Group #72220471 — character table

	C₁	C₂	C₃	C₄	C₅	C₆	C₇	C₈	C₉	C₁₀	C₁₁	C₁₂	C₁₃	C₁₄	C₁₅	C₁₆	C₁₇	C₁₈	C₁₉	C₂₀	C₂₁	C₂₂	C₂₃	C₂₄	C₂₅	C₂₆	C₂₇	C₂₈	C₂₉	C₃₀	C₃₁	C₃₂	C₃₃	C₃₄	C₃₅	C₃₆	C₃₇	C₃₈	C₃₉	C₄₀	C₄₁	C₄₂	C₄₃	C₄₄	C₄₅	C₄₆	C₄₇	C₄₈	C₄₉	C₅₀	C₅₁	C₅₂	C₅₃	C₅₄	C₅₅	C₅₆	C₅₇	C₅₈	C₅₉	C₆₀	C₆₁	C₆₂	C₆₃	C₆₄	C₆₅	C₆₆	C₆₇	C₆₈	C₆₉	C₇₀	C₇₁	C₇₂	C₇₃	C₇₄
size	1	1	2	2	2	4	4	8	8	9	9	16	16	16	18	18	18	24	24	24	24	32	32	36	36	48	48	48	48	48	48	48	48	48	48	54	54	72	72	72	72	96	96	96	96	96	96	108	108	108	144	144	144	144	144	144	144	144	144	144	216	216	216	216	216	216	216	216	216	216	288	288	288	288
order	1	2	2	2	2	2	4	3	6	2	2	6	6	6	2	2	2	3	6	6	6	6	12	2	4	3	6	6	6	6	6	6	6	12	12	4	4	6	6	6	6	6	6	6	6	12	12	4	4	4	4	4	4	4	6	6	6	6	12	12	4	4	8	8	8	8	8	8	8	8	12	12	12	12
χ₁	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	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	1	1	1	1	1	1	1	1	1	1	1	1	1	1
χ₂	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	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	1	1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1
χ₃	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	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	-1	-1	1	1	1	1	-1	-1	-1	-1	1	1	-1	-1
χ₄	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	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	-1	-1	-1	-1	-1	-1	1	1	1	1	-1	-1	1	1
χ₅	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	1	1	1	-1	-1	1	1	1	1	1	1	-1	-1	1	1	-1	-1	1	-1	-1	$i$	$- i$	$i$	$- i$	-1	-1	1	1	-1	-1	-1	1	$i$	$i$	$- i$	$- i$	$i$	$i$	$- i$	$- i$	$i$	$- i$	$i$	$- i$
χ₆	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	1	1	1	-1	-1	1	1	1	1	1	1	-1	-1	1	1	-1	-1	1	-1	-1	$- i$	$i$	$- i$	$i$	-1	-1	1	1	-1	-1	-1	1	$- i$	$- i$	$i$	$i$	$- i$	$- i$	$i$	$i$	$- i$	$i$	$- i$	$i$
χ₇	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	1	1	1	1	1	1	1	1	1	1	1	-1	-1	-1	-1	1	1	1	-1	-1	$i$	$- i$	$- i$	$i$	-1	-1	-1	-1	1	1	1	-1	$i$	$i$	$- i$	$- i$	$- i$	$- i$	$i$	$i$	$i$	$- i$	$- i$	$i$
χ₈	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	1	1	1	1	1	1	1	1	1	1	1	-1	-1	-1	-1	1	1	1	-1	-1	$- i$	$i$	$i$	$- i$	-1	-1	-1	-1	1	1	1	-1	$- i$	$- i$	$i$	$i$	$i$	$i$	$- i$	$- i$	$- i$	$i$	$i$	$- i$
