Group #72230748 — 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
size	1	1	2	2	2	4	4	4	4	4	8	8	8	8	8	8	8	8	8	8	8	8	8	8	8	8	8	8	8	8	8	8	8	8	8	8	8	8	8	8	8	8	8	8	25	25	30	30	30	30	50	50	50	50	50	50	50	75	75	75	75	100	100	100	100	100	120	120	120	120	150	150
order	1	2	2	3	6	5	5	6	10	10	5	5	10	10	10	10	10	10	10	10	15	15	15	15	15	15	30	30	30	30	30	30	30	30	30	30	30	30	30	30	30	30	30	30	2	2	2	2	4	4	2	4	4	4	4	6	6	4	4	4	4	6	12	12	12	12	10	10	20	20	4	4
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
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
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
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
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	-1	$i$	$- i$	$i$	$- i$	-1	-1	$i$	$i$	$- i$	$- i$	-1	$i$	$i$	$- i$	$- i$	1	-1	1	-1	$i$	$- i$
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	-1	$- i$	$i$	$- i$	$i$	-1	-1	$- i$	$- i$	$i$	$i$	-1	$- i$	$- i$	$i$	$i$	1	-1	1	-1	$- i$	$i$
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	-1	$i$	$- i$	$i$	$- i$	-1	-1	$- i$	$- i$	$i$	$i$	-1	$i$	$i$	$- i$	$- i$	-1	1	-1	1	$- i$	$i$
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	-1	$- i$	$i$	$- i$	$i$	-1	-1	$i$	$i$	$- i$	$- i$	-1	$- i$	$- i$	$i$	$i$	-1	1	-1	1	$i$	$- i$
χ₉	1	1	-1	1	1	1	1	-1	1	1	1	1	-1	-1	1	1	-1	-1	-1	-1	1	1	1	1	1	1	1	1	1	1	1	1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	1	1	1	1	-1	-1	-1	1	1	-1	-1	1	1	-1	-1	-1	-1	-1	1	-1	1	-1	1	1	-1	-1	1	1
χ₁₀	1	1	-1	1	1	1	1	-1	1	1	1	1	-1	-1	1	1	-1	-1	-1	-1	1	1	1	1	1	1	1	1	1	1	1	1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	1	1	1	1	-1	-1	-1	-1	-1	1	1	1	1	1	1	1	1	-1	-1	1	-1	1	1	1	-1	-1	-1	-1
χ₁₁	1	1	-1	1	1	1	1	-1	1	1	1	1	-1	-1	1	1	-1	-1	-1	-1	1	1	1	1	1	1	1	1	1	1	1	1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	1	1	-1	-1	1	1	-1	1	1	-1	-1	1	1	1	1	1	1	-1	1	-1	1	-1	-1	-1	1	1	-1	-1
χ₁₂	1	1	-1	1	1	1	1	-1	1	1	1	1	-1	-1	1	1	-1	-1	-1	-1	1	1	1	1	1	1	1	1	1	1	1	1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	1	1	-1	-1	1	1	-1	-1	-1	1	1	1	1	-1	-1	-1	-1	-1	-1	1	-1	1	-1	-1	1	1	1	1
χ₁₃	1	1	-1	1	1	1	1	-1	1	1	1	1	-1	-1	1	1	-1	-1	-1	-1	1	1	1	1	1	1	1	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	$- i$	$- i$	$i$	$i$	1	$i$	$- i$	$- i$	$i$	1	-1	-1	1	$i$	$- i$
