Group #72230952 — 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	C₇₅	C₇₆	C₇₇	C₇₈
size	1	1	2	2	2	2	2	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	25	25	25	25	30	30	30	30	50	50	50	50	50	50	50	50	50	50	50	50	50	50	50	120	120	120	120	150	150	150	150
order	1	2	3	4	6	12	12	5	5	10	10	5	5	10	10	15	15	15	15	15	15	20	20	20	20	20	20	30	30	30	30	30	30	60	60	60	60	60	60	60	60	60	60	60	60	2	2	4	4	4	4	2	2	2	2	4	4	4	6	6	12	12	12	12	12	12	12	12	12	12	10	10	10	10	4	4	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	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	-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	-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	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	$i$	$i$	$- i$	$- i$	1	1	-1	-1	-1	$i$	$- i$	-1	-1	-1	-1	$i$	$i$	$i$	$i$	$- i$	$- i$	$- i$	$- i$	1	1	-1	-1	$i$	$i$	$- i$	$- i$
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	$i$	$i$	$- i$	$- i$	-1	-1	1	1	-1	$i$	$- i$	-1	-1	-1	-1	$i$	$i$	$i$	$i$	$- i$	$- i$	$- i$	$- i$	-1	-1	1	1	$- i$	$- i$	$i$	$i$
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	$- i$	$- i$	$i$	$i$	1	1	-1	-1	-1	$- i$	$i$	-1	-1	-1	-1	$- i$	$- i$	$- i$	$- i$	$i$	$i$	$i$	$i$	1	1	-1	-1	$- i$	$- i$	$i$	$i$
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	$- i$	$- i$	$i$	$i$	-1	-1	1	1	-1	$- i$	$i$	-1	-1	-1	-1	$- i$	$- i$	$- i$	$- i$	$i$	$i$	$i$	$i$	-1	-1	1	1	$i$	$i$	$- i$	$- i$
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	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	-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	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	-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	$i$	$i$	$- i$	$- i$	1	-1	-1	1	1	$- i$	$i$	-1	-1	1	1	$i$	$i$	$- i$	$- i$	$- i$	$- i$	$i$	$i$	1	-1	-1	1	$i$	$- i$	$- i$	$i$
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	$i$	$i$	$- i$	$- i$	-1	1	1	-1	1	$- i$	$i$	-1	-1	1	1	$i$	$i$	$- i$	$- i$	$- i$	$- i$	$i$	$i$	-1	1	1	-1	$- i$	$i$	$i$	$- i$
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	$- i$	$- i$	$i$	$i$	1	-1	-1	1	1	$i$	$- i$	-1	-1	1	1	$- i$	$- i$	$i$	$i$	$i$	$i$	$- i$	$- i$	1	-1	-1	1	$- i$	$i$	$i$	$- i$
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	$- i$	$- i$	$i$	$i$	-1	1	1	-1	1	$i$	$- i$	-1	-1	1	1	$- i$	$- i$	$i$	$i$	$i$	$i$	$- i$	$- i$	-1	1	1	-1	$i$	$- i$	$- i$	$i$
χ₁₇	2	2	-1	2	-1	-1	-1	2	2	2	2	2	2	2	2	-1	-1	-1	-1	-1	-1	2	2	2	2	2	2	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	2	2	2	2	2	2	0	0	0	0	2	2	2	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	0	0	0	0	0	0	0	0
χ₁₈	2	2	-1	2	-1	-1	-1	2	2	2	2	2	2	2	2	-1	-1	-1	-1	-1	-1	2	2	2	2	2	2	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	2	2	-2	-2	-2	-2	0	0	0	0	2	-2	-2	-1	-1	-1	-1	1	1	1	1	1	1	1	1	0	0	0	0	0	0	0	0
χ₁₉	2	2	-1	2	-1	-1	-1	2	2	2	2	2	2	2	2	-1	-1	-1	-1	-1	-1	2	2	2	2	2	2	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-2	-2	$2 i$	$2 i$	$- 2 i$	$- 2 i$	0	0	0	0	-2	$2 i$	$- 2 i$	1	1	1	1	$- i$	$- i$	$- i$	$- i$	$i$	$i$	$i$	$i$	0	0	0	0	0	0	0	0
