Group #14315906 — 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
size	1	1	2	2	2	4	4	4	4	8	8	8	8	8	8	8	8	8	10	10	10	10	16	16	16	20	20	20	20	20	20	20	20	20	20	24	24	24	24	24	24	32	32	32	40	40	40	40	40	40	40	40	40	40	40	40	96	120	120	120	120	120	120
order	1	2	3	4	6	5	8	10	12	2	6	6	15	20	24	30	40	40	2	4	12	12	60	120	120	4	4	6	8	8	8	24	24	24	24	2	16	80	80	80	80	10	30	30	4	8	8	12	12	12	12	24	24	24	24	24	10	2	4	4	16	16	16
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
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
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
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
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	$i$	$- i$	-1	$i$	$- i$	-1	$i$	$i$	$- i$	$- i$	1	1	1	1	1	1	1	1	1	-1	$i$	$- i$	-1	-1	$i$	$- i$	-1	$i$	$i$	$- i$	$- i$	1	-1	$i$	$- i$	-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	$i$	$- i$	-1	$i$	$- i$	-1	$i$	$i$	$- i$	$- i$	-1	-1	-1	-1	-1	-1	1	1	1	-1	$i$	$- i$	-1	-1	$i$	$- i$	-1	$i$	$i$	$- i$	$- i$	-1	1	$- i$	$i$	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	$- i$	$i$	-1	$- i$	$i$	-1	$- i$	$- i$	$i$	$i$	1	1	1	1	1	1	1	1	1	-1	$- i$	$i$	-1	-1	$- i$	$i$	-1	$- i$	$- i$	$i$	$i$	1	-1	$- i$	$i$	-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	$- i$	$i$	-1	$- i$	$i$	-1	$- i$	$- i$	$i$	$i$	-1	-1	-1	-1	-1	-1	1	1	1	-1	$- i$	$i$	-1	-1	$- i$	$i$	-1	$- i$	$- i$	$i$	$i$	-1	1	$i$	$- i$	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
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
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
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