χ₁₄	1	1	-1	1	1	1	1	-1	1	1	1	1	-1	-1	1	1	-1	-1	-1	-1	1	1	1	1	1	1	1	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	$i$	$i$	$- i$	$- i$	1	$- i$	$i$	$i$	$- i$	1	-1	-1	1	$- i$	$i$
χ₁₅	1	1	-1	1	1	1	1	-1	1	1	1	1	-1	-1	1	1	-1	-1	-1	-1	1	1	1	1	1	1	1	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	$i$	$i$	$- i$	$- i$	1	$i$	$- i$	$- i$	$i$	-1	1	1	-1	$- i$	$i$
χ₁₆	1	1	-1	1	1	1	1	-1	1	1	1	1	-1	-1	1	1	-1	-1	-1	-1	1	1	1	1	1	1	1	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	$- i$	$- i$	$i$	$i$	1	$- i$	$i$	$i$	$- i$	-1	1	1	-1	$i$	$- i$
χ₁₇	2	2	2	-1	-1	2	2	-1	2	2	2	2	2	2	2	2	2	2	2	2	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	2	2	0	0	0	0	2	2	2	2	2	-1	-1	0	0	0	0	-1	-1	-1	-1	-1	0	0	0	0	0	0
χ₁₈	2	2	2	-1	-1	2	2	-1	2	2	2	2	2	2	2	2	2	2	2	2	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	2	2	0	0	0	0	2	-2	-2	-2	-2	-1	-1	0	0	0	0	-1	1	1	1	1	0	0	0	0	0	0
χ₁₉	2	2	2	-1	-1	2	2	-1	2	2	2	2	2	2	2	2	2	2	2	2	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-2	-2	0	0	0	0	-2	$2 i$	$- 2 i$	$2 i$	$- 2 i$	1	1	0	0	0	0	1	$- i$	$- i$	$i$	$i$	0	0	0	0	0	0
χ₂₀	2	2	2	-1	-1	2	2	-1	2	2	2	2	2	2	2	2	2	2	2	2	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-2	-2	0	0	0	0	-2	$- 2 i$	$2 i$	$- 2 i$	$2 i$	1	1	0	0	0	0	1	$i$	$i$	$- i$	$- i$	0	0	0	0	0	0
χ₂₁	2	2	-2	-1	-1	2	2	1	2	2	2	2	-2	-2	2	2	-2	-2	-2	-2	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	1	1	1	1	1	1	1	1	1	1	1	1	2	2	0	0	0	0	-2	2	2	-2	-2	-1	-1	0	0	0	0	1	-1	1	-1	1	0	0	0	0	0	0
χ₂₂	2	2	-2	-1	-1	2	2	1	2	2	2	2	-2	-2	2	2	-2	-2	-2	-2	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	1	1	1	1	1	1	1	1	1	1	1	1	2	2	0	0	0	0	-2	-2	-2	2	2	-1	-1	0	0	0	0	1	1	-1	1	-1	0	0	0	0	0	0
χ₂₃	2	2	-2	-1	-1	2	2	1	2	2	2	2	-2	-2	2	2	-2	-2	-2	-2	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	1	1	1	1	1	1	1	1	1	1	1	1	-2	-2	0	0	0	0	2	$2 i$	$- 2 i$	$- 2 i$	$2 i$	1	1	0	0	0	0	-1	$- i$	$i$	$i$	$- i$	0	0	0	0	0	0
χ₂₄	2	2	-2	-1	-1	2	2	1	2	2	2	2	-2	-2	2	2	-2	-2	-2	-2	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	1	1	1	1	1	1	1	1	1	1	1	1	-2	-2	0	0	0	0	2	$- 2 i$	$2 i$	$2 i$	$- 2 i$	1	1	0	0	0	0	-1	$i$	$- i$	$- i$	$i$	0	0	0	0	0	0
χ₂₅	2	-2	0	2	-2	2	2	0	-2	-2	2	2	0	0	-2	-2	0	0	0	0	2	2	2	2	2	2	-2	-2	-2	-2	-2	-2	0	0	0	0	0	0	0	0	0	0	0	0	2	-2	0	0	0	0	0	0	0	0	0	2	-2	$2 i$	$- 2 i$	$2 i$	$- 2 i$	0	0	0	0	0	0	0	0	0	0	0
