Group #11752391 — 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	2	2	4	4	4	4	4	4	4	4	4	4	4	5	5	8	8	8	8	8	8	8	8	8	8	8	10	10	10	10	10	15	15	15	15	16	16	16	16	16	16	20	20	20	20	20	30	30	30	30	30	30	40	40	60	60	60	60
order	1	2	3	4	6	8	8	2	2	5	10	12	15	15	24	24	30	30	4	4	6	6	20	40	40	60	60	120	120	120	120	2	8	8	12	12	8	8	8	8	10	10	30	30	30	30	4	4	6	24	24	4	4	4	4	8	8	12	12	8	8	8	8
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	$i$	$i$	$- i$	$- i$	1	1	1	1	1	1	-1	-1	-1	-1	-1	$i$	$i$	$- i$	$- i$	$i$	$- i$	-1	-1	$i$	$i$	$- i$	$- i$
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	$- i$	$- i$	$i$	$i$	1	1	1	1	1	1	-1	-1	-1	-1	-1	$- i$	$- i$	$i$	$i$	$- i$	$i$	-1	-1	$- i$	$- i$	$i$	$i$
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	1	1	1	1	1	1	-1	-1	-1	-1	-1	-1
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	-1	-1	-1	-1	-1	-1	-1	-1	1	1	1	1
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	$i$	$i$	$- i$	$- i$	-1	-1	-1	-1	-1	-1	1	1	-1	-1	-1	$i$	$i$	$- i$	$- i$	$i$	$- i$	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	$- i$	$- i$	$i$	$i$	-1	-1	-1	-1	-1	-1	1	1	-1	-1	-1	$- i$	$- i$	$i$	$i$	$- i$	$i$	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
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	$i$	$i$	$- i$	$- i$	1	-1	1	1	-1	-1	-1	1	-1	1	1	$- i$	$- i$	$i$	$i$	$i$	$- i$	-1	1	$i$	$- i$	$- i$	$i$
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	$- i$	$- i$	$i$	$i$	1	-1	1	1	-1	-1	-1	1	-1	1	1	$i$	$i$	$- i$	$- i$	$- i$	$i$	-1	1	$- i$	$i$	$i$	$- i$
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	-1	-1	-1	-1	1	1	-1	1	-1	1	-1	1
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	1	1	1	1	-1	-1	-1	1	1	-1	1	-1
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	$i$	$i$	$- i$	$- i$	-1	1	-1	-1	1	1	1	-1	-1	1	1	$- i$	$- i$	$i$	$i$	$i$	$- i$	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	$- i$	$- i$	$i$	$i$	-1	1	-1	-1	1	1	1	-1	-1	1	1	$i$	$i$	$- i$	$- i$	$- i$	$i$	1	-1	$i$	$- i$	$- i$	$i$
χ₁₇	2	2	2	-2	2	0	0	0	0	2	2	-2	2	2	0	0	2	2	2	2	0	0	-2	0	0	-2	-2	0	0	0	0	-2	0	0	2	2	2	2	2	2	0	0	0	0	0	0	0	0	-2	0	0	0	0	0	0	-2	-2	0	0	0	0	0	0