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	$i$	$- i$	-1	$i$	$- i$	-1	$i$	$i$	$- i$	$- i$	1	-1	-1	-1	-1	-1	-1	-1	-1	1	$- i$	$i$	1	1	$i$	$- i$	-1	$- i$	$- i$	$i$	$i$	1	-1	$i$	$- i$	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	$i$	$- i$	-1	$i$	$- i$	-1	$i$	$i$	$- i$	$- i$	-1	1	1	1	1	1	-1	-1	-1	1	$- i$	$i$	1	1	$i$	$- i$	-1	$- i$	$- i$	$i$	$i$	-1	1	$- i$	$i$	-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	$- i$	$i$	-1	$- i$	$i$	-1	$- i$	$- i$	$i$	$i$	1	-1	-1	-1	-1	-1	-1	-1	-1	1	$i$	$- i$	1	1	$- i$	$i$	-1	$i$	$i$	$- i$	$- i$	1	-1	$- i$	$i$	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	$- i$	$i$	-1	$- i$	$i$	-1	$- i$	$- i$	$i$	$i$	-1	1	1	1	1	1	-1	-1	-1	1	$i$	$- i$	1	1	$- i$	$i$	-1	$i$	$i$	$- i$	$- i$	-1	1	$i$	$- i$	-1	$- i$	$i$
χ₁₇	2	2	2	2	2	2	-2	2	2	0	0	0	2	2	-2	2	-2	-2	2	2	2	2	2	-2	-2	2	2	2	-2	-2	-2	-2	-2	-2	-2	0	0	0	0	0	0	0	0	0	0	0	0	0	0	2	2	-2	0	0	0	0	0	0	0	0	0	0	0
χ₁₈	2	2	2	2	2	2	-2	2	2	0	0	0	2	2	-2	2	-2	-2	2	2	2	2	2	-2	-2	-2	-2	2	2	2	-2	2	2	2	2	0	0	0	0	0	0	0	0	0	0	0	0	0	0	-2	-2	-2	0	0	0	0	0	0	0	0	0	0	0
χ₁₉	2	2	2	2	2	2	-2	2	2	0	0	0	2	2	-2	2	-2	-2	-2	-2	-2	-2	2	-2	-2	$2 i$	$- 2 i$	-2	$- 2 i$	$2 i$	2	$- 2 i$	$- 2 i$	$2 i$	$2 i$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	$2 i$	$- 2 i$	2	0	0	0	0	0	0	0	0	0	0	0
χ₂₀	2	2	2	2	2	2	-2	2	2	0	0	0	2	2	-2	2	-2	-2	-2	-2	-2	-2	2	-2	-2	$- 2 i$	$2 i$	-2	$2 i$	$- 2 i$	2	$2 i$	$2 i$	$- 2 i$	$- 2 i$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	$- 2 i$	$2 i$	2	0	0	0	0	0	0	0	0	0	0	0
χ₂₁	2	2	-1	2	-1	2	2	2	-1	2	-1	-1	-1	2	-1	-1	2	2	2	2	-1	-1	-1	-1	-1	2	2	-1	2	2	2	-1	-1	-1	-1	0	0	0	0	0	0	2	-1	-1	2	2	2	-1	-1	-1	-1	-1	-1	-1	-1	-1	0	0	0	0	0	0	0
χ₂₂	2	2	-1	2	-1	2	2	2	-1	2	-1	-1	-1	2	-1	-1	2	2	2	2	-1	-1	-1	-1	-1	-2	-2	-1	-2	-2	2	1	1	1	1	0	0	0	0	0	0	2	-1	-1	2	-2	-2	-1	-1	1	1	-1	1	1	1	1	0	0	0	0	0	0	0
χ₂₃	2	2	-1	2	-1	2	2	2	-1	2	-1	-1	-1	2	-1	-1	2	2	-2	-2	1	1	-1	-1	-1	$2 i$	$- 2 i$	1	$2 i$	$- 2 i$	-2	$- i$	$- i$	$i$	$i$	0	0	0	0	0	0	2	-1	-1	-2	$2 i$	$- 2 i$	1	1	$- i$	$i$	1	$- i$	$- i$	$i$	$i$	0	0	0	0	0	0	0
