{\zeta }_{12}^{-1}-{\zeta }_{12}$	${\zeta }_{12}^{-1}+{\zeta }_{12}$
192.381.4a	R	$4$	$-4$	$0$	$0$	$0$	$0$	$0$	$0$	$4$	$0$	$0$	$-2$	$2$	$0$	$0$	$-4$	$0$	$0$	$0$	$0$	$0$	$0$	$-2$	$2$	$0$	$-2$	$2$	$0$	$0$	$0$
192.381.4b	R	$4$	$-4$	$0$	$0$	$0$	$0$	$0$	$0$	$4$	$0$	$0$	$2$	$-2$	$0$	$0$	$-4$	$0$	$0$	$0$	$0$	$0$	$0$	$2$	$-2$	$0$	$2$	$-2$	$0$	$0$	$0$
192.381.4c	R	$4$	$4$	$-4$	$0$	$0$	$0$	$0$	$0$	$-2$	$-4$	$4$	$0$	$0$	$0$	$0$	$-2$	$2$	$0$	$0$	$0$	$-2$	$-2$	$0$	$0$	$2$	$0$	$0$	$0$	$0$	$0$
192.381.4d	R	$4$	$4$	$4$	$0$	$0$	$0$	$0$	$0$	$-2$	$-4$	$-4$	$0$	$0$	$0$	$0$	$-2$	$-2$	$0$	$0$	$0$	$2$	$2$	$0$	$0$	$2$	$0$	$0$	$0$	$0$	$0$
192.381.4e1	R	$4$	$-4$	$0$	$0$	$0$	$0$	$0$	$0$	$-2$	$0$	$0$	$-2$	$2$	$0$	$0$	$2$	$0$	$0$	$0$	$0$	$-2{\zeta }_{12}^{-1}-2{\zeta }_{12}$	$2{\zeta }_{12}^{-1}+2{\zeta }_{12}$	$1+2{\zeta }_{12}-{\zeta }_{12}^3$	$-1-2{\zeta }_{12}+{\zeta }_{12}^3$	$0$	$1-2{\zeta }_{12}+{\zeta }_{12}^3$	$-1+2{\zeta }_{12}-{\zeta }_{12}^3$	$0$	$0$	$0$
192.381.4e2	R	$4$	$-4$	$0$	$0$	$0$	$0$	$0$	$0$	$-2$	$0$	$0$	$-2$	$2$	$0$	$0$	$2$	$0$	$0$	$0$	$0$	$2{\zeta }_{12}^{-1}+2{\zeta }_{12}$	$-2{\zeta }_{12}^{-1}-2{\zeta }_{12}$	$1-2{\zeta }_{12}+{\zeta }_{12}^3$	$-1+2{\zeta }_{12}-{\zeta }_{12}^3$	$0$	$1+2{\zeta }_{12}-{\zeta }_{12}^3$	$-1-2{\zeta }_{12}+{\zeta }_{12}^3$	$0$	$0$	$0$
192.381.4f1	R	$4$	$-4$	$0$	$0$	$0$	$0$	$0$	$0$	$-2$	$0$	$0$	$2$	$-2$	$0$	$0$	$2$	$0$	$0$	$0$	$0$	$-2{\zeta }_{12}^{-1}-2{\zeta }_{12}$	$2{\zeta }_{12}^{-1}+2{\zeta }_{12}$	$-1-2{\zeta }_{12}+{\zeta }_{12}^3$	$1+2{\zeta }_{12}-{\zeta }_{12}^3$	$0$	$-1+2{\zeta }_{12}-{\zeta }_{12}^3$	$1-2{\zeta }_{12}+{\zeta }_{12}^3$	$0$	$0$	$0$
192.381.4f2	R	$4$	$-4$	$0$	$0$	$0$	$0$	$0$	$0$	$-2$	$0$	$0$	$2$	$-2$	$0$	$0$	$2$	$0$	$0$	$0$	$0$	$2{\zeta }_{12}^{-1}+2{\zeta }_{12}$	$-2{\zeta }_{12}^{-1}-2{\zeta }_{12}$	$-1+2{\zeta }_{12}-{\zeta }_{12}^3$	$1-2{\zeta }_{12}+{\zeta }_{12}^3$	$0$	$-1-2{\zeta }_{12}+{\zeta }_{12}^3$	$1+2{\zeta }_{12}-{\zeta }_{12}^3$	$0$	$0$	$0$