χ₁₈	2	2	2	-2	2	0	0	0	0	2	2	-2	2	2	0	0	2	2	2	2	0	0	-2	0	0	-2	-2	0	0	0	0	-2	0	0	2	2	-2	-2	-2	-2	0	0	0	0	0	0	0	0	-2	0	0	0	0	0	0	2	2	0	0	0	0	0	0
χ₁₉	2	2	2	-2	2	0	0	0	0	2	2	-2	2	2	0	0	2	2	-2	-2	0	0	-2	0	0	-2	-2	0	0	0	0	2	0	0	-2	-2	$2 i$	$2 i$	$- 2 i$	$- 2 i$	0	0	0	0	0	0	0	0	2	0	0	0	0	0	0	$- 2 i$	$2 i$	0	0	0	0	0	0
χ₂₀	2	2	2	-2	2	0	0	0	0	2	2	-2	2	2	0	0	2	2	-2	-2	0	0	-2	0	0	-2	-2	0	0	0	0	2	0	0	-2	-2	$- 2 i$	$- 2 i$	$2 i$	$2 i$	0	0	0	0	0	0	0	0	2	0	0	0	0	0	0	$2 i$	$- 2 i$	0	0	0	0	0	0
χ₂₁	2	2	-1	2	-1	2	2	2	2	2	2	-1	-1	-1	-1	-1	-1	-1	2	2	-1	-1	2	2	2	-1	-1	-1	-1	-1	-1	2	2	2	-1	-1	0	0	0	0	2	2	-1	-1	-1	-1	2	2	-1	-1	-1	0	0	0	0	0	0	-1	-1	0	0	0	0
χ₂₂	2	2	-1	2	-1	2	2	2	2	2	2	-1	-1	-1	-1	-1	-1	-1	-2	-2	-1	-1	2	2	2	-1	-1	-1	-1	-1	-1	-2	-2	-2	1	1	0	0	0	0	2	2	-1	-1	-1	-1	-2	-2	1	1	1	0	0	0	0	0	0	1	1	0	0	0	0
χ₂₃	2	2	-1	2	-1	2	2	-2	-2	2	2	-1	-1	-1	-1	-1	-1	-1	2	2	1	1	2	2	2	-1	-1	-1	-1	-1	-1	2	2	2	-1	-1	0	0	0	0	-2	-2	1	1	1	1	-2	-2	-1	-1	-1	0	0	0	0	0	0	1	1	0	0	0	0
χ₂₄	2	2	-1	2	-1	2	2	-2	-2	2	2	-1	-1	-1	-1	-1	-1	-1	-2	-2	1	1	2	2	2	-1	-1	-1	-1	-1	-1	-2	-2	-2	1	1	0	0	0	0	-2	-2	1	1	1	1	2	2	1	1	1	0	0	0	0	0	0	-1	-1	0	0	0	0
χ₂₅	2	2	-1	2	-1	-2	-2	2	-2	2	2	-1	-1	-1	1	1	-1	-1	2	2	-1	1	2	-2	-2	-1	-1	1	1	1	1	2	-2	-2	-1	-1	0	0	0	0	2	-2	-1	-1	1	1	2	-2	-1	1	1	0	0	0	0	0	0	-1	1	0	0	0	0
χ₂₆	2	2	-1	2	-1	-2	-2	2	-2	2	2	-1	-1	-1	1	1	-1	-1	-2	-2	-1	1	2	-2	-2	-1	-1	1	1	1	1	-2	2	2	1	1	0	0	0	0	2	-2	-1	-1	1	1	-2	2	1	-1	-1	0	0	0	0	0	0	1	-1	0	0	0	0
χ₂₇	2	2	-1	2	-1	-2	-2	-2	2	2	2	-1	-1	-1	1	1	-1	-1	2	2	1	-1	2	-2	-2	-1	-1	1	1	1	1	2	-2	-2	-1	-1	0	0	0	0	-2	2	1	1	-1	-1	-2	2	-1	1	1	0	0	0	0	0	0	1	-1	0	0	0	0
χ₂₈	2	2	-1	2	-1	-2	-2	-2	2	2	2	-1	-1	-1	1	1	-1	-1	-2	-2	1	-1	2	-2	-2	-1	-1	1	1	1	1	-2	2	2	1	1	0	0	0	0	-2	2	1	1	-1	-1	2	-2	1	-1	-1	0	0	0	0	0	0	-1	1	0	0	0	0
χ₂₉	2	-2	2	0	-2	$\sqrt{2}$	$- \sqrt{2}$	0	0	2	-2	0	2	2	$\sqrt{2}$	$- \sqrt{2}$	-2	-2	$2 i$	$- 2 i$	0	0	0	$\sqrt{2}$	$- \sqrt{2}$	0	0	$\sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	0	$- i \sqrt{2}$	$i \sqrt{2}$	$2 i$	$- 2 i$	2ζ⁷+2ζ²³+2ζ³¹+2ζ⁴⁷+2ζ⁷¹+2ζ⁷⁹+2ζ¹⁰³+2ζ¹¹⁹	−2ζ⁷−2ζ²³−2ζ³¹−2ζ⁴⁷−2ζ⁷¹−2ζ⁷⁹−2ζ¹⁰³−2ζ¹¹⁹	−2ζ¹³−2ζ²⁹−2ζ³⁷−2ζ⁵³−2ζ⁶¹−2ζ⁷⁷−2ζ¹⁰¹−2ζ¹⁰⁹	2ζ¹³+2ζ²⁹+2ζ³⁷+2ζ⁵³+2ζ⁶¹+2ζ⁷⁷+2ζ¹⁰¹+2ζ¹⁰⁹	0	0	0	0	0	0	0	0	0	$- i \sqrt{2}$	$i \sqrt{2}$	$1 + i$	$- 1 - i$	$1 - i$	$- 1 + i$	0	0	0	0	0	0	0	0