χ₂₄	2	2	-1	2	-1	2	2	2	-1	2	-1	-1	-1	2	-1	-1	2	2	-2	-2	1	1	-1	-1	-1	$- 2 i$	$2 i$	1	$- 2 i$	$2 i$	-2	$i$	$i$	$- i$	$- i$	0	0	0	0	0	0	2	-1	-1	-2	$- 2 i$	$2 i$	1	1	$i$	$- i$	1	$i$	$i$	$- i$	$- i$	0	0	0	0	0	0	0
χ₂₅	2	2	-1	2	-1	2	2	2	-1	-2	1	1	-1	2	-1	-1	2	2	2	2	-1	-1	-1	-1	-1	2	2	-1	2	2	2	-1	-1	-1	-1	0	0	0	0	0	0	-2	1	1	-2	-2	-2	1	1	-1	-1	-1	1	1	1	1	0	0	0	0	0	0	0
χ₂₆	2	2	-1	2	-1	2	2	2	-1	-2	1	1	-1	2	-1	-1	2	2	2	2	-1	-1	-1	-1	-1	-2	-2	-1	-2	-2	2	1	1	1	1	0	0	0	0	0	0	-2	1	1	-2	2	2	1	1	1	1	-1	-1	-1	-1	-1	0	0	0	0	0	0	0
χ₂₇	2	2	-1	2	-1	2	2	2	-1	-2	1	1	-1	2	-1	-1	2	2	-2	-2	1	1	-1	-1	-1	$2 i$	$- 2 i$	1	$2 i$	$- 2 i$	-2	$- i$	$- i$	$i$	$i$	0	0	0	0	0	0	-2	1	1	2	$- 2 i$	$2 i$	-1	-1	$- i$	$i$	1	$i$	$i$	$- i$	$- i$	0	0	0	0	0	0	0
χ₂₈	2	2	-1	2	-1	2	2	2	-1	-2	1	1	-1	2	-1	-1	2	2	-2	-2	1	1	-1	-1	-1	$- 2 i$	$2 i$	1	$- 2 i$	$2 i$	-2	$i$	$i$	$- i$	$- i$	0	0	0	0	0	0	-2	1	1	2	$2 i$	$- 2 i$	-1	-1	$i$	$- i$	1	$- i$	$- i$	$i$	$i$	0	0	0	0	0	0	0
χ₂₉	2	2	-1	2	-1	2	-2	2	-1	0	$- i \sqrt{3}$	$i \sqrt{3}$	-1	2	1	-1	-2	-2	2	2	-1	-1	-1	1	1	2	2	-1	-2	-2	-2	1	1	1	1	0	0	0	0	0	0	0	$- i \sqrt{3}$	$i \sqrt{3}$	0	0	0	$- i \sqrt{3}$	$i \sqrt{3}$	-1	-1	1	$- i \sqrt{3}$	$i \sqrt{3}$	$- i \sqrt{3}$	$i \sqrt{3}$	0	0	0	0	0	0	0
χ₃₀	2	2	-1	2	-1	2	-2	2	-1	0	$- i \sqrt{3}$	$i \sqrt{3}$	-1	2	1	-1	-2	-2	2	2	-1	-1	-1	1	1	-2	-2	-1	2	2	-2	-1	-1	-1	-1	0	0	0	0	0	0	0	$- i \sqrt{3}$	$i \sqrt{3}$	0	0	0	$- i \sqrt{3}$	$i \sqrt{3}$	1	1	1	$i \sqrt{3}$	$- i \sqrt{3}$	$i \sqrt{3}$	$- i \sqrt{3}$	0	0	0	0	0	0	0
χ₃₁	2	2	-1	2	-1	2	-2	2	-1	0	$- i \sqrt{3}$	$i \sqrt{3}$	-1	2	1	-1	-2	-2	-2	-2	1	1	-1	1	1	$2 i$	$- 2 i$	1	$- 2 i$	$2 i$	2	$i$	$i$	$- i$	$- i$	0	0	0	0	0	0	0	$- i \sqrt{3}$	$i \sqrt{3}$	0	0	0	$i \sqrt{3}$	$- i \sqrt{3}$	$- i$	$i$	-1	$\sqrt{3}$	$- \sqrt{3}$	$- \sqrt{3}$	$\sqrt{3}$	0	0	0	0	0	0	0