χ₉	2	2	2	2	2	2	2	2	2	2	2	2	2	2	2	2	2	-1	-1	-1	-1	2	2	2	2	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	2	2	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	2	2	2	0	0	0	0	-1	-1	-1	-1	-1	-1	2	2	0	0	0	0	0	0	0	0	0	0	0	0
χ₁₀	2	2	2	2	2	2	2	2	2	-2	-2	2	2	2	-2	-2	-2	-1	-1	-1	-1	2	2	-2	-2	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	0	0	1	1	1	1	-1	-1	-1	-1	-1	-1	0	0	0	0	0	0	0	1	1	1	1	1	1	0	0	$- i \sqrt{2}$	$i \sqrt{2}$	$- i \sqrt{2}$	$i \sqrt{2}$	$- i \sqrt{2}$	$i \sqrt{2}$	$- i \sqrt{2}$	$i \sqrt{2}$	0	0	0	0
χ₁₁	2	2	2	2	2	2	2	2	2	-2	-2	2	2	2	-2	-2	-2	-1	-1	-1	-1	2	2	-2	-2	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	0	0	1	1	1	1	-1	-1	-1	-1	-1	-1	0	0	0	0	0	0	0	1	1	1	1	1	1	0	0	$i \sqrt{2}$	$- i \sqrt{2}$	$i \sqrt{2}$	$- i \sqrt{2}$	$i \sqrt{2}$	$- i \sqrt{2}$	$i \sqrt{2}$	$- i \sqrt{2}$	0	0	0	0
χ₁₂	2	2	2	2	2	-2	-2	2	2	2	2	2	2	2	2	2	2	-1	-1	-1	-1	-2	-2	-2	-2	-1	-1	-1	1	1	-1	-1	-1	1	1	2	2	-1	-1	-1	-1	-1	-1	1	1	1	1	2	2	2	0	0	0	0	-1	-1	1	1	1	1	-2	-2	0	0	0	0	0	0	0	0	0	0	0	0
χ₁₃	2	2	2	2	2	-2	-2	2	2	-2	-2	2	2	2	-2	-2	-2	-1	-1	-1	-1	-2	-2	2	2	-1	-1	-1	1	1	-1	-1	-1	1	1	0	0	1	1	1	1	-1	-1	1	1	1	1	0	0	0	0	0	0	0	1	1	-1	-1	-1	-1	0	0	$- i \sqrt{2}$	$i \sqrt{2}$	$- i \sqrt{2}$	$i \sqrt{2}$	$i \sqrt{2}$	$- i \sqrt{2}$	$i \sqrt{2}$	$- i \sqrt{2}$	0	0	0	0
χ₁₄	2	2	2	2	2	-2	-2	2	2	-2	-2	2	2	2	-2	-2	-2	-1	-1	-1	-1	-2	-2	2	2	-1	-1	-1	1	1	-1	-1	-1	1	1	0	0	1	1	1	1	-1	-1	1	1	1	1	0	0	0	0	0	0	0	1	1	-1	-1	-1	-1	0	0	$i \sqrt{2}$	$- i \sqrt{2}$	$i \sqrt{2}$	$- i \sqrt{2}$	$- i \sqrt{2}$	$i \sqrt{2}$	$- i \sqrt{2}$	$i \sqrt{2}$	0	0	0	0
χ₁₅	2	2	2	-2	-2	2	-2	2	2	2	2	2	-2	-2	2	-2	-2	-1	-1	-1	-1	2	-2	2	-2	-1	1	1	-1	-1	-1	-1	-1	1	1	2	2	-1	-1	-1	-1	1	1	-1	-1	1	1	2	-2	-2	0	0	0	0	1	1	-1	-1	1	1	-2	2	0	0	0	0	0	0	0	0	0	0	0	0
χ₁₆	2	2	2	-2	-2	2	-2	2	2	-2	-2	2	-2	-2	-2	2	2	-1	-1	-1	-1	2	-2	-2	2	-1	1	1	-1	-1	-1	-1	-1	1	1	0	0	1	1	1	1	1	1	-1	-1	1	1	0	0	0	0	0	0	0	-1	-1	1	1	-1	-1	0	0	$\sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	0	0	0	0