χ₂₆	2	-2	0	2	-2	2	2	0	-2	-2	2	2	0	0	-2	-2	0	0	0	0	2	2	2	2	2	2	-2	-2	-2	-2	-2	-2	0	0	0	0	0	0	0	0	0	0	0	0	2	-2	0	0	0	0	0	0	0	0	0	2	-2	$- 2 i$	$2 i$	$- 2 i$	$2 i$	0	0	0	0	0	0	0	0	0	0	0
χ₂₇	2	-2	0	2	-2	2	2	0	-2	-2	2	2	0	0	-2	-2	0	0	0	0	2	2	2	2	2	2	-2	-2	-2	-2	-2	-2	0	0	0	0	0	0	0	0	0	0	0	0	-2	2	0	0	0	0	0	0	0	0	0	-2	2	2	-2	-2	2	0	0	0	0	0	0	0	0	0	0	0
χ₂₈	2	-2	0	2	-2	2	2	0	-2	-2	2	2	0	0	-2	-2	0	0	0	0	2	2	2	2	2	2	-2	-2	-2	-2	-2	-2	0	0	0	0	0	0	0	0	0	0	0	0	-2	2	0	0	0	0	0	0	0	0	0	-2	2	-2	2	2	-2	0	0	0	0	0	0	0	0	0	0	0
χ₂₉	4	4	4	4	4	4	-1	4	4	-1	-1	-1	4	-1	-1	-1	-1	-1	-1	-1	4	-1	-1	-1	-1	-1	4	-1	-1	-1	-1	-1	4	4	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	0	0	0	4	0	4	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	-1	0	-1	0	0
χ₃₀	4	4	4	4	4	4	-1	4	4	-1	-1	-1	4	-1	-1	-1	-1	-1	-1	-1	4	-1	-1	-1	-1	-1	4	-1	-1	-1	-1	-1	4	4	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	0	0	0	-4	0	-4	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	1	0	1	0	0
χ₃₁	4	4	4	4	4	-1	4	4	-1	4	-1	-1	-1	4	-1	-1	-1	-1	-1	-1	-1	4	-1	-1	-1	-1	-1	4	-1	-1	-1	-1	-1	-1	4	4	-1	-1	-1	-1	-1	-1	-1	-1	0	0	4	0	4	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	-1	0	-1	0	0	0
χ₃₂	4	4	4	4	4	-1	4	4	-1	4	-1	-1	-1	4	-1	-1	-1	-1	-1	-1	-1	4	-1	-1	-1	-1	-1	4	-1	-1	-1	-1	-1	-1	4	4	-1	-1	-1	-1	-1	-1	-1	-1	0	0	-4	0	-4	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	1	0	1	0	0	0
χ₃₃	4	4	-4	4	4	4	-1	-4	4	-1	-1	-1	-4	1	-1	-1	1	1	1	1	4	-1	-1	-1	-1	-1	4	-1	-1	-1	-1	-1	-4	-4	1	1	1	1	1	1	1	1	1	1	0	0	0	4	0	-4	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	-1	0	1	0	0
χ₃₄	4	4	-4	4	4	4	-1	-4	4	-1	-1	-1	-4	1	-1	-1	1	1	1	1	4	-1	-1	-1	-1	-1	4	-1	-1	-1	-1	-1	-4	-4	1	1	1	1	1	1	1	1	1	1	0	0	0	-4	0	4	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	1	0	-1	0	0
χ₃₅	4	4	-4	4	4	-1	4	-4	-1	4	-1	-1	1	-4	-1	-1	1	1	1	1	-1	4	-1	-1	-1	-1	-1	4	-1	-1	-1	-1	1	1	-4	-4	1	1	1	1	1	1	1	1	0	0	4	0	-4	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	-1	0	1	0	0	0
χ₃₆	4	4	-4	4	4	-1	4	-4	-1	4	-1	-1	1	-4	-1	-1	1	1	1	1	-1	4	-1	-1	-1	-1	-1	4	-1	-1	-1	-1	1	1	-4	-4	1	1	1	1	1	1	1	1	0	0	-4	0	4	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	1	0	-1	0	0	0