χ₃₂	2	2	-1	2	-1	2	-2	2	-1	0	$- i \sqrt{3}$	$i \sqrt{3}$	-1	2	1	-1	-2	-2	-2	-2	1	1	-1	1	1	$- 2 i$	$2 i$	1	$2 i$	$- 2 i$	2	$- i$	$- i$	$i$	$i$	0	0	0	0	0	0	0	$- i \sqrt{3}$	$i \sqrt{3}$	0	0	0	$i \sqrt{3}$	$- i \sqrt{3}$	$i$	$- i$	-1	$- \sqrt{3}$	$\sqrt{3}$	$\sqrt{3}$	$- \sqrt{3}$	0	0	0	0	0	0	0
χ₃₃	2	2	-1	2	-1	2	-2	2	-1	0	$i \sqrt{3}$	$- i \sqrt{3}$	-1	2	1	-1	-2	-2	2	2	-1	-1	-1	1	1	2	2	-1	-2	-2	-2	1	1	1	1	0	0	0	0	0	0	0	$i \sqrt{3}$	$- i \sqrt{3}$	0	0	0	$i \sqrt{3}$	$- i \sqrt{3}$	-1	-1	1	$i \sqrt{3}$	$- i \sqrt{3}$	$i \sqrt{3}$	$- i \sqrt{3}$	0	0	0	0	0	0	0
χ₃₄	2	2	-1	2	-1	2	-2	2	-1	0	$i \sqrt{3}$	$- i \sqrt{3}$	-1	2	1	-1	-2	-2	2	2	-1	-1	-1	1	1	-2	-2	-1	2	2	-2	-1	-1	-1	-1	0	0	0	0	0	0	0	$i \sqrt{3}$	$- i \sqrt{3}$	0	0	0	$i \sqrt{3}$	$- i \sqrt{3}$	1	1	1	$- i \sqrt{3}$	$i \sqrt{3}$	$- i \sqrt{3}$	$i \sqrt{3}$	0	0	0	0	0	0	0
χ₃₅	2	2	-1	2	-1	2	-2	2	-1	0	$i \sqrt{3}$	$- i \sqrt{3}$	-1	2	1	-1	-2	-2	-2	-2	1	1	-1	1	1	$2 i$	$- 2 i$	1	$- 2 i$	$2 i$	2	$i$	$i$	$- i$	$- i$	0	0	0	0	0	0	0	$i \sqrt{3}$	$- i \sqrt{3}$	0	0	0	$- i \sqrt{3}$	$i \sqrt{3}$	$- i$	$i$	-1	$- \sqrt{3}$	$\sqrt{3}$	$\sqrt{3}$	$- \sqrt{3}$	0	0	0	0	0	0	0
χ₃₆	2	2	-1	2	-1	2	-2	2	-1	0	$i \sqrt{3}$	$- i \sqrt{3}$	-1	2	1	-1	-2	-2	-2	-2	1	1	-1	1	1	$- 2 i$	$2 i$	1	$2 i$	$- 2 i$	2	$- i$	$- i$	$i$	$i$	0	0	0	0	0	0	0	$i \sqrt{3}$	$- i \sqrt{3}$	0	0	0	$- i \sqrt{3}$	$i \sqrt{3}$	$i$	$- i$	-1	$\sqrt{3}$	$- \sqrt{3}$	$- \sqrt{3}$	$\sqrt{3}$	0	0	0	0	0	0	0
χ₃₇	4	4	4	4	4	-1	4	-1	4	4	4	4	-1	-1	4	-1	-1	-1	0	0	0	0	-1	-1	-1	0	0	0	0	0	0	0	0	0	0	4	4	-1	-1	-1	-1	-1	-1	-1	0	0	0	0	0	0	0	0	0	0	0	0	-1	0	0	0	0	0	0
χ₃₈	4	4	4	4	4	-1	4	-1	4	4	4	4	-1	-1	4	-1	-1	-1	0	0	0	0	-1	-1	-1	0	0	0	0	0	0	0	0	0	0	-4	-4	1	1	1	1	-1	-1	-1	0	0	0	0	0	0	0	0	0	0	0	0	1	0	0	0	0	0	0