χ₁₇	2	2	2	-2	-2	2	-2	2	2	-2	-2	2	-2	-2	-2	2	2	-1	-1	-1	-1	2	-2	-2	2	-1	1	1	-1	-1	-1	-1	-1	1	1	0	0	1	1	1	1	1	1	-1	-1	1	1	0	0	0	0	0	0	0	-1	-1	1	1	-1	-1	0	0	$- \sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	0	0	0	0
χ₁₈	2	2	2	-2	-2	-2	2	2	2	2	2	2	-2	-2	2	-2	-2	-1	-1	-1	-1	-2	2	-2	2	-1	1	1	1	1	-1	-1	-1	-1	-1	2	2	-1	-1	-1	-1	1	1	1	1	-1	-1	2	-2	-2	0	0	0	0	1	1	1	1	-1	-1	2	-2	0	0	0	0	0	0	0	0	0	0	0	0
χ₁₉	2	2	2	-2	-2	-2	2	2	2	-2	-2	2	-2	-2	-2	2	2	-1	-1	-1	-1	-2	2	2	-2	-1	1	1	1	1	-1	-1	-1	-1	-1	0	0	1	1	1	1	1	1	1	1	-1	-1	0	0	0	0	0	0	0	-1	-1	-1	-1	1	1	0	0	$\sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	0	0	0	0
χ₂₀	2	2	2	-2	-2	-2	2	2	2	-2	-2	2	-2	-2	-2	2	2	-1	-1	-1	-1	-2	2	2	-2	-1	1	1	1	1	-1	-1	-1	-1	-1	0	0	1	1	1	1	1	1	1	1	-1	-1	0	0	0	0	0	0	0	-1	-1	-1	-1	1	1	0	0	$- \sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	0	0	0	0
χ₂₁	2	2	-2	2	-2	0	0	2	2	2	2	-2	2	-2	-2	2	-2	2	-2	-2	2	0	0	0	0	2	2	-2	0	0	-2	-2	2	0	0	2	2	2	2	-2	-2	2	-2	0	0	0	0	-2	2	-2	0	0	0	0	2	-2	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₂₂	2	2	-2	2	-2	0	0	2	2	2	2	-2	2	-2	-2	2	-2	-1	1	1	-1	0	0	0	0	-1	-1	1	$- i \sqrt{3}$	$i \sqrt{3}$	1	1	-1	$- i \sqrt{3}$	$i \sqrt{3}$	2	2	-1	-1	1	1	-1	1	$- i \sqrt{3}$	$i \sqrt{3}$	$- i \sqrt{3}$	$i \sqrt{3}$	-2	2	-2	0	0	0	0	-1	1	$- i \sqrt{3}$	$i \sqrt{3}$	$- i \sqrt{3}$	$i \sqrt{3}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₂₃	2	2	-2	2	-2	0	0	2	2	2	2	-2	2	-2	-2	2	-2	-1	1	1	-1	0	0	0	0	-1	-1	1	$i \sqrt{3}$	$- i \sqrt{3}$	1	1	-1	$i \sqrt{3}$	$- i \sqrt{3}$	2	2	-1	-1	1	1	-1	1	$i \sqrt{3}$	$- i \sqrt{3}$	$i \sqrt{3}$	$- i \sqrt{3}$	-2	2	-2	0	0	0	0	-1	1	$i \sqrt{3}$	$- i \sqrt{3}$	$i \sqrt{3}$	$- i \sqrt{3}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₂₄	2	2	-2	-2	2	0	0	2	2	2	2	-2	-2	2	-2	-2	2	2	-2	-2	2	0	0	0	0	2	-2	2	0	0	-2	-2	2	0	0	2	2	2	2	-2	-2	-2	2	0	0	0	0	-2	-2	2	0	0	0	0	-2	2	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₂₅	2	2	-2	-2	2	0	0	2	2	2	2	-2	-2	2	-2	-2	2	-1	1	1	-1	0	0	0	0	-1	1	-1	$- i \sqrt{3}$	$i \sqrt{3}$	1	1	-1	$i \sqrt{3}$	$- i \sqrt{3}$	2	2	-1	-1	1	1	1	-1	$- i \sqrt{3}$	$i \sqrt{3}$	$i \sqrt{3}$	$- i \sqrt{3}$	-2	-2	2	0	0	0	0	1	-1	$- i \sqrt{3}$	$i \sqrt{3}$	$i \sqrt{3}$	