χ₃₀	2	-2	2	0	-2	$\sqrt{2}$	$- \sqrt{2}$	0	0	2	-2	0	2	2	$\sqrt{2}$	$- \sqrt{2}$	-2	-2	$2 i$	$- 2 i$	0	0	0	$\sqrt{2}$	$- \sqrt{2}$	0	0	$\sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	0	$- i \sqrt{2}$	$i \sqrt{2}$	$2 i$	$- 2 i$	−2ζ⁷−2ζ²³−2ζ³¹−2ζ⁴⁷−2ζ⁷¹−2ζ⁷⁹−2ζ¹⁰³−2ζ¹¹⁹	2ζ⁷+2ζ²³+2ζ³¹+2ζ⁴⁷+2ζ⁷¹+2ζ⁷⁹+2ζ¹⁰³+2ζ¹¹⁹	2ζ¹³+2ζ²⁹+2ζ³⁷+2ζ⁵³+2ζ⁶¹+2ζ⁷⁷+2ζ¹⁰¹+2ζ¹⁰⁹	−2ζ¹³−2ζ²⁹−2ζ³⁷−2ζ⁵³−2ζ⁶¹−2ζ⁷⁷−2ζ¹⁰¹−2ζ¹⁰⁹	0	0	0	0	0	0	0	0	0	$- i \sqrt{2}$	$i \sqrt{2}$	$- 1 - i$	$1 + i$	$- 1 + i$	$1 - i$	0	0	0	0	0	0	0	0
χ₃₁	2	-2	2	0	-2	$\sqrt{2}$	$- \sqrt{2}$	0	0	2	-2	0	2	2	$\sqrt{2}$	$- \sqrt{2}$	-2	-2	$- 2 i$	$2 i$	0	0	0	$\sqrt{2}$	$- \sqrt{2}$	0	0	$\sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	0	$i \sqrt{2}$	$- i \sqrt{2}$	$- 2 i$	$2 i$	−2ζ¹³−2ζ²⁹−2ζ³⁷−2ζ⁵³−2ζ⁶¹−2ζ⁷⁷−2ζ¹⁰¹−2ζ¹⁰⁹	2ζ¹³+2ζ²⁹+2ζ³⁷+2ζ⁵³+2ζ⁶¹+2ζ⁷⁷+2ζ¹⁰¹+2ζ¹⁰⁹	2ζ⁷+2ζ²³+2ζ³¹+2ζ⁴⁷+2ζ⁷¹+2ζ⁷⁹+2ζ¹⁰³+2ζ¹¹⁹	−2ζ⁷−2ζ²³−2ζ³¹−2ζ⁴⁷−2ζ⁷¹−2ζ⁷⁹−2ζ¹⁰³−2ζ¹¹⁹	0	0	0	0	0	0	0	0	0	$i \sqrt{2}$	$- i \sqrt{2}$	$1 - i$	$- 1 + i$	$1 + i$	$- 1 - i$	0	0	0	0	0	0	0	0
χ₃₂	2	-2	2	0	-2	$\sqrt{2}$	$- \sqrt{2}$	0	0	2	-2	0	2	2	$\sqrt{2}$	$- \sqrt{2}$	-2	-2	$- 2 i$	$2 i$	0	0	0	$\sqrt{2}$	$- \sqrt{2}$	0	0	$\sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	0	$i \sqrt{2}$	$- i \sqrt{2}$	$- 2 i$	$2 i$	2ζ¹³+2ζ²⁹+2ζ³⁷+2ζ⁵³+2ζ⁶¹+2ζ⁷⁷+2ζ¹⁰¹+2ζ¹⁰⁹	−2ζ¹³−2ζ²⁹−2ζ³⁷−2ζ⁵³−2ζ⁶¹−2ζ⁷⁷−2ζ¹⁰¹−2ζ¹⁰⁹	−2ζ⁷−2ζ²³−2ζ³¹−2ζ⁴⁷−2ζ⁷¹−2ζ⁷⁹−2ζ¹⁰³−2ζ¹¹⁹	2ζ⁷+2ζ²³+2ζ³¹+2ζ⁴⁷+2ζ⁷¹+2ζ⁷⁹+2ζ¹⁰³+2ζ¹¹⁹	0	0	0	0	0	0	0	0	0	$i \sqrt{2}$	$- i \sqrt{2}$	$- 1 + i$	$1 - i$	$- 1 - i$	$1 + i$	0	0	0	0	0	0	0	0
χ₃₃	2	-2	2	0	-2	$- \sqrt{2}$	$\sqrt{2}$	0	0	2	-2	0	2	2	$- \sqrt{2}$	$\sqrt{2}$	-2	-2	$2 i$	$- 2 i$	0	0	0	$- \sqrt{2}$	$\sqrt{2}$	0	0	$- \sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	0	$i \sqrt{2}$	$- i \sqrt{2}$	$2 i$	$- 2 i$	2ζ⁷+2ζ²³+2ζ³¹+2ζ⁴⁷+2ζ⁷¹+2ζ⁷⁹+2ζ¹⁰³+2ζ¹¹⁹	−2ζ⁷−2ζ²³−2ζ³¹−2ζ⁴⁷−2ζ⁷¹−2ζ⁷⁹−2ζ¹⁰³−2ζ¹¹⁹	−2ζ¹³−2ζ²⁹−2ζ³⁷−2ζ⁵³−2ζ⁶¹−2ζ⁷⁷−2ζ¹⁰¹−2ζ¹⁰⁹	2ζ¹³+2ζ²⁹+2ζ³⁷+2ζ⁵³+2ζ⁶¹+2ζ⁷⁷+2ζ¹⁰¹+2ζ¹⁰⁹	0	0	0	0	0	0	0	0	0	$i \sqrt{2}$	$- i \sqrt{2}$	$- 1 - i$	$1 + i$	$- 1 + i$	$1 - i$	0	0	0	0	0	0	0	0
χ₃₄	2	-2	2	0	-2	$- \sqrt{2}$