χ₃₉	4	4	4	4	4	-1	4	-1	4	-4	-4	-4	-1	-1	4	-1	-1	-1	0	0	0	0	-1	-1	-1	0	0	0	0	0	0	0	0	0	0	4	-4	1	1	1	1	1	1	1	0	0	0	0	0	0	0	0	0	0	0	0	-1	0	0	0	0	0	0
χ₄₀	4	4	4	4	4	-1	4	-1	4	-4	-4	-4	-1	-1	4	-1	-1	-1	0	0	0	0	-1	-1	-1	0	0	0	0	0	0	0	0	0	0	-4	4	-1	-1	-1	-1	1	1	1	0	0	0	0	0	0	0	0	0	0	0	0	1	0	0	0	0	0	0
χ₄₁	4	4	4	-4	4	4	0	4	-4	0	0	0	4	-4	0	4	0	0	4	-4	-4	-4	-4	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
χ₄₂	4	4	4	-4	4	4	0	4	-4	0	0	0	4	-4	0	4	0	0	-4	4	4	4	-4	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
χ₄₃	4	4	-2	-4	-2	4	0	4	2	0	0	0	-2	-4	0	-2	0	0	4	-4	2	2	2	0	0	0	0	-2	0	0	0	$2 \sqrt{3}$	$- 2 \sqrt{3}$	$2 \sqrt{3}$	$- 2 \sqrt{3}$	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
χ₄₄	4	4	-2	-4	-2	4	0	4	2	0	0	0	-2	-4	0	-2	0	0	4	-4	2	2	2	0	0	0	0	-2	0	0	0	$- 2 \sqrt{3}$	$2 \sqrt{3}$	$- 2 \sqrt{3}$	$2 \sqrt{3}$	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
χ₄₅	4	4	-2	-4	-2	4	0	4	2	0	0	0	-2	-4	0	-2	0	0	-4	4	-2	-2	2	0	0	0	0	2	0	0	0	$- 2 i \sqrt{3}$	$2 i \sqrt{3}$	$2 i \sqrt{3}$	$- 2 i \sqrt{3}$	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
χ₄₆	4	4	-2	-4	-2	4	0	4	2	0	0	0	-2	-4	0	-2	0	0	-4	4	-2	-2	2	0	0	0	0	2	0	0	0	$2 i \sqrt{3}$	$- 2 i \sqrt{3}$	$- 2 i \sqrt{3}$	$2 i \sqrt{3}$	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
χ₄₇	8	8	8	8	8	-2	-8	-2	8	0	0	0	-2	-2	-8	-2	2	2	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	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₄₈	8	8	8	-8	8	-2	0	-2	-8	0	0	0	-2	2	0	-2	0	0	0	0	0	0	2	0	0	0	0	0	0	0	0	0	0	0	0	0	0	$\sqrt{10}$	$\sqrt{10}$	$- \sqrt{10}$	$- \sqrt{10}$	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	-8	8	-2	0	-2	-8	0	0	0	-2	2	0	-2	0	0	0	0	0	0	2	0	0	0	0	0	0	0	0	0	0	0	0	0	0	$- \sqrt{10}$	$- \sqrt{10}$	$\sqrt{10}$	$\sqrt{10}$	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	-2	8	-2	-4	8	-4	-4	1	-2	-4	1	-2	-2	0	0	0	0	1	1	1	