$- i \sqrt{3}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₂₆	2	2	-2	-2	2	0	0	2	2	2	2	-2	-2	2	-2	-2	2	-1	1	1	-1	0	0	0	0	-1	1	-1	$i \sqrt{3}$	$- i \sqrt{3}$	1	1	-1	$- i \sqrt{3}$	$i \sqrt{3}$	2	2	-1	-1	1	1	1	-1	$i \sqrt{3}$	$- i \sqrt{3}$	$- i \sqrt{3}$	$i \sqrt{3}$	-2	-2	2	0	0	0	0	1	-1	$i \sqrt{3}$	$- i \sqrt{3}$	$- i \sqrt{3}$	$i \sqrt{3}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₂₇	3	3	3	3	3	3	3	3	3	3	3	3	3	3	3	3	3	0	0	0	0	3	3	3	3	0	0	0	0	0	0	0	0	0	0	-1	-1	0	0	0	0	0	0	0	0	0	0	-1	-1	-1	1	1	1	1	0	0	0	0	0	0	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	1	1	1	1
χ₂₈	3	3	3	3	3	3	3	3	3	3	3	3	3	3	3	3	3	0	0	0	0	3	3	3	3	0	0	0	0	0	0	0	0	0	0	-1	-1	0	0	0	0	0	0	0	0	0	0	-1	-1	-1	-1	-1	-1	-1	0	0	0	0	0	0	-1	-1	1	1	1	1	1	1	1	1	-1	-1	-1	-1
χ₂₉	3	3	3	3	3	-3	-3	3	3	3	3	3	3	3	3	3	3	0	0	0	0	-3	-3	-3	-3	0	0	0	0	0	0	0	0	0	0	-1	-1	0	0	0	0	0	0	0	0	0	0	-1	-1	-1	1	1	-1	-1	0	0	0	0	0	0	1	1	-1	-1	-1	-1	1	1	1	1	1	1	-1	-1
χ₃₀	3	3	3	3	3	-3	-3	3	3	3	3	3	3	3	3	3	3	0	0	0	0	-3	-3	-3	-3	0	0	0	0	0	0	0	0	0	0	-1	-1	0	0	0	0	0	0	0	0	0	0	-1	-1	-1	-1	-1	1	1	0	0	0	0	0	0	1	1	1	1	1	1	-1	-1	-1	-1	-1	-1	1	1
χ₃₁	3	3	3	-3	-3	3	-3	3	3	3	3	3	-3	-3	3	-3	-3	0	0	0	0	3	-3	3	-3	0	0	0	0	0	0	0	0	0	0	-1	-1	0	0	0	0	0	0	0	0	0	0	-1	1	1	$i$	$- i$	$i$	$- i$	0	0	0	0	0	0	1	-1	$- i$	$- i$	$i$	$i$	$- i$	$- i$	$i$	$i$	$i$	$- i$	$i$	$- i$
χ₃₂	3	3	3	-3	-3	3	-3	3	3	3	3	3	-3	-3	3	-3	-3	0	0	0	0	3	-3	3	-3	0	0	0	0	0	0	0	0	0	0	-1	-1	0	0	0	0	0	0	0	0	0	0	-1	1	1	$- i$	$i$	$- i$	$i$	0	0	0	0	0	0	1	-1	$i$	$i$	$- i$	$- i$	$i$	$i$	$- i$	$- i$	$- i$	$i$	$- i$	$i$
χ₃₃	3	3	3	-3	-3	-3	3	3	3	3	3	3	-3	-3	3	-3	-3	0	0	0	0	-3	3	-3	3	0	0	0	0	0	0	0	0	0	0	-1	-1	0	0	0	0	0	0	0	0	0	0	-1	1	1	$i$	$- i$	$- i$	$i$	0	0	0	0	0	0	-1	1	$- i$	$- i$	$i$	$i$	$i$	$i$	$- i$	$- i$	$i$	$- i$	$- i$	$i$
χ₃₄	3	3	3	-3	-3	-3	3	3	3	3	3	3	-3	-3	3	-3	-3	0	0	0	0	-3	3	-3	3	0	0	0	0	0	0	0	0	0	0	-1	-1	0	0	0	0	0	0	0	0	0	0	-1	1	1	$- i$	$i$	$i$	$- i$	0	0	0	0	0	0	-1	1	$i$	$i$	$- i$	$- i$	$- i$	$- i$	$i$	$i$	$- i$	$i$	$i$	$- i$