χ₂₀	2	2	-1	2	-1	-1	-1	2	2	2	2	2	2	2	2	-1	-1	-1	-1	-1	-1	2	2	2	2	2	2	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-2	-2	$- 2 i$	$- 2 i$	$2 i$	$2 i$	0	0	0	0	-2	$- 2 i$	$2 i$	1	1	1	1	$i$	$i$	$i$	$i$	$- i$	$- i$	$- i$	$- i$	0	0	0	0	0	0	0	0
χ₂₁	2	2	-1	-2	-1	1	1	2	2	2	2	2	2	2	2	-1	-1	-1	-1	-1	-1	-2	-2	-2	-2	-2	-2	-1	-1	-1	-1	-1	-1	1	1	1	1	1	1	1	1	1	1	1	1	2	2	2	2	2	2	0	0	0	0	-2	-2	-2	-1	-1	1	1	-1	-1	1	1	-1	-1	1	1	0	0	0	0	0	0	0	0
χ₂₂	2	2	-1	-2	-1	1	1	2	2	2	2	2	2	2	2	-1	-1	-1	-1	-1	-1	-2	-2	-2	-2	-2	-2	-1	-1	-1	-1	-1	-1	1	1	1	1	1	1	1	1	1	1	1	1	2	2	-2	-2	-2	-2	0	0	0	0	-2	2	2	-1	-1	1	1	1	1	-1	-1	1	1	-1	-1	0	0	0	0	0	0	0	0
χ₂₃	2	2	-1	-2	-1	1	1	2	2	2	2	2	2	2	2	-1	-1	-1	-1	-1	-1	-2	-2	-2	-2	-2	-2	-1	-1	-1	-1	-1	-1	1	1	1	1	1	1	1	1	1	1	1	1	-2	-2	$2 i$	$2 i$	$- 2 i$	$- 2 i$	0	0	0	0	2	$- 2 i$	$2 i$	1	1	-1	-1	$- i$	$- i$	$i$	$i$	$i$	$i$	$- i$	$- i$	0	0	0	0	0	0	0	0
χ₂₄	2	2	-1	-2	-1	1	1	2	2	2	2	2	2	2	2	-1	-1	-1	-1	-1	-1	-2	-2	-2	-2	-2	-2	-1	-1	-1	-1	-1	-1	1	1	1	1	1	1	1	1	1	1	1	1	-2	-2	$- 2 i$	$- 2 i$	$2 i$	$2 i$	0	0	0	0	2	$2 i$	$- 2 i$	1	1	-1	-1	$i$	$i$	$- i$	$- i$	$- i$	$- i$	$i$	$i$	0	0	0	0	0	0	0	0
χ₂₅	2	-2	2	0	-2	0	0	2	2	-2	-2	2	2	-2	-2	2	2	2	2	2	2	0	0	0	0	0	0	-2	-2	-2	-2	-2	-2	0	0	0	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	2	-2	0	0	$2 i$	$- 2 i$	0	0	$2 i$	$- 2 i$	0	0	0	0	0	0	0	0	0	0
χ₂₆	2	-2	2	0	-2	0	0	2	2	-2	-2	2	2	-2	-2	2	2	2	2	2	2	0	0	0	0	0	0	-2	-2	-2	-2	-2	-2	0	0	0	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	2	-2	0	0	$- 2 i$	$2 i$	0	0	$- 2 i$	$2 i$	0	0	0	0	0	0	0	0	0	0
χ₂₇	2	-2	2	0	-2	0	0	2	2	-2	-2	2	2	-2	-2	2	2	2	2	2	2	0	0	0	0	0	0	-2	-2	-2	-2	-2	-2	0	0	0	0	0	0	0	0	0	0	0	0	-2	2	2	-2	-2	2	0	0	0	0	0	0	0	-2	2	0	0	2	-2	0	0	-2	2	0	0	0	0	0	0	0	0	0	0
χ₂₈	2	-2	2	0	-2	0	0	2	2	-2	-2	2	2	-2	-2	2	2	2	2	2	2	0	0	0	0	0	0	-2	-2	-2	-2	-2	-2	0	0	0	0	0	0	0	0	0	0	0	0	-2	2	-2	2	2	-2	0	0	0	0	0	0	0	-2	2	0	0	-2	2	0	0	2	-2	0	0	0	0	0	0	0	0	0	0
χ₂₉	2	-2	-1	0	1	$\sqrt{3}$	$- \sqrt{3}$	2	2	-2	-2	2	2	-2	-2	-1	-1	-1	-1	-1	-1	0	0	0	0	0	0	1	1	1	1	1	1	$\sqrt{3}$	$\sqrt{3}$	$\sqrt{3}$	$\sqrt{3}$	$\sqrt{3}$	$\sqrt{3}$	$- \sqrt{3}$	$- \sqrt{3}$	$- \sqrt{3}$	$- \sqrt{3}$	$- \sqrt{3}$	$- \sqrt{3}$	2	-2	$2 i$	$- 2 i$	$2 i$	$- 2 i$	0	0	0	0	0	0	0	-1	1	$\sqrt{3}$	$- \sqrt{3}$	$- i$	$i$	$- i \sqrt{3}$	$i \sqrt{3}$	$- i$	$i$	$- i \sqrt{3}$	$i \sqrt{3}$	0	0	0	0	0	0	0	0
χ₃₀	2	-2	-1	0	1	$\sqrt{3}$	$- \sqrt{3}$	2	2	-2	-2	2	2	-2	-2	-1	-1	-1	-1	-1	-1	0	0	0	0	0	0	1	1	1	1	1	1	$\sqrt{3}$	$\sqrt{3}$	$\sqrt{3}$	$\sqrt{3}$	$\sqrt{3}$	$\sqrt{3}$	$- \sqrt{3}$	$- \sqrt{3}$	$- \sqrt{3}$	$- \sqrt{3}$	$- \sqrt{3}$	$- \sqrt{3}$	2	-2	$- 2 i$	$2 i$	$- 2 i$	$2 i$	0	0	0	0	0	0	0	-1	1	$\sqrt{3}$	$- \sqrt{3}$	$i$	$- i$	$i \sqrt{3}$	$- i \sqrt{3}$	$i$	$- i$	$i \sqrt{3}$	$- i \sqrt{3}$	0	0	0	0	0	0	0	0