χ₃₇	4	-4	0	-2	2	4	4	0	-4	-4	4	4	0	0	-4	-4	0	0	0	0	-2	-2	-2	-2	-2	-2	2	2	2	2	2	2	0	0	0	0	0	0	0	0	0	0	0	0	4	-4	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
χ₃₈	4	-4	0	-2	2	4	4	0	-4	-4	4	4	0	0	-4	-4	0	0	0	0	-2	-2	-2	-2	-2	-2	2	2	2	2	2	2	0	0	0	0	0	0	0	0	0	0	0	0	-4	4	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
χ₃₉	8	8	8	8	8	-2	-2	8	-2	-2	3	-2	-2	-2	3	-2	3	3	-2	-2	-2	-2	3	3	-2	-2	-2	-2	3	3	-2	-2	-2	-2	-2	-2	3	3	3	3	-2	-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	0	0	0	0
χ₄₀	8	8	8	8	8	-2	-2	8	-2	-2	-2	3	-2	-2	-2	3	-2	-2	3	3	-2	-2	-2	-2	3	3	-2	-2	-2	-2	3	3	-2	-2	-2	-2	-2	-2	-2	-2	3	3	3	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
χ₄₁	8	8	8	-4	-4	8	-2	-4	8	-2	-2	-2	8	-2	-2	-2	-2	-2	-2	-2	-4	1	1	1	1	1	-4	1	1	1	1	1	-4	-4	1	1	1	1	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	0
χ₄₂	8	8	8	-4	-4	-2	8	-4	-2	8	-2	-2	-2	8	-2	-2	-2	-2	-2	-2	1	-4	1	1	1	1	1	-4	1	1	1	1	1	1	-4	-4	1	1	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	0
χ₄₃	8	8	8	-4	-4	-2	-2	-4	-2	-2	3	-2	-2	-2	3	-2	3	3	-2	-2	1	1	$\frac{- 3 - 5 i \sqrt{3}}{2}$	$\frac{- 3 + 5 i \sqrt{3}}{2}$	1	1	1	1	$\frac{- 3 - 5 i \sqrt{3}}{2}$	$\frac{- 3 + 5 i \sqrt{3}}{2}$	1	1	1	1	1	1	$\frac{- 3 - 5 i \sqrt{3}}{2}$	$\frac{- 3 - 5 i \sqrt{3}}{2}$	$\frac{- 3 + 5 i \sqrt{3}}{2}$	$\frac{- 3 + 5 i \sqrt{3}}{2}$	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	0
χ₄₄	8	8	8	-4	-4	-2	-2	-4	-2	-2	3	-2	-2	-2	3	-2	3	3	-2	-2	1	1	$\frac{- 3 + 5 i \sqrt{3}}{2}$	$\frac{- 3 - 5 i \sqrt{3}}{2}$	1	1	1	1	$\frac{- 3 + 5 i \sqrt{3}}{2}$	$\frac{- 3 - 5 i \sqrt{3}}{2}$	1	1	1	1	1	1	$\frac{- 3 + 5 i \sqrt{3}}{2}$	$\frac{- 3 + 5 i \sqrt{3}}{2}$	$\frac{- 3 - 5 i \sqrt{3}}{2}$	$\frac{- 3 - 5 i \sqrt{3}}{2}$	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	0
χ₄₅	8	8	8	-4	-4	-2	-2	-4	-2	-2	-2	3	-2	-2	-2	3	-2	-2	3	3	1	1	1	1	$\frac{- 3 - 5 i \sqrt{3}}{2}$	$\frac{- 3 + 5 i \sqrt{3}}{2}$	1	1	1	1	$\frac{- 3 - 5 i \sqrt{3}}{2}$	$\frac{- 3 + 5 i \sqrt{3}}{2}$	1	1	1	1	1	1	1	1	$\frac{- 3 - 5 i \sqrt{3}}{2}$	$\frac{- 3 - 5 i \sqrt{3}}{2}$	$\frac{- 3 + 5 i \sqrt{3}}{2}$	$\frac{- 3 + 5 i \sqrt{3}}{2}$	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