χ₃₅	4	4	4	4	4	4	4	4	4	-4	-4	4	4	4	-4	-4	-4	1	1	1	1	4	4	-4	-4	1	1	1	1	1	1	1	1	1	1	0	0	-1	-1	-1	-1	1	1	1	1	1	1	0	0	0	0	0	0	0	-1	-1	-1	-1	-1	-1	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₃₆	4	4	4	4	4	-4	-4	4	4	-4	-4	4	4	4	-4	-4	-4	1	1	1	1	-4	-4	4	4	1	1	1	-1	-1	1	1	1	-1	-1	0	0	-1	-1	-1	-1	1	1	-1	-1	-1	-1	0	0	0	0	0	0	0	-1	-1	1	1	1	1	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₃₇	4	4	4	-4	-4	4	-4	4	4	-4	-4	4	-4	-4	-4	4	4	1	1	1	1	4	-4	-4	4	1	-1	-1	1	1	1	1	1	-1	-1	0	0	-1	-1	-1	-1	-1	-1	1	1	-1	-1	0	0	0	0	0	0	0	1	1	-1	-1	1	1	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₃₈	4	4	4	-4	-4	-4	4	4	4	-4	-4	4	-4	-4	-4	4	4	1	1	1	1	-4	4	4	-4	1	-1	-1	-1	-1	1	1	1	1	1	0	0	-1	-1	-1	-1	-1	-1	-1	-1	1	1	0	0	0	0	0	0	0	1	1	1	1	-1	-1	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₃₉	4	4	-4	4	-4	0	0	4	4	-4	-4	-4	4	-4	4	-4	4	1	-1	-1	1	0	0	0	0	1	1	-1	$- i \sqrt{3}$	$i \sqrt{3}$	-1	-1	1	$- i \sqrt{3}$	$i \sqrt{3}$	0	0	-1	-1	1	1	1	-1	$- i \sqrt{3}$	$i \sqrt{3}$	$- i \sqrt{3}$	$i \sqrt{3}$	0	0	0	0	0	0	0	-1	1	$i \sqrt{3}$	$- i \sqrt{3}$	$i \sqrt{3}$	$- i \sqrt{3}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₄₀	4	4	-4	4	-4	0	0	4	4	-4	-4	-4	4	-4	4	-4	4	1	-1	-1	1	0	0	0	0	1	1	-1	$i \sqrt{3}$	$- i \sqrt{3}$	-1	-1	1	$i \sqrt{3}$	$- i \sqrt{3}$	0	0	-1	-1	1	1	1	-1	$i \sqrt{3}$	$- i \sqrt{3}$	$i \sqrt{3}$	$- i \sqrt{3}$	0	0	0	0	0	0	0	-1	1	$- i \sqrt{3}$	$i \sqrt{3}$	$- i \sqrt{3}$	$i \sqrt{3}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₄₁	4	4	-4	4	-4	0	0	4	4	-4	-4	-4	4	-4	4	-4	4	-2	2	2	-2	0	0	0	0	-2	-2	2	0	0	2	2	-2	0	0	0	0	2	2	-2	-2	-2	2	0	0	0	0	0	0	0	0	0	0	0	2	-2	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₄₂	4	4	-4	-4	4	0	0	4	4	-4	-4	-4	-4	4	4	4	-4	1	-1	-1	1	0	0	0	0	1	-1	1	$- i \sqrt{3}$	$i \sqrt{3}$	-1	-1	1	$i \sqrt{3}$	$- i \sqrt{3}$	0	0	-1	-1	1	1	-1	1	$- i \sqrt{3}$	$i \sqrt{3}$	$i \sqrt{3}$	$- i \sqrt{3}$	0	0	0	0	0	0	0	1	-1	$i \sqrt{3}$	$- i \sqrt{3}$	$- i \sqrt{3}$	$i \sqrt{3}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₄₃	4	4	-4	-4	4	0	0	4	4	-4	-4	-4	-4	4	4	4	-4	1	-1	-1	1	0	0	0	0	1	-1	1	$i \sqrt{3}$	$- i \sqrt{3}$	-1	-1	1	$- i \sqrt{3}$	$i \sqrt{3}$	0	0	-1	-1	1	1	-1	1	$i \sqrt{3}$	$- i \sqrt{3}$	$- i \sqrt{3}$	$i \sqrt{3}$	0	0	0	0	0	0	0	1	-1	$- i \sqrt{3}$	