χ₃₁	2	-2	-1	0	1	$\sqrt{3}$	$- \sqrt{3}$	2	2	-2	-2	2	2	-2	-2	-1	-1	-1	-1	-1	-1	0	0	0	0	0	0	1	1	1	1	1	1	$\sqrt{3}$	$\sqrt{3}$	$\sqrt{3}$	$\sqrt{3}$	$\sqrt{3}$	$\sqrt{3}$	$- \sqrt{3}$	$- \sqrt{3}$	$- \sqrt{3}$	$- \sqrt{3}$	$- \sqrt{3}$	$- \sqrt{3}$	-2	2	2	-2	-2	2	0	0	0	0	0	0	0	1	-1	$- \sqrt{3}$	$\sqrt{3}$	-1	1	$- \sqrt{3}$	$\sqrt{3}$	1	-1	$\sqrt{3}$	$- \sqrt{3}$	0	0	0	0	0	0	0	0
χ₃₂	2	-2	-1	0	1	$\sqrt{3}$	$- \sqrt{3}$	2	2	-2	-2	2	2	-2	-2	-1	-1	-1	-1	-1	-1	0	0	0	0	0	0	1	1	1	1	1	1	$\sqrt{3}$	$\sqrt{3}$	$\sqrt{3}$	$\sqrt{3}$	$\sqrt{3}$	$\sqrt{3}$	$- \sqrt{3}$	$- \sqrt{3}$	$- \sqrt{3}$	$- \sqrt{3}$	$- \sqrt{3}$	$- \sqrt{3}$	-2	2	-2	2	2	-2	0	0	0	0	0	0	0	1	-1	$- \sqrt{3}$	$\sqrt{3}$	1	-1	$\sqrt{3}$	$- \sqrt{3}$	-1	1	$- \sqrt{3}$	$\sqrt{3}$	0	0	0	0	0	0	0	0
χ₃₃	2	-2	-1	0	1	$- \sqrt{3}$	$\sqrt{3}$	2	2	-2	-2	2	2	-2	-2	-1	-1	-1	-1	-1	-1	0	0	0	0	0	0	1	1	1	1	1	1	$- \sqrt{3}$	$- \sqrt{3}$	$- \sqrt{3}$	$- \sqrt{3}$	$- \sqrt{3}$	$- \sqrt{3}$	$\sqrt{3}$	$\sqrt{3}$	$\sqrt{3}$	$\sqrt{3}$	$\sqrt{3}$	$\sqrt{3}$	2	-2	$2 i$	$- 2 i$	$2 i$	$- 2 i$	0	0	0	0	0	0	0	-1	1	$- \sqrt{3}$	$\sqrt{3}$	$- i$	$i$	$i \sqrt{3}$	$- i \sqrt{3}$	$- i$	$i$	$i \sqrt{3}$	$- i \sqrt{3}$	0	0	0	0	0	0	0	0
χ₃₄	2	-2	-1	0	1	$- \sqrt{3}$	$\sqrt{3}$	2	2	-2	-2	2	2	-2	-2	-1	-1	-1	-1	-1	-1	0	0	0	0	0	0	1	1	1	1	1	1	$- \sqrt{3}$	$- \sqrt{3}$	$- \sqrt{3}$	$- \sqrt{3}$	$- \sqrt{3}$	$- \sqrt{3}$	$\sqrt{3}$	$\sqrt{3}$	$\sqrt{3}$	$\sqrt{3}$	$\sqrt{3}$	$\sqrt{3}$	2	-2	$- 2 i$	$2 i$	$- 2 i$	$2 i$	0	0	0	0	0	0	0	-1	1	$- \sqrt{3}$	$\sqrt{3}$	$i$	$- i$	$- i \sqrt{3}$	$i \sqrt{3}$	$i$	$- i$	$- i \sqrt{3}$	$i \sqrt{3}$	0	0	0	0	0	0	0	0
χ₃₅	2	-2	-1	0	1	$- \sqrt{3}$	$\sqrt{3}$	2	2	-2	-2	2	2	-2	-2	-1	-1	-1	-1	-1	-1	0	0	0	0	0	0	1	1	1	1	1	1	$- \sqrt{3}$	$- \sqrt{3}$	$- \sqrt{3}$	$- \sqrt{3}$	$- \sqrt{3}$	$- \sqrt{3}$	$\sqrt{3}$	$\sqrt{3}$	$\sqrt{3}$	$\sqrt{3}$	$\sqrt{3}$	$\sqrt{3}$	-2	2	2	-2	-2	2	0	0	0	0	0	0	0	1	-1	$\sqrt{3}$	$- \sqrt{3}$	-1	1	$\sqrt{3}$	$- \sqrt{3}$	1	-1	$- \sqrt{3}$	$\sqrt{3}$	0	0	0	0	0	0	0	0
χ₃₆	2	-2	-1	0	1	$- \sqrt{3}$	$\sqrt{3}$	2	2	-2	-2	2	2	-2	-2	-1	-1	-1	-1	-1	-1	0	0	0	0	0	0	1	1	1	1	1	1	$- \sqrt{3}$	$- \sqrt{3}$	$- \sqrt{3}$	$- \sqrt{3}$	$- \sqrt{3}$	$- \sqrt{3}$	$\sqrt{3}$	$\sqrt{3}$	$\sqrt{3}$	$\sqrt{3}$	$\sqrt{3}$	$\sqrt{3}$	-2	2	-2	2	2	-2	0	0	0	0	0	0	0	1	-1	$\sqrt{3}$	$- \sqrt{3}$	1	-1	$- \sqrt{3}$	$\sqrt{3}$	-1	1	$\sqrt{3}$	$- \sqrt{3}$	0	0	0	0	0	0	0	0
χ₃₇	4	4	4	4	4	4	4	4	-1	4	-1	-1	-1	-1	-1	4	-1	-1	-1	-1	-1	4	-1	-1	-1	-1	-1	4	-1	-1	-1	-1	-1	4	-1	-1	-1	-1	-1	4	-1	-1	-1	-1	-1	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	-1	-1	0	0	0	0
χ₃₈	4	4	4	4	4	4	4	4	-1	4	-1	-1	-1	-1	-1	4	-1	-1	-1	-1	-1	4	-1	-1	-1	-1	-1	4	-1	-1	-1	-1	-1	4	-1	-1	-1	-1	-1	4	-1	-1	-1	-1	-1	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	1	1	0	0	0	0
χ₃₉	4	4	4	4	4	4	4	-1	4	-1	4	-1	-1	-1	-1	-1	4	-1	-1	-1	-1	-1	4	-1	-1	-1	-1	-1	4	-1	-1	-1	-1	-1	4	-1	-1	-1	-1	-1	4	-1	-1	-1	-1	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	-1	-1	0	0	0	0	0	0