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	-2	1	1	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	-2	8	-2	-4	-8	4	4	1	-2	-4	1	-2	-2	0	0	0	0	1	1	1	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	2	-1	-1	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	-2	-8	-2	-4	0	$- 4 i \sqrt{3}$	$4 i \sqrt{3}$	1	-2	4	1	2	2	0	0	0	0	1	-1	-1	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	$i \sqrt{3}$	$- i \sqrt{3}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₅₃	8	8	-4	8	-4	-2	-8	-2	-4	0	$4 i \sqrt{3}$	$- 4 i \sqrt{3}$	1	-2	4	1	2	2	0	0	0	0	1	-1	-1	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	$- i \sqrt{3}$	$i \sqrt{3}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₅₄	8	-8	8	0	-8	8	0	-8	0	0	0	0	8	0	0	-8	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	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	8	0	-8	-2	0	2	0	0	0	0	-2	0	0	2	$\sqrt{10}$	$- \sqrt{10}$	0	0	0	0	0	$\sqrt{10}$	$- \sqrt{10}$	0	0	0	0	0	0	0	0	0	0	0	0	−ζ¹¹−ζ²⁹−ζ⁴⁷+ζ⁵⁹+ζ⁶¹−ζ⁷³−ζ⁹¹−ζ¹⁰⁹−ζ¹²⁷+ζ¹³⁷+ζ¹³⁹+ζ¹⁴³+ζ²¹⁷+ζ²²¹+ζ²²³−ζ²³³	ζ¹¹+ζ²⁹+ζ⁴⁷−ζ⁵⁹−ζ⁶¹+ζ⁷³+ζ⁹¹+ζ¹⁰⁹+ζ¹²⁷−ζ¹³⁷−ζ¹³⁹−ζ¹⁴³−ζ²¹⁷−ζ²²¹−ζ²²³+ζ²³³	−ζ¹³+ζ³¹−ζ⁴¹+ζ⁴³+ζ⁷⁷−ζ⁷⁹+ζ⁸⁹−ζ¹⁰⁷−ζ¹²¹+ζ¹⁵⁷+ζ¹⁶⁹−ζ¹⁷³−ζ¹⁸⁷+ζ¹⁹¹+ζ²⁰³−ζ²³⁹	ζ¹³−ζ³¹+ζ⁴¹−ζ⁴³−ζ⁷⁷+ζ⁷⁹−ζ⁸⁹+ζ¹⁰⁷+ζ¹²¹−ζ¹⁵⁷−ζ¹⁶⁹+ζ¹⁷³+ζ¹⁸⁷−ζ¹⁹¹−ζ²⁰³+ζ²³⁹	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	8	0	-8	-2	0	2	0	0	0	0	-2	0	0	2	$\sqrt{10}$	$- \sqrt{10}$	0	0	0	0	0	$\sqrt{10}$	$- \sqrt{10}$	0	0	0	0	0	0	0	0	0	0	0	0	ζ¹¹+ζ²⁹+ζ⁴⁷−ζ⁵⁹−ζ⁶¹+ζ⁷³+ζ⁹¹+ζ¹⁰⁹+ζ¹²⁷−ζ¹³⁷−ζ¹³⁹−ζ¹⁴³−ζ²¹⁷−ζ²²¹−ζ²²³+ζ²³³	−ζ¹¹−ζ²⁹−ζ⁴⁷+ζ⁵⁹+ζ⁶¹−ζ⁷³−ζ⁹¹−ζ¹⁰⁹−ζ¹²⁷+ζ¹³⁷+ζ¹³⁹+ζ¹⁴³+ζ²¹⁷+ζ²²¹+ζ²²³−ζ²³³	ζ¹³−ζ³¹+ζ⁴¹−ζ⁴³−ζ⁷⁷+ζ⁷⁹−ζ⁸⁹+ζ¹⁰⁷+ζ¹²¹−ζ¹⁵⁷−ζ¹⁶⁹+ζ¹⁷³+ζ¹⁸⁷−ζ¹⁹¹−ζ²⁰³+ζ²³⁹	−ζ¹³+ζ³¹−ζ⁴¹+ζ⁴³+ζ⁷⁷−ζ⁷⁹+ζ⁸⁹−ζ¹⁰⁷−ζ¹²¹+ζ¹⁵⁷+ζ¹⁶⁹−ζ¹⁷³−ζ¹⁸⁷+ζ¹⁹¹+ζ²⁰³−ζ²³⁹	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	8	0	