$i \sqrt{3}$	$i \sqrt{3}$	$- i \sqrt{3}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₄₄	4	4	-4	-4	4	0	0	4	4	-4	-4	-4	-4	4	4	4	-4	-2	2	2	-2	0	0	0	0	-2	2	-2	0	0	2	2	-2	0	0	0	0	2	2	-2	-2	2	-2	0	0	0	0	0	0	0	0	0	0	0	-2	2	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₄₅	4	-4	0	0	0	0	0	4	-4	-4	4	0	0	0	0	0	0	4	0	0	-4	0	0	0	0	4	0	0	0	0	0	0	-4	0	0	4	-4	4	-4	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₄₆	4	-4	0	0	0	0	0	4	-4	-4	4	0	0	0	0	0	0	-2	$- 2 i \sqrt{3}$	$2 i \sqrt{3}$	2	0	0	0	0	-2	0	0	0	0	$- 2 i \sqrt{3}$	$2 i \sqrt{3}$	2	0	0	4	-4	-2	2	$- 2 i \sqrt{3}$	$2 i \sqrt{3}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₄₇	4	-4	0	0	0	0	0	4	-4	-4	4	0	0	0	0	0	0	-2	$2 i \sqrt{3}$	$- 2 i \sqrt{3}$	2	0	0	0	0	-2	0	0	0	0	$2 i \sqrt{3}$	$- 2 i \sqrt{3}$	2	0	0	4	-4	-2	2	$2 i \sqrt{3}$	$- 2 i \sqrt{3}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₄₈	6	6	-6	6	-6	0	0	6	6	6	6	-6	6	-6	-6	6	-6	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	-2	-2	0	0	0	0	0	0	0	0	0	0	2	-2	2	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₄₉	6	6	-6	-6	6	0	0	6	6	6	6	-6	-6	6	-6	-6	6	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	-2	-2	0	0	0	0	0	0	0	0	0	0	2	2	-2	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₅₀	8	8	8	8	8	8	8	-1	-1	0	0	-1	-1	-1	0	0	0	2	2	2	2	-1	-1	0	0	-1	2	2	2	2	-1	-1	-1	2	2	0	0	0	0	0	0	-1	-1	-1	-1	-1	-1	0	0	0	2	2	2	2	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	-1	-1	-1	-1
χ₅₁	8	8	8	8	8	8	8	-1	-1	0	0	-1	-1	-1	0	0	0	2	2	2	2	-1	-1	0	0	-1	2	2	2	2	-1	-1	-1	2	2	0	0	0	0	0	0	-1	-1	-1	-1	-1	-1	0	0	0	-2	-2	-2	-2	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	1	1	1	1
χ₅₂	8	8	8	8	8	-8	-8	-1	-1	0	0	-1	-1	-1	0	0	0	2	2	2	2	1	1	0	0	-1	2	2	-2	-2	-1	-1	-1	-2	-2	0	0	0	0	0	0	-1	-1	1	1	1	1	0	0	0	2	2	-2	-2	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	-1	-1	1	1
χ₅₃	8	8	8	8	8	-8	-8	-1	-1	0	0	-1	-1	-1	0	0	0	2	2	2	2	1	1	0	0	-1	2	2	-2	-2	-1	-1	-1	-2	-2	0	0	0	0	0	0	-1	-1	1	1	1	1	0	0	0	-2	-2	2	2	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	1	1	-1	-1