χ₄₆	8	8	8	-4	-4	-2	-2	-4	-2	-2	-2	3	-2	-2	-2	3	-2	-2	3	3	1	1	1	1	$\frac{- 3 + 5 i \sqrt{3}}{2}$	$\frac{- 3 - 5 i \sqrt{3}}{2}$	1	1	1	1	$\frac{- 3 + 5 i \sqrt{3}}{2}$	$\frac{- 3 - 5 i \sqrt{3}}{2}$	1	1	1	1	1	1	1	1	$\frac{- 3 + 5 i \sqrt{3}}{2}$	$\frac{- 3 + 5 i \sqrt{3}}{2}$	$\frac{- 3 - 5 i \sqrt{3}}{2}$	$\frac{- 3 - 5 i \sqrt{3}}{2}$	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
χ₄₇	8	8	-8	8	8	-2	-2	-8	-2	-2	3	-2	2	2	3	-2	-3	-3	2	2	-2	-2	3	3	-2	-2	-2	-2	3	3	-2	-2	2	2	2	2	-3	-3	-3	-3	2	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	0	0	0	0
χ₄₈	8	8	-8	8	8	-2	-2	-8	-2	-2	-2	3	2	2	-2	3	2	2	-3	-3	-2	-2	-2	-2	3	3	-2	-2	-2	-2	3	3	2	2	2	2	2	2	2	2	-3	-3	-3	-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
χ₄₉	8	8	-8	-4	-4	8	-2	4	8	-2	-2	-2	-8	2	-2	-2	2	2	2	2	-4	1	1	1	1	1	-4	1	1	1	1	1	4	4	-1	-1	-1	-1	-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	0
χ₅₀	8	8	-8	-4	-4	-2	8	4	-2	8	-2	-2	2	-8	-2	-2	2	2	2	2	1	-4	1	1	1	1	1	-4	1	1	1	1	-1	-1	4	4	-1	-1	-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	0
χ₅₁	8	8	-8	-4	-4	-2	-2	4	-2	-2	3	-2	2	2	3	-2	-3	-3	2	2	1	1	$\frac{- 3 - 5 i \sqrt{3}}{2}$	$\frac{- 3 + 5 i \sqrt{3}}{2}$	1	1	1	1	$\frac{- 3 - 5 i \sqrt{3}}{2}$	$\frac{- 3 + 5 i \sqrt{3}}{2}$	1	1	-1	-1	-1	-1	$\frac{3 + 5 i \sqrt{3}}{2}$	$\frac{3 + 5 i \sqrt{3}}{2}$	$\frac{3 - 5 i \sqrt{3}}{2}$	$\frac{3 - 5 i \sqrt{3}}{2}$	-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	0
χ₅₂	8	8	-8	-4	-4	-2	-2	4	-2	-2	3	-2	2	2	3	-2	-3	-3	2	2	1	1	$\frac{- 3 + 5 i \sqrt{3}}{2}$	$\frac{- 3 - 5 i \sqrt{3}}{2}$	1	1	1	1	$\frac{- 3 + 5 i \sqrt{3}}{2}$	$\frac{- 3 - 5 i \sqrt{3}}{2}$	1	1	-1	-1	-1	-1	$\frac{3 - 5 i \sqrt{3}}{2}$	$\frac{3 - 5 i \sqrt{3}}{2}$	$\frac{3 + 5 i \sqrt{3}}{2}$	$\frac{3 + 5 i \sqrt{3}}{2}$	-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	0
χ₅₃	8	8	-8	-4	-4	-2	-2	4	-2	-2	-2	3	2	2	-2	3	2	2	-3	-3	1	1	1	1	$\frac{- 3 - 5 i \sqrt{3}}{2}$	$\frac{- 3 + 5 i \sqrt{3}}{2}$	1	1	1	1	$\frac{- 3 - 5 i \sqrt{3}}{2}$	$\frac{- 3 + 5 i \sqrt{3}}{2}$	-1	-1	-1	-1	-1	-1	-1	-1	$\frac{3 + 5 i \sqrt{3}}{2}$	$\frac{3 + 5 i \sqrt{3}}{2}$	$\frac{3 - 5 i \sqrt{3}}{2}$	$\frac{3 - 5 i \sqrt{3}}{2}$	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