-8	-2	0	2	0	0	0	0	-2	0	0	2	$- \sqrt{10}$	$\sqrt{10}$	0	0	0	0	0	$- \sqrt{10}$	$\sqrt{10}$	0	0	0	0	0	0	0	0	0	0	0	0	−ζ¹³+ζ³¹−ζ⁴¹+ζ⁴³+ζ⁷⁷−ζ⁷⁹+ζ⁸⁹−ζ¹⁰⁷−ζ¹²¹+ζ¹⁵⁷+ζ¹⁶⁹−ζ¹⁷³−ζ¹⁸⁷+ζ¹⁹¹+ζ²⁰³−ζ²³⁹	ζ¹³−ζ³¹+ζ⁴¹−ζ⁴³−ζ⁷⁷+ζ⁷⁹−ζ⁸⁹+ζ¹⁰⁷+ζ¹²¹−ζ¹⁵⁷−ζ¹⁶⁹+ζ¹⁷³+ζ¹⁸⁷−ζ¹⁹¹−ζ²⁰³+ζ²³⁹	ζ¹¹+ζ²⁹+ζ⁴⁷−ζ⁵⁹−ζ⁶¹+ζ⁷³+ζ⁹¹+ζ¹⁰⁹+ζ¹²⁷−ζ¹³⁷−ζ¹³⁹−ζ¹⁴³−ζ²¹⁷−ζ²²¹−ζ²²³+ζ²³³	−ζ¹¹−ζ²⁹−ζ⁴⁷+ζ⁵⁹+ζ⁶¹−ζ⁷³−ζ⁹¹−ζ¹⁰⁹−ζ¹²⁷+ζ¹³⁷+ζ¹³⁹+ζ¹⁴³+ζ²¹⁷+ζ²²¹+ζ²²³−ζ²³³	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	8	0	-8	-2	0	2	0	0	0	0	-2	0	0	2	$- \sqrt{10}$	$\sqrt{10}$	0	0	0	0	0	$- \sqrt{10}$	$\sqrt{10}$	0	0	0	0	0	0	0	0	0	0	0	0	ζ¹³−ζ³¹+ζ⁴¹−ζ⁴³−ζ⁷⁷+ζ⁷⁹−ζ⁸⁹+ζ¹⁰⁷+ζ¹²¹−ζ¹⁵⁷−ζ¹⁶⁹+ζ¹⁷³+ζ¹⁸⁷−ζ¹⁹¹−ζ²⁰³+ζ²³⁹	−ζ¹³+ζ³¹−ζ⁴¹+ζ⁴³+ζ⁷⁷−ζ⁷⁹+ζ⁸⁹−ζ¹⁰⁷−ζ¹²¹+ζ¹⁵⁷+ζ¹⁶⁹−ζ¹⁷³−ζ¹⁸⁷+ζ¹⁹¹+ζ²⁰³−ζ²³⁹	−ζ¹¹−ζ²⁹−ζ⁴⁷+ζ⁵⁹+ζ⁶¹−ζ⁷³−ζ⁹¹−ζ¹⁰⁹−ζ¹²⁷+ζ¹³⁷+ζ¹³⁹+ζ¹⁴³+ζ²¹⁷+ζ²²¹+ζ²²³−ζ²³³	ζ¹¹+ζ²⁹+ζ⁴⁷−ζ⁵⁹−ζ⁶¹+ζ⁷³+ζ⁹¹+ζ¹⁰⁹+ζ¹²⁷−ζ¹³⁷−ζ¹³⁹−ζ¹⁴³−ζ²¹⁷−ζ²²¹−ζ²²³+ζ²³³	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	0	4	8	0	-8	0	0	0	0	-4	0	0	4	0	0	0	0	$4 \sqrt{3}$	$- 4 \sqrt{3}$	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	0	0	0	0	0	0	0	0
χ₆₀	8	-8	-4	0	4	8	0	-8	0	0	0	0	-4	0	0	4	0	0	0	0	$- 4 \sqrt{3}$	$4 \sqrt{3}$	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	0	0	0	0	0	0	0	0
χ₆₁	16	16	-8	-16	-8	-4	0	-4	8	0	0	0	2	4	0	2	0	0	0	0	0	0	-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
χ₆₂	16	-16	-8	0	8	-4	0	4	0	0	0	0	2	0	0	-2	$2 \sqrt{10}$	$- 2 \sqrt{10}$	0	0	0	0	0	$- \sqrt{10}$	$\sqrt{10}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	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	-8	0	8	-4	0	4	0	0	0	0	2	0	0	-2	$- 2 \sqrt{10}$	$2 \sqrt{10}$	0	0	0	0	0	$\sqrt{10}$	$- \sqrt{10}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0

Here ζ is a primitive root of unity of order 240 (ζ²⁴⁰ = 1); i = ζ⁶⁰.

Character table — Group #14315906