χ₄₀	4	4	4	4	4	4	4	-1	4	-1	4	-1	-1	-1	-1	-1	4	-1	-1	-1	-1	-1	4	-1	-1	-1	-1	-1	4	-1	-1	-1	-1	-1	4	-1	-1	-1	-1	-1	4	-1	-1	-1	-1	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	1	1	0	0	0	0	0	0
χ₄₁	4	4	4	-4	4	-4	-4	4	-1	4	-1	-1	-1	-1	-1	4	-1	-1	-1	-1	-1	-4	1	1	1	1	1	4	-1	-1	-1	-1	-1	-4	1	1	1	1	1	-4	1	1	1	1	1	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	-1	1	0	0	0	0
χ₄₂	4	4	4	-4	4	-4	-4	4	-1	4	-1	-1	-1	-1	-1	4	-1	-1	-1	-1	-1	-4	1	1	1	1	1	4	-1	-1	-1	-1	-1	-4	1	1	1	1	1	-4	1	1	1	1	1	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	1	-1	0	0	0	0
χ₄₃	4	4	4	-4	4	-4	-4	-1	4	-1	4	-1	-1	-1	-1	-1	4	-1	-1	-1	-1	1	-4	1	1	1	1	-1	4	-1	-1	-1	-1	1	-4	1	1	1	1	1	-4	1	1	1	1	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	-1	1	0	0	0	0	0	0
χ₄₄	4	4	4	-4	4	-4	-4	-1	4	-1	4	-1	-1	-1	-1	-1	4	-1	-1	-1	-1	1	-4	1	1	1	1	-1	4	-1	-1	-1	-1	1	-4	1	1	1	1	1	-4	1	1	1	1	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	1	-1	0	0	0	0	0	0
χ₄₅	8	8	8	8	8	8	8	-2	-2	-2	-2	3	-2	3	-2	-2	-2	3	3	-2	-2	-2	-2	3	3	-2	-2	-2	-2	3	3	-2	-2	-2	-2	3	3	-2	-2	-2	-2	3	3	-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
χ₄₆	8	8	8	8	8	8	8	-2	-2	-2	-2	-2	3	-2	3	-2	-2	-2	-2	3	3	-2	-2	-2	-2	3	3	-2	-2	-2	-2	3	3	-2	-2	-2	-2	3	3	-2	-2	-2	-2	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	0	0	0	0	0
χ₄₇	8	8	8	-8	8	-8	-8	-2	-2	-2	-2	3	-2	3	-2	-2	-2	3	3	-2	-2	2	2	-3	-3	2	2	-2	-2	3	3	-2	-2	2	2	-3	-3	2	2	2	2	-3	-3	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
χ₄₈	8	8	8	-8	8	-8	-8	-2	-2	-2	-2	-2	3	-2	3	-2	-2	-2	-2	3	3	2	2	2	2	-3	-3	-2	-2	-2	-2	3	3	2	2	2	2	-3	-3	2	2	2	2	-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	0	0	0	0	0
χ₄₉	8	8	-4	8	-4	-4	-4	8	-2	8	-2	-2	-2	-2	-2	-4	1	1	1	1	1	8	-2	-2	-2	-2	-2	-4	1	1	1	1	1	-4	1	1	1	1	1	-4	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	0	0	0	0	0
χ₅₀	8	8	-4	8	-4	-4	-4	-2	8	-2	8	-2	-2	-2	-2	1	-4	1	1	1	1	-2	8	-2	-2	-2	-2	1	-4	1	1	1	1	1	-4	1	1	1	1	1	-4	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	0	0	0	0	0
χ₅₁	8	8	-4	8	-4	-4	-4	-2	-2	-2	-2	3	-2	3	-2	1	1	$\frac{- 3 - i \sqrt{15}}{2}$	$\frac{- 3 + i \sqrt{15}}{2}$	$1 - i \sqrt{15}$	$1 + i \sqrt{15}$	-2	-2	3	3	-2	-2	1	1	$\frac{- 3 - i \sqrt{15}}{2}$	$\frac{- 3 + i \sqrt{15}}{2}$	$1 - i \sqrt{15}$	$1 + i \sqrt{15}$	1	1	$\frac{- 3 - i \sqrt{15}}{2}$	$\frac{- 3 + i \sqrt{15}}{2}$	$1 - i \sqrt{15}$	$1 + i \sqrt{15}$	1	1	$\frac{- 3 - i \sqrt{15}}{2}$	$\frac{- 3 + i \sqrt{15}}{2}$	$1 - i \sqrt{15}$	$1 + i \sqrt{15}$	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	0	0	0	0	0
χ₅₂	8	8	-4	8	-4	-4	-4	-2	-2	-2	-2	3	-2	3	-2	1	1	$\frac{- 3 + i \sqrt{15}}{2}$	$\frac{- 3 - i \sqrt{15}}{2}$	$1 + i \sqrt{15}$	$1 - i \sqrt{15}$	-2	-2	3	3	-2	-2	1	1	$\frac{- 3 + i \sqrt{15}}{2}$	$\frac{- 3 - i \sqrt{15}}{2}$	$1 + i \sqrt{15}$	$1 - i \sqrt{15}$	1	1	$\frac{- 3 + i \sqrt{15}}{2}$	$\frac{- 3 - i \sqrt{15}}{2}$	$1 + i \sqrt{15}$	$1 - i \sqrt{15}$	1	1	$\frac{- 3 + i \sqrt{15}}{2}$	$\frac{- 3 - i \sqrt{15}}{2}$	$1 + i \sqrt{15}$	$1 - i \sqrt{15}$	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	0	0	0	0	0