χ₅₄	8	8	8	-8	-8	8	-8	-1	-1	0	0	-1	1	1	0	0	0	2	2	2	2	-1	1	0	0	-1	-2	-2	2	2	-1	-1	-1	-2	-2	0	0	0	0	0	0	1	1	-1	-1	1	1	0	0	0	$2 i$	$- 2 i$	$2 i$	$- 2 i$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	$- i$	$i$	$- i$	$i$
χ₅₅	8	8	8	-8	-8	8	-8	-1	-1	0	0	-1	1	1	0	0	0	2	2	2	2	-1	1	0	0	-1	-2	-2	2	2	-1	-1	-1	-2	-2	0	0	0	0	0	0	1	1	-1	-1	1	1	0	0	0	$- 2 i$	$2 i$	$- 2 i$	$2 i$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	$i$	$- i$	$i$	$- i$
χ₅₆	8	8	8	-8	-8	-8	8	-1	-1	0	0	-1	1	1	0	0	0	2	2	2	2	1	-1	0	0	-1	-2	-2	-2	-2	-1	-1	-1	2	2	0	0	0	0	0	0	1	1	1	1	-1	-1	0	0	0	$2 i$	$- 2 i$	$- 2 i$	$2 i$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	$- i$	$i$	$i$	$- i$
χ₅₇	8	8	8	-8	-8	-8	8	-1	-1	0	0	-1	1	1	0	0	0	2	2	2	2	1	-1	0	0	-1	-2	-2	-2	-2	-1	-1	-1	2	2	0	0	0	0	0	0	1	1	1	1	-1	-1	0	0	0	$- 2 i$	$2 i$	$2 i$	$- 2 i$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	$i$	$- i$	$- i$	$i$
χ₅₈	8	-8	0	0	0	0	0	8	-8	8	-8	0	0	0	0	0	0	2	$- 2 i \sqrt{3}$	$2 i \sqrt{3}$	-2	0	0	0	0	2	0	0	0	0	$- 2 i \sqrt{3}$	$2 i \sqrt{3}$	-2	0	0	0	0	-2	2	$2 i \sqrt{3}$	$- 2 i \sqrt{3}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₅₉	8	-8	0	0	0	0	0	8	-8	8	-8	0	0	0	0	0	0	2	$2 i \sqrt{3}$	$- 2 i \sqrt{3}$	-2	0	0	0	0	2	0	0	0	0	$2 i \sqrt{3}$	$- 2 i \sqrt{3}$	-2	0	0	0	0	-2	2	$- 2 i \sqrt{3}$	$2 i \sqrt{3}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₆₀	8	-8	0	0	0	0	0	8	-8	8	-8	0	0	0	0	0	0	-4	0	0	4	0	0	0	0	-4	0	0	0	0	0	0	4	0	0	0	0	4	-4	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₆₁	12	-12	0	0	0	0	0	12	-12	-12	12	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	-4	4	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₆₂	16	16	16	16	16	16	16	-2	-2	0	0	-2	-2	-2	0	0	0	-2	-2	-2	-2	-2	-2	0	0	1	-2	-2	-2	-2	1	1	1	-2	-2	0	0	0	0	0	0	1	1	1	1	1	1	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₆₃	16	16	16	16	16	-16	-16	-2	-2	0	0	-2	-2	-2	0	0	0	-2	-2	-2	-2	2	2	0	0	1	-2	-2	2	2	1	1	1	2	2	0	0	0	0	0	0	1	1	-1	-1	-1	-1	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₆₄	16	16	16	-16	-16	16	-16	-2	-2	0	0	-2	2	2	0	0	0	-2	-2	-2	-2	-2	2	0	0	1	2	2	-2	-2	1	1	1	2	2	0	0	0	0	0	0	-1	-1	1	1	-1	-1	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₆₅	16	16	