χ₅₄	8	8	-8	-4	-4	-2	-2	4	-2	-2	-2	3	2	2	-2	3	2	2	-3	-3	1	1	1	1	$\frac{- 3 + 5 i \sqrt{3}}{2}$	$\frac{- 3 - 5 i \sqrt{3}}{2}$	1	1	1	1	$\frac{- 3 + 5 i \sqrt{3}}{2}$	$\frac{- 3 - 5 i \sqrt{3}}{2}$	-1	-1	-1	-1	-1	-1	-1	-1	$\frac{3 - 5 i \sqrt{3}}{2}$	$\frac{3 - 5 i \sqrt{3}}{2}$	$\frac{3 + 5 i \sqrt{3}}{2}$	$\frac{3 + 5 i \sqrt{3}}{2}$	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
χ₅₅	8	-8	0	8	-8	8	-2	0	-8	2	-2	-2	0	0	2	2	0	0	0	0	8	-2	-2	-2	-2	-2	-8	2	2	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	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₅₆	8	-8	0	8	-8	-2	8	0	2	-8	-2	-2	0	0	2	2	0	0	0	0	-2	8	-2	-2	-2	-2	2	-8	2	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	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₅₇	8	-8	0	8	-8	-2	-2	0	2	2	3	-2	0	0	-3	2	$- \sqrt{5}$	$\sqrt{5}$	$- 2 \sqrt{5}$	$2 \sqrt{5}$	-2	-2	3	3	-2	-2	2	2	-3	-3	2	2	0	0	0	0	$- \sqrt{5}$	$\sqrt{5}$	$- \sqrt{5}$	$\sqrt{5}$	$- 2 \sqrt{5}$	$2 \sqrt{5}$	$- 2 \sqrt{5}$	$2 \sqrt{5}$	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
χ₅₈	8	-8	0	8	-8	-2	-2	0	2	2	3	-2	0	0	-3	2	$\sqrt{5}$	$- \sqrt{5}$	$2 \sqrt{5}$	$- 2 \sqrt{5}$	-2	-2	3	3	-2	-2	2	2	-3	-3	2	2	0	0	0	0	$\sqrt{5}$	$- \sqrt{5}$	$\sqrt{5}$	$- \sqrt{5}$	$2 \sqrt{5}$	$- 2 \sqrt{5}$	$2 \sqrt{5}$	$- 2 \sqrt{5}$	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	8	-8	-2	-2	0	2	2	-2	3	0	0	2	-3	$- 2 \sqrt{5}$	$2 \sqrt{5}$	$\sqrt{5}$	$- \sqrt{5}$	-2	-2	-2	-2	3	3	2	2	2	2	-3	-3	0	0	0	0	$- 2 \sqrt{5}$	$2 \sqrt{5}$	$- 2 \sqrt{5}$	$2 \sqrt{5}$	$\sqrt{5}$	$- \sqrt{5}$	$\sqrt{5}$	$- \sqrt{5}$	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	8	-8	-2	-2	0	2	2	-2	3	0	0	2	-3	$2 \sqrt{5}$	$- 2 \sqrt{5}$	$- \sqrt{5}$	$\sqrt{5}$	-2	-2	-2	-2	3	3	2	2	2	2	-3	-3	0	0	0	0	$2 \sqrt{5}$	$- 2 \sqrt{5}$	$2 \sqrt{5}$	$- 2 \sqrt{5}$	$- \sqrt{5}$	$\sqrt{5}$	$- \sqrt{5}$	$\sqrt{5}$	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	8	-8	0	-4	4	8	-2	0	-8	2	-2	-2	0	0	2	2	0	0	0	0	-4	1	1	1	1	1	4	-1	-1	-1	-1	-1	0	0	$- i \sqrt{15}$	$i \sqrt{15}$	$- i \sqrt{15}$	$i \sqrt{15}$	$i \sqrt{15}$	$- i \sqrt{15}$	$- i \sqrt{15}$	$i \sqrt{15}$	$i \sqrt{15}$	$- i \sqrt{15}$	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	8	-8	0	-4	4	8	-2	0	-8	2	-2	-2	0	0	2	2	0	0	0	0	-4	1	1	1	1	1	4	-1	-1	-1	-1	-1	0	0	$i \sqrt{15}$	$- i \sqrt{15}$	$i \sqrt{15}$	$- i \sqrt{15}$	$- i \sqrt{15}$	$i \sqrt{15}$	$i \sqrt{15}$	$- i \sqrt{15}$	$- i \sqrt{15}$	$i \sqrt{15}$	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