χ₅₃	8	8	-4	8	-4	-4	-4	-2	-2	-2	-2	-2	3	-2	3	1	1	$1 - i \sqrt{15}$	$1 + i \sqrt{15}$	$\frac{- 3 + i \sqrt{15}}{2}$	$\frac{- 3 - i \sqrt{15}}{2}$	-2	-2	-2	-2	3	3	1	1	$1 - i \sqrt{15}$	$1 + i \sqrt{15}$	$\frac{- 3 + i \sqrt{15}}{2}$	$\frac{- 3 - i \sqrt{15}}{2}$	1	1	$1 - i \sqrt{15}$	$1 + i \sqrt{15}$	$\frac{- 3 + i \sqrt{15}}{2}$	$\frac{- 3 - i \sqrt{15}}{2}$	1	1	$1 - i \sqrt{15}$	$1 + i \sqrt{15}$	$\frac{- 3 + i \sqrt{15}}{2}$	$\frac{- 3 - i \sqrt{15}}{2}$	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
χ₅₄	8	8	-4	8	-4	-4	-4	-2	-2	-2	-2	-2	3	-2	3	1	1	$1 + i \sqrt{15}$	$1 - i \sqrt{15}$	$\frac{- 3 - i \sqrt{15}}{2}$	$\frac{- 3 + i \sqrt{15}}{2}$	-2	-2	-2	-2	3	3	1	1	$1 + i \sqrt{15}$	$1 - i \sqrt{15}$	$\frac{- 3 - i \sqrt{15}}{2}$	$\frac{- 3 + i \sqrt{15}}{2}$	1	1	$1 + i \sqrt{15}$	$1 - i \sqrt{15}$	$\frac{- 3 - i \sqrt{15}}{2}$	$\frac{- 3 + i \sqrt{15}}{2}$	1	1	$1 + i \sqrt{15}$	$1 - i \sqrt{15}$	$\frac{- 3 - i \sqrt{15}}{2}$	$\frac{- 3 + i \sqrt{15}}{2}$	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
χ₅₅	8	8	-4	-8	-4	4	4	8	-2	8	-2	-2	-2	-2	-2	-4	1	1	1	1	1	-8	2	2	2	2	2	-4	1	1	1	1	1	4	-1	-1	-1	-1	-1	4	-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	0	0	0	0	0
χ₅₆	8	8	-4	-8	-4	4	4	-2	8	-2	8	-2	-2	-2	-2	1	-4	1	1	1	1	2	-8	2	2	2	2	1	-4	1	1	1	1	-1	4	-1	-1	-1	-1	-1	4	-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	0	0	0	0	0
χ₅₇	8	8	-4	-8	-4	4	4	-2	-2	-2	-2	3	-2	3	-2	1	1	$\frac{- 3 - i \sqrt{15}}{2}$	$\frac{- 3 + i \sqrt{15}}{2}$	$1 - i \sqrt{15}$	$1 + i \sqrt{15}$	2	2	-3	-3	2	2	1	1	$\frac{- 3 - i \sqrt{15}}{2}$	$\frac{- 3 + i \sqrt{15}}{2}$	$1 - i \sqrt{15}$	$1 + i \sqrt{15}$	-1	-1	$\frac{3 + i \sqrt{15}}{2}$	$\frac{3 - i \sqrt{15}}{2}$	$- 1 + i \sqrt{15}$	$- 1 - i \sqrt{15}$	-1	-1	$\frac{3 + i \sqrt{15}}{2}$	$\frac{3 - i \sqrt{15}}{2}$	$- 1 + i \sqrt{15}$	$- 1 - i \sqrt{15}$	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	0	0	0	0	0
χ₅₈	8	8	-4	-8	-4	4	4	-2	-2	-2	-2	3	-2	3	-2	1	1	$\frac{- 3 + i \sqrt{15}}{2}$	$\frac{- 3 - i \sqrt{15}}{2}$	$1 + i \sqrt{15}$	$1 - i \sqrt{15}$	2	2	-3	-3	2	2	1	1	$\frac{- 3 + i \sqrt{15}}{2}$	$\frac{- 3 - i \sqrt{15}}{2}$	$1 + i \sqrt{15}$	$1 - i \sqrt{15}$	-1	-1	$\frac{3 - i \sqrt{15}}{2}$	$\frac{3 + i \sqrt{15}}{2}$	$- 1 - i \sqrt{15}$	$- 1 + i \sqrt{15}$	-1	-1	$\frac{3 - i \sqrt{15}}{2}$	$\frac{3 + i \sqrt{15}}{2}$	$- 1 - i \sqrt{15}$	$- 1 + i \sqrt{15}$	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	0	0	0	0	0
χ₅₉	8	8	-4	-8	-4	4	4	-2	-2	-2	-2	-2	3	-2	3	1	1	$1 - i \sqrt{15}$	$1 + i \sqrt{15}$	$\frac{- 3 + i \sqrt{15}}{2}$	$\frac{- 3 - i \sqrt{15}}{2}$	2	2	2	2	-3	-3	1	1	$1 - i \sqrt{15}$	$1 + i \sqrt{15}$	$\frac{- 3 + i \sqrt{15}}{2}$	$\frac{- 3 - i \sqrt{15}}{2}$	-1	-1	$- 1 + i \sqrt{15}$	$- 1 - i \sqrt{15}$	$\frac{3 - i \sqrt{15}}{2}$	$\frac{3 + i \sqrt{15}}{2}$	-1	-1	$- 1 + i \sqrt{15}$	$- 1 - i \sqrt{15}$	$\frac{3 - i \sqrt{15}}{2}$	$\frac{3 + i \sqrt{15}}{2}$	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