16	-16	-16	-16	16	-2	-2	0	0	-2	2	2	0	0	0	-2	-2	-2	-2	2	-2	0	0	1	2	2	2	2	1	1	1	-2	-2	0	0	0	0	0	0	-1	-1	-1	-1	1	1	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₆₆	16	16	-16	16	-16	0	0	-2	-2	0	0	2	-2	2	0	0	0	4	-4	-4	4	0	0	0	0	-2	4	-4	0	0	2	2	-2	0	0	0	0	0	0	0	0	-2	2	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₆₇	16	16	-16	16	-16	0	0	-2	-2	0	0	2	-2	2	0	0	0	-2	2	2	-2	0	0	0	0	1	-2	2	$- 2 i \sqrt{3}$	$2 i \sqrt{3}$	-1	-1	1	$- 2 i \sqrt{3}$	$2 i \sqrt{3}$	0	0	0	0	0	0	1	-1	$i \sqrt{3}$	$- i \sqrt{3}$	$i \sqrt{3}$	$- i \sqrt{3}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₆₈	16	16	-16	16	-16	0	0	-2	-2	0	0	2	-2	2	0	0	0	-2	2	2	-2	0	0	0	0	1	-2	2	$2 i \sqrt{3}$	$- 2 i \sqrt{3}$	-1	-1	1	$2 i \sqrt{3}$	$- 2 i \sqrt{3}$	0	0	0	0	0	0	1	-1	$- i \sqrt{3}$	$i \sqrt{3}$	$- i \sqrt{3}$	$i \sqrt{3}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₆₉	16	16	-16	-16	16	0	0	-2	-2	0	0	2	2	-2	0	0	0	4	-4	-4	4	0	0	0	0	-2	-4	4	0	0	2	2	-2	0	0	0	0	0	0	0	0	2	-2	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₇₀	16	16	-16	-16	16	0	0	-2	-2	0	0	2	2	-2	0	0	0	-2	2	2	-2	0	0	0	0	1	2	-2	$- 2 i \sqrt{3}$	$2 i \sqrt{3}$	-1	-1	1	$2 i \sqrt{3}$	$- 2 i \sqrt{3}$	0	0	0	0	0	0	-1	1	$i \sqrt{3}$	$- i \sqrt{3}$	$- i \sqrt{3}$	$i \sqrt{3}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₇₁	16	16	-16	-16	16	0	0	-2	-2	0	0	2	2	-2	0	0	0	-2	2	2	-2	0	0	0	0	1	2	-2	$2 i \sqrt{3}$	$- 2 i \sqrt{3}$	-1	-1	1	$- 2 i \sqrt{3}$	$2 i \sqrt{3}$	0	0	0	0	0	0	-1	1	$- i \sqrt{3}$	$i \sqrt{3}$	$i \sqrt{3}$	$- i \sqrt{3}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₇₂	32	-32	0	0	0	0	0	-4	4	0	0	0	0	0	0	0	0	8	0	0	-8	0	0	0	0	-4	0	0	0	0	0	0	4	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₇₃	32	-32	0	0	0	0	0	-4	4	0	0	0	0	0	0	0	0	-4	$- 4 i \sqrt{3}$	$4 i \sqrt{3}$	4	0	0	0	0	2	0	0	0	0	$2 i \sqrt{3}$	$- 2 i \sqrt{3}$	-2	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₇₄	32	-32	0	0	0	0	0	-4	4	0	0	0	0	0	0	0	0	-4	$4 i \sqrt{3}$	$- 4 i \sqrt{3}$	4	0	0	0	0	2	0	0	0	0	$- 2 i \sqrt{3}$	$2 i \sqrt{3}$	-2	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0

Character table — Group #72220471