χ₆₃	8	-8	0	-4	4	-2	8	0	2	-8	-2	-2	0	0	2	2	0	0	0	0	1	-4	1	1	1	1	-1	4	-1	-1	-1	-1	$- i \sqrt{15}$	$i \sqrt{15}$	0	0	$- i \sqrt{15}$	$i \sqrt{15}$	$i \sqrt{15}$	$- i \sqrt{15}$	$i \sqrt{15}$	$- i \sqrt{15}$	$- i \sqrt{15}$	$i \sqrt{15}$	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
χ₆₄	8	-8	0	-4	4	-2	8	0	2	-8	-2	-2	0	0	2	2	0	0	0	0	1	-4	1	1	1	1	-1	4	-1	-1	-1	-1	$i \sqrt{15}$	$- i \sqrt{15}$	0	0	$i \sqrt{15}$	$- i \sqrt{15}$	$- i \sqrt{15}$	$i \sqrt{15}$	$- i \sqrt{15}$	$i \sqrt{15}$	$i \sqrt{15}$	$- i \sqrt{15}$	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
χ₆₅	8	-8	0	-4	4	-2	-2	0	2	2	3	-2	0	0	-3	2	$- \sqrt{5}$	$\sqrt{5}$	$- 2 \sqrt{5}$	$2 \sqrt{5}$	1	1	$\frac{- 3 - 5 i \sqrt{3}}{2}$	$\frac{- 3 + 5 i \sqrt{3}}{2}$	1	1	-1	-1	$\frac{3 + 5 i \sqrt{3}}{2}$	$\frac{3 - 5 i \sqrt{3}}{2}$	-1	-1	$i \sqrt{15}$	$- i \sqrt{15}$	$i \sqrt{15}$	$- i \sqrt{15}$	ζ²−ζ¹⁴−ζ²⁶+ζ³⁸	−ζ²+ζ¹⁴+ζ²⁶−ζ³⁸	ζ²²−ζ³⁴−ζ⁴⁶+ζ⁵⁸	−ζ²²+ζ³⁴+ζ⁴⁶−ζ⁵⁸	$\sqrt{5}$	$- \sqrt{5}$	$\sqrt{5}$	$- \sqrt{5}$	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
χ₆₆	8	-8	0	-4	4	-2	-2	0	2	2	3	-2	0	0	-3	2	$- \sqrt{5}$	$\sqrt{5}$	$- 2 \sqrt{5}$	$2 \sqrt{5}$	1	1	$\frac{- 3 + 5 i \sqrt{3}}{2}$	$\frac{- 3 - 5 i \sqrt{3}}{2}$	1	1	-1	-1	$\frac{3 - 5 i \sqrt{3}}{2}$	$\frac{3 + 5 i \sqrt{3}}{2}$	-1	-1	$- i \sqrt{15}$	$i \sqrt{15}$	$- i \sqrt{15}$	$i \sqrt{15}$	ζ²²−ζ³⁴−ζ⁴⁶+ζ⁵⁸	−ζ²²+ζ³⁴+ζ⁴⁶−ζ⁵⁸	ζ²−ζ¹⁴−ζ²⁶+ζ³⁸	−ζ²+ζ¹⁴+ζ²⁶−ζ³⁸	$\sqrt{5}$	$- \sqrt{5}$	$\sqrt{5}$	$- \sqrt{5}$	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	8	-8	0	-4	4	-2	-2	0	2	2	3	-2	0	0	-3	2	$\sqrt{5}$	$- \sqrt{5}$	$2 \sqrt{5}$	$- 2 \sqrt{5}$	1	1	$\frac{- 3 - 5 i \sqrt{3}}{2}$	$\frac{- 3 + 5 i \sqrt{3}}{2}$	1	1	-1	-1	$\frac{3 + 5 i \sqrt{3}}{2}$	$\frac{3 - 5 i \sqrt{3}}{2}$	-1	-1	$- i \sqrt{15}$	$i \sqrt{15}$	$- i \sqrt{15}$	$i \sqrt{15}$	−ζ²+ζ¹⁴+ζ²⁶−ζ³⁸	ζ²−ζ¹⁴−ζ²⁶+ζ³⁸	−ζ²²+ζ³⁴+ζ⁴⁶−ζ⁵⁸	ζ²²−ζ³⁴−ζ⁴⁶+ζ⁵⁸	$- \sqrt{5}$	$\sqrt{5}$	$- \sqrt{5}$	$\sqrt{5}$	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
χ₆₈	8	-8	0	-4	4	-2	-2	0	2	2	3	-2	0	0	-3	2	$\sqrt{5}$	$- \sqrt{5}$	$2 \sqrt{5}$	$- 2 \sqrt{5}$	1	1	$\frac{- 3 + 5 i \sqrt{3}}{2}$	$\frac{- 3 - 5 i \sqrt{3}}{2}$	1	1	-1	-1	$\frac{3 - 5 i \sqrt{3}}{2}$	$\frac{3 + 5 i \sqrt{3}}{2}$	-1	-1	$i \sqrt{15}$	$- i \sqrt{15}$	$i \sqrt{15}$	$- i \sqrt{15}$	−ζ²²+ζ³⁴+ζ⁴⁶−ζ⁵⁸	ζ²²−ζ³⁴−ζ⁴⁶+ζ⁵⁸	−ζ²+ζ¹⁴+ζ²⁶−ζ³⁸	ζ²−ζ¹⁴−ζ²⁶+ζ³⁸	$- \sqrt{5}$	$\sqrt{5}$	$- \sqrt{5}$	$\sqrt{5}$	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
χ₆₉	8	-8	0	-4	4	-2	-2	0	2	2	-2	3	0	0	2	-3	$- 2 \sqrt{5}$	$2 \sqrt{5}$	$\sqrt{5}$	$- \sqrt{5}$	1	1	1	1	$\frac{- 3 - 5 i \sqrt{3}}{2}$	$\frac{- 3 + 5 i \sqrt{3}}{2}$	-1	-1	-1	-1	$\frac{3 + 5 i \sqrt{3}}{2}$	$\frac{3 - 5 i \sqrt{3}}{2}$	$i \sqrt{15}$	$- i \sqrt{15}$	$- i \sqrt{15}$	$i \sqrt{15}$	$\sqrt{5}$	$- \sqrt{5}$	$\sqrt{5}$	$- \sqrt{5}$	−ζ²+ζ¹⁴+ζ²⁶−ζ³⁸	ζ²−ζ¹⁴−ζ²⁶+ζ³⁸	−ζ²²+ζ³⁴+ζ⁴⁶−ζ⁵⁸	ζ²²−ζ³⁴−ζ⁴⁶+ζ⁵⁸	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	8	-8	0	-4	4	-2	-2	0	2	2	-2	3	0	0	2	-3	$- 2 \sqrt{5}$	$2 \sqrt{5}$	$\sqrt{5}$	$- \sqrt{5}$	1	1	1	1	$\frac{- 3 + 5 i \sqrt{3}}{2}$	$\frac{- 3 - 5 i \sqrt{3}}{2}$	-1	-1	-1	-1	$\frac{3 - 5 i \sqrt{3}}{2}$	$\frac{3 + 5 i \sqrt{3}}{2}$	$- i \sqrt{15}$	$i \sqrt{15}$	$i \sqrt{15}$	$- i \sqrt{15}$	$\sqrt{5}$	$- \sqrt{5}$	$\sqrt{5}$	$- \sqrt{5}$	−ζ²²+ζ³⁴+ζ⁴⁶−ζ⁵⁸	ζ²²−ζ³⁴−ζ⁴⁶+ζ⁵⁸	−ζ²+ζ¹⁴+ζ²⁶−ζ³⁸	ζ²−ζ¹⁴−ζ²⁶+ζ³⁸	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
χ₇₁	8	-8	0	-4	4	-2	-2	0	2	2	-2	3	0	0	2	-3	$2 \sqrt{5}$	$- 2 \sqrt{5}$	$- \sqrt{5}$	$\sqrt{5}$	1	1	1	1	$\frac{- 3 - 5 i \sqrt{3}}{2}$	$\frac{- 3 + 5 i \sqrt{3}}{2}$	-1	-1	-1	-1	$\frac{3 + 5 i \sqrt{3}}{2}$	$\frac{3 - 5 i \sqrt{3}}{2}$	$- i \sqrt{15}$	$i \sqrt{15}$	$i \sqrt{15}$	$- i \sqrt{15}$	$- \sqrt{5}$	$\sqrt{5}$	$- \sqrt{5}$	$\sqrt{5}$	ζ²−ζ¹⁴−ζ²⁶+ζ³⁸	−ζ²+ζ¹⁴+ζ²⁶−ζ³⁸	ζ²²−ζ³⁴−ζ⁴⁶+ζ⁵⁸	−ζ²²+ζ³⁴+ζ⁴⁶−ζ⁵⁸	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
χ₇₂	8	-8	0	-4	4	-2	-2	0	2	2	-2	3	0	0	2	-3	$2 \sqrt{5}$	$- 2 \sqrt{5}$	$- \sqrt{5}$	$\sqrt{5}$	1	1	1	1	$\frac{- 3 + 5 i \sqrt{3}}{2}$	$\frac{- 3 - 5 i \sqrt{3}}{2}$	-1	-1	-1	-1	$\frac{3 - 5 i \sqrt{3}}{2}$	$\frac{3 + 5 i \sqrt{3}}{2}$	$i \sqrt{15}$	$- i \sqrt{15}$	$- i \sqrt{15}$	$i \sqrt{15}$	$- \sqrt{5}$	$\sqrt{5}$	$- \sqrt{5}$	$\sqrt{5}$	ζ²²−ζ³⁴−ζ⁴⁶+ζ⁵⁸	−ζ²²+ζ³⁴+ζ⁴⁶−ζ⁵⁸	ζ²−ζ¹⁴−ζ²⁶+ζ³⁸	−ζ²+ζ¹⁴+ζ²⁶−ζ³⁸	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 #72230748