χ₆₀	8	8	-4	-8	-4	4	4	-2	-2	-2	-2	-2	3	-2	3	1	1	$1 + i \sqrt{15}$	$1 - i \sqrt{15}$	$\frac{- 3 - i \sqrt{15}}{2}$	$\frac{- 3 + i \sqrt{15}}{2}$	2	2	2	2	-3	-3	1	1	$1 + i \sqrt{15}$	$1 - i \sqrt{15}$	$\frac{- 3 - i \sqrt{15}}{2}$	$\frac{- 3 + i \sqrt{15}}{2}$	-1	-1	$- 1 - i \sqrt{15}$	$- 1 + i \sqrt{15}$	$\frac{3 + i \sqrt{15}}{2}$	$\frac{3 - i \sqrt{15}}{2}$	-1	-1	$- 1 - i \sqrt{15}$	$- 1 + i \sqrt{15}$	$\frac{3 + i \sqrt{15}}{2}$	$\frac{3 - i \sqrt{15}}{2}$	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
χ₆₁	8	-8	8	0	-8	0	0	8	-2	-8	2	-2	-2	2	2	8	-2	-2	-2	-2	-2	0	0	0	0	0	0	-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	0	0	0	0	0
χ₆₂	8	-8	8	0	-8	0	0	-2	8	2	-8	-2	-2	2	2	-2	8	-2	-2	-2	-2	0	0	0	0	0	0	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	0	0	0	0	0
χ₆₃	8	-8	8	0	-8	0	0	-2	-2	2	2	3	-2	-3	2	-2	-2	3	3	-2	-2	0	0	$- i \sqrt{5}$	$i \sqrt{5}$	$- 2 i \sqrt{5}$	$2 i \sqrt{5}$	2	2	-3	-3	2	2	0	0	$- i \sqrt{5}$	$i \sqrt{5}$	$- 2 i \sqrt{5}$	$2 i \sqrt{5}$	0	0	$i \sqrt{5}$	$- i \sqrt{5}$	$2 i \sqrt{5}$	$- 2 i \sqrt{5}$	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	0	0	0	0	0
χ₆₄	8	-8	8	0	-8	0	0	-2	-2	2	2	3	-2	-3	2	-2	-2	3	3	-2	-2	0	0	$i \sqrt{5}$	$- i \sqrt{5}$	$2 i \sqrt{5}$	$- 2 i \sqrt{5}$	2	2	-3	-3	2	2	0	0	$i \sqrt{5}$	$- i \sqrt{5}$	$2 i \sqrt{5}$	$- 2 i \sqrt{5}$	0	0	$- i \sqrt{5}$	$i \sqrt{5}$	$- 2 i \sqrt{5}$	$2 i \sqrt{5}$	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	0	0	0	0	0
χ₆₅	8	-8	8	0	-8	0	0	-2	-2	2	2	-2	3	2	-3	-2	-2	-2	-2	3	3	0	0	$- 2 i \sqrt{5}$	$2 i \sqrt{5}$	$i \sqrt{5}$	$- i \sqrt{5}$	2	2	2	2	-3	-3	0	0	$- 2 i \sqrt{5}$	$2 i \sqrt{5}$	$i \sqrt{5}$	$- i \sqrt{5}$	0	0	$2 i \sqrt{5}$	$- 2 i \sqrt{5}$	$- i \sqrt{5}$	$i \sqrt{5}$	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	0	0	0	0	0
χ₆₆	8	-8	8	0	-8	0	0	-2	-2	2	2	-2	3	2	-3	-2	-2	-2	-2	3	3	0	0	$2 i \sqrt{5}$	$- 2 i \sqrt{5}$	$- i \sqrt{5}$	$i \sqrt{5}$	2	2	2	2	-3	-3	0	0	$2 i \sqrt{5}$	$- 2 i \sqrt{5}$	$- i \sqrt{5}$	$i \sqrt{5}$	0	0	$- 2 i \sqrt{5}$	$2 i \sqrt{5}$	$i \sqrt{5}$	$- i \sqrt{5}$	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	0	0	0	0	0
χ₆₇	8	-8	-4	0	4	$4 \sqrt{3}$	$- 4 \sqrt{3}$	8	-2	-8	2	-2	-2	2	2	-4	1	1	1	1	1	0	0	0	0	0	0	4	-1	-1	-1	-1	-1	$4 \sqrt{3}$	$- \sqrt{3}$	$- \sqrt{3}$	$- \sqrt{3}$	$- \sqrt{3}$	$- \sqrt{3}$	$- 4 \sqrt{3}$	$\sqrt{3}$	$\sqrt{3}$	$\sqrt{3}$	$\sqrt{3}$	$\sqrt{3}$	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
χ₆₈	8	-8	-4	0	4	$4 \sqrt{3}$	$- 4 \sqrt{3}$	-2	8	2	-8	-2	-2	2	2	1	-4	1	1	1	1	0	0	0	0	0	0	-1	4	-1	-1	-1	-1	$- \sqrt{3}$	$4 \sqrt{3}$	$- \sqrt{3}$	$- \sqrt{3}$	$- \sqrt{3}$	$- \sqrt{3}$	$\sqrt{3}$	$- 4 \sqrt{3}$	$\sqrt{3}$	$\sqrt{3}$	$\sqrt{3}$	$\sqrt{3}$	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
χ₆₉	8	-8	-4	0	4	$4 \sqrt{3}$	$- 4 \sqrt{3}$	-2	-2	2	2	3	-2	-3	2	1	1	$\frac{- 3 - i \sqrt{15}}{2}$	$\frac{- 3 + i \sqrt{15}}{2}$	$1 - i \sqrt{15}$	$1 + i \sqrt{15}$	0	0	$i \sqrt{5}$	$- i \sqrt{5}$	$2 i \sqrt{5}$	$- 2 i \sqrt{5}$	-1	-1	$\frac{3 + i \sqrt{15}}{2}$	$\frac{3 - i \sqrt{15}}{2}$	$- 1 + i \sqrt{15}$	$- 1 - i \sqrt{15}$	$- \sqrt{3}$	$- \sqrt{3}$	−ζ⁷+ζ¹¹−2ζ¹⁹+2ζ²³−2ζ³¹−ζ⁴³+2ζ⁴⁷+ζ⁵⁹	−2ζ⁷+2ζ¹¹−ζ¹⁹+ζ²³−ζ³¹−2ζ⁴³+ζ⁴⁷+2ζ⁵⁹	2ζ⁷−2ζ¹¹+2ζ⁴³−2ζ⁵⁹	2ζ¹⁹−2ζ²³+2ζ³¹−2ζ⁴⁷	$\sqrt{3}$	$\sqrt{3}$	ζ⁷−ζ¹¹+2ζ¹⁹−2ζ²³+2ζ³¹+ζ⁴³−2ζ⁴⁷−ζ⁵⁹	2ζ⁷−2ζ¹¹+ζ¹⁹−ζ²³+ζ³¹+2ζ⁴³−ζ⁴⁷−2ζ⁵⁹	−2ζ⁷+2ζ¹¹−2ζ⁴³+2ζ⁵⁹	−2ζ¹⁹+2ζ²³−2ζ³¹+2ζ⁴⁷	0	0	0	0	0	0	0	0	0	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	-4	0	4	$4 \sqrt{3}$	$- 4 \sqrt{3}$	-2	-2	2	2	3	-2	-3	2	1	1	$\frac{- 3 + i \sqrt{15}}{2}$	$\frac{- 3 - i \sqrt{15}}{2}$	$1 + i \sqrt{15}$	$1 - i \sqrt{15}$	0	0	$- i \sqrt{5}$	$i \sqrt{5}$	$- 2 i \sqrt{5}$	$2 i \sqrt{5}$	-1	-1	$\frac{3 - i \sqrt{15}}{2}$	$\frac{3 + i \sqrt{15}}{2}$	$- 1 - i \sqrt{15}$	$- 1 + i \sqrt{15}$	$- \sqrt{3}$	$- \sqrt{3}$	−2ζ⁷+2ζ¹¹−ζ¹⁹+ζ²³−ζ³¹−2ζ⁴³+ζ⁴⁷+2ζ⁵⁹	−ζ⁷+ζ¹¹−2ζ¹⁹+2ζ²³−2ζ³¹−ζ⁴³+2ζ⁴⁷+ζ⁵⁹	2ζ¹⁹−2ζ²³+2ζ³¹−2ζ⁴⁷	2ζ⁷−2ζ¹¹+2ζ⁴³−2ζ⁵⁹	$\sqrt{3}$	$\sqrt{3}$	2ζ⁷−2ζ¹¹+ζ¹⁹−ζ²³+ζ³¹+2ζ⁴³−ζ⁴⁷−2ζ⁵⁹	ζ⁷−ζ¹¹+2ζ¹⁹−2ζ²³+2ζ³¹+ζ⁴³−2ζ⁴⁷−ζ⁵⁹	−2ζ¹⁹+2ζ²³−2ζ³¹+2ζ⁴⁷	−2ζ⁷+2ζ¹¹−2ζ⁴³+2ζ⁵⁹	0	0	0	0	0	0	0	0	0	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	-4	0	4	$4 \sqrt{3}$	$- 4 \sqrt{3}$	-2	-2	2	2	-2	3	2	-3	1	1	$1 - i \sqrt{15}$	$1 + i \sqrt{15}$	$\frac{- 3 + i \sqrt{15}}{2}$	$\frac{- 3 - i \sqrt{15}}{2}$	0	0	$2 i \sqrt{5}$	$- 2 i \sqrt{5}$	$- i \sqrt{5}$	$i \sqrt{5}$	-1	-1	$- 1 + i \sqrt{15}$	$- 1 - i \sqrt{15}$	$\frac{3 - i \sqrt{15}}{2}$	$\frac{3 + i \sqrt{15}}{2}$	$- \sqrt{3}$	$- \sqrt{3}$	2ζ⁷−2ζ¹¹+2ζ⁴³−2ζ⁵⁹	2ζ¹⁹−2ζ²³+2ζ³¹−2ζ⁴⁷	−2ζ⁷+2ζ¹¹−ζ¹⁹+ζ²³−ζ³¹−2ζ⁴³+ζ⁴⁷+2ζ⁵⁹	−ζ⁷+ζ¹¹−2ζ¹⁹+2ζ²³−2ζ³¹−ζ⁴³+2ζ⁴⁷+ζ⁵⁹	$\sqrt{3}$	$\sqrt{3}$	−2ζ⁷+2ζ¹¹−2ζ⁴³+2ζ⁵⁹	−2ζ¹⁹+2ζ²³−2ζ³¹+2ζ⁴⁷	2ζ⁷−2ζ¹¹+ζ¹⁹−ζ²³+ζ³¹+2ζ⁴³−ζ⁴⁷−2ζ⁵⁹	ζ⁷−ζ¹¹+2ζ¹⁹−2ζ²³+2ζ³¹+ζ⁴³−2ζ⁴⁷−ζ⁵⁹	0	0	0	0	0	0	0	0	0	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	-4	0	4	$4 \sqrt{3}$	$- 4 \sqrt{3}$	-2	-2	2	2	-2	3	2	-3	1	1	$1 + i \sqrt{15}$	$1 - i \sqrt{15}$	$\frac{- 3 - i \sqrt{15}}{2}$	$\frac{- 3 + i \sqrt{15}}{2}$	0	0	$- 2 i \sqrt{5}$	$2 i \sqrt{5}$	$i \sqrt{5}$	$- i \sqrt{5}$	-1	-1	$- 1 - i \sqrt{15}$	$- 1 + i \sqrt{15}$	$\frac{3 + i \sqrt{15}}{2}$	$\frac{3 - i \sqrt{15}}{2}$	$- \sqrt{3}$	$- \sqrt{3}$	2ζ¹⁹−2ζ²³+2ζ³¹−2ζ⁴⁷	2ζ⁷−2ζ¹¹+2ζ⁴³−2ζ⁵⁹	−ζ⁷+ζ¹¹−2ζ¹⁹+2ζ²³−2ζ³¹−ζ⁴³+2ζ⁴⁷+ζ⁵⁹	−2ζ⁷+2ζ¹¹−ζ¹⁹+ζ²³−ζ³¹−2ζ⁴³+ζ⁴⁷+2ζ⁵⁹	$\sqrt{3}$	$\sqrt{3}$	−2ζ¹⁹+2ζ²³−2ζ³¹+2ζ⁴⁷	−2ζ⁷+2ζ¹¹−2ζ⁴³+2ζ⁵⁹	ζ⁷−ζ¹¹+2ζ¹⁹−2ζ²³+2ζ³¹+ζ⁴³−2ζ⁴⁷−ζ⁵⁹	2ζ⁷−2ζ¹¹+ζ¹⁹−ζ²³+ζ³¹+2ζ⁴³−ζ⁴⁷−2ζ⁵⁹	0	0	0	0	0	0	0	0	0	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	8	-8	-4	0	4	$- 4 \sqrt{3}$	$4 \sqrt{3}$	8	-2	-8	2	-2	-2	2	2	-4	1	1	1	1	1	0	0	0	0	0	0	4	-1	-1	-1	-1	-1	$- 4 \sqrt{3}$	$\sqrt{3}$	$\sqrt{3}$	$\sqrt{3}$	$\sqrt{3}$	$\sqrt{3}$	$4 \sqrt{3}$	$- \sqrt{3}$	$- \sqrt{3}$	$- \sqrt{3}$	$- \sqrt{3}$	$- \sqrt{3}$	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
χ₇₄	8	-8	-4	0	4	$- 4 \sqrt{3}$	$4 \sqrt{3}$	-2	8	2	-8	-2	-2	2	2	1	-4	1	1	1	1	0	0	0	0	0	0	-1	4	-1	-1	-1	-1	$\sqrt{3}$	$- 4 \sqrt{3}$	$\sqrt{3}$	$\sqrt{3}$	$\sqrt{3}$	$\sqrt{3}$	$- \sqrt{3}$	$4 \sqrt{3}$	$- \sqrt{3}$	$- \sqrt{3}$	$- \sqrt{3}$	$- \sqrt{3}$	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
χ₇₅	8	-8	-4	0	4	$- 4 \sqrt{3}$	$4 \sqrt{3}$	-2	-2	2	2	3	-2	-3	2	1	1	$\frac{- 3 - i \sqrt{15}}{2}$	$\frac{- 3 + i \sqrt{15}}{2}$	$1 - i \sqrt{15}$	$1 + i \sqrt{15}$	0	0	$- i \sqrt{5}$	$i \sqrt{5}$	$- 2 i \sqrt{5}$	$2 i \sqrt{5}$	-1	-1	$\frac{3 + i \sqrt{15}}{2}$	$\frac{3 - i \sqrt{15}}{2}$	$- 1 + i \sqrt{15}$	$- 1 - i \sqrt{15}$	$\sqrt{3}$	$\sqrt{3}$	ζ⁷−ζ¹¹+2ζ¹⁹−2ζ²³+2ζ³¹+ζ⁴³−2ζ⁴⁷−ζ⁵⁹	2ζ⁷−2ζ¹¹+ζ¹⁹−ζ²³+ζ³¹+2ζ⁴³−ζ⁴⁷−2ζ⁵⁹	−2ζ⁷+2ζ¹¹−2ζ⁴³+2ζ⁵⁹	−2ζ¹⁹+2ζ²³−2ζ³¹+2ζ⁴⁷	$- \sqrt{3}$	$- \sqrt{3}$	−ζ⁷+ζ¹¹−2ζ¹⁹+2ζ²³−2ζ³¹−ζ⁴³+2ζ⁴⁷+ζ⁵⁹	−2ζ⁷+2ζ¹¹−ζ¹⁹+ζ²³−ζ³¹−2ζ⁴³+ζ⁴⁷+2ζ⁵⁹	2ζ⁷−2ζ¹¹+2ζ⁴³−2ζ⁵⁹	2ζ¹⁹−2ζ²³+2ζ³¹−2ζ⁴⁷	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₇₆	8	-8	-4	0	4	$- 4 \sqrt{3}$	$4 \sqrt{3}$	-2	-2	2	2	3	-2	-3	2	1	1	$\frac{- 3 + i \sqrt{15}}{2}$	$\frac{- 3 - i \sqrt{15}}{2}$	$1 + i \sqrt{15}$	$1 - i \sqrt{15}$	0	0	$i \sqrt{5}$	$- i \sqrt{5}$	$2 i \sqrt{5}$	$- 2 i \sqrt{5}$	-1	-1	$\frac{3 - i \sqrt{15}}{2}$	$\frac{3 + i \sqrt{15}}{2}$	$- 1 - i \sqrt{15}$	$- 1 + i \sqrt{15}$	$\sqrt{3}$	$\sqrt{3}$	2ζ⁷−2ζ¹¹+ζ¹⁹−ζ²³+ζ³¹+2ζ⁴³−ζ⁴⁷−2ζ⁵⁹	ζ⁷−ζ¹¹+2ζ¹⁹−2ζ²³+2ζ³¹+ζ⁴³−2ζ⁴⁷−ζ⁵⁹	−2ζ¹⁹+2ζ²³−2ζ³¹+2ζ⁴⁷	−2ζ⁷+2ζ¹¹−2ζ⁴³+2ζ⁵⁹	$- \sqrt{3}$	$- \sqrt{3}$	−2ζ⁷+2ζ¹¹−ζ¹⁹+ζ²³−ζ³¹−2ζ⁴³+ζ⁴⁷+2ζ⁵⁹	−ζ⁷+ζ¹¹−2ζ¹⁹+2ζ²³−2ζ³¹−ζ⁴³+2ζ⁴⁷+ζ⁵⁹	2ζ¹⁹−2ζ²³+2ζ³¹−2ζ⁴⁷	2ζ⁷−2ζ¹¹+2ζ⁴³−2ζ⁵⁹	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₇₇	8	-8	-4	0	4	$- 4 \sqrt{3}$	$4 \sqrt{3}$	-2	-2	2	2	-2	3	2	-3	1	1	$1 - i \sqrt{15}$	$1 + i \sqrt{15}$	$\frac{- 3 + i \sqrt{15}}{2}$	$\frac{- 3 - i \sqrt{15}}{2}$	0	0	$- 2 i \sqrt{5}$	$2 i \sqrt{5}$	$i \sqrt{5}$	$- i \sqrt{5}$	-1	-1	$- 1 + i \sqrt{15}$	$- 1 - i \sqrt{15}$	$\frac{3 - i \sqrt{15}}{2}$	$\frac{3 + i \sqrt{15}}{2}$	$\sqrt{3}$	$\sqrt{3}$	−2ζ⁷+2ζ¹¹−2ζ⁴³+2ζ⁵⁹	−2ζ¹⁹+2ζ²³−2ζ³¹+2ζ⁴⁷	2ζ⁷−2ζ¹¹+ζ¹⁹−ζ²³+ζ³¹+2ζ⁴³−ζ⁴⁷−2ζ⁵⁹	ζ⁷−ζ¹¹+2ζ¹⁹−2ζ²³+2ζ³¹+ζ⁴³−2ζ⁴⁷−ζ⁵⁹	$- \sqrt{3}$	$- \sqrt{3}$	2ζ⁷−2ζ¹¹+2ζ⁴³−2ζ⁵⁹	2ζ¹⁹−2ζ²³+2ζ³¹−2ζ⁴⁷	−2ζ⁷+2ζ¹¹−ζ¹⁹+ζ²³−ζ³¹−2ζ⁴³+ζ⁴⁷+2ζ⁵⁹	−ζ⁷+ζ¹¹−2ζ¹⁹+2ζ²³−2ζ³¹−ζ⁴³+2ζ⁴⁷+ζ⁵⁹	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₇₈	8	-8	-4	0	4	$- 4 \sqrt{3}$	$4 \sqrt{3}$	-2	-2	2	2	-2	3	2	-3	1	1	$1 + i \sqrt{15}$	$1 - i \sqrt{15}$	$\frac{- 3 - i \sqrt{15}}{2}$	$\frac{- 3 + i \sqrt{15}}{2}$	0	0	$2 i \sqrt{5}$	$- 2 i \sqrt{5}$	$- i \sqrt{5}$	$i \sqrt{5}$	-1	-1	$- 1 - i \sqrt{15}$	$- 1 + i \sqrt{15}$	$\frac{3 + i \sqrt{15}}{2}$	$\frac{3 - i \sqrt{15}}{2}$	$\sqrt{3}$	$\sqrt{3}$	−2ζ¹⁹+2ζ²³−2ζ³¹+2ζ⁴⁷	−2ζ⁷+2ζ¹¹−2ζ⁴³+2ζ⁵⁹	ζ⁷−ζ¹¹+2ζ¹⁹−2ζ²³+2ζ³¹+ζ⁴³−2ζ⁴⁷−ζ⁵⁹	2ζ⁷−2ζ¹¹+ζ¹⁹−ζ²³+ζ³¹+2ζ⁴³−ζ⁴⁷−2ζ⁵⁹	$- \sqrt{3}$	$- \sqrt{3}$	2ζ¹⁹−2ζ²³+2ζ³¹−2ζ⁴⁷	2ζ⁷−2ζ¹¹+2ζ⁴³−2ζ⁵⁹	−ζ⁷+ζ¹¹−2ζ¹⁹+2ζ²³−2ζ³¹−ζ⁴³+2ζ⁴⁷+ζ⁵⁹	−2ζ⁷+2ζ¹¹−ζ¹⁹+ζ²³−ζ³¹−2ζ⁴³+ζ⁴⁷+2ζ⁵⁹	0	0	0	0	0	0	0	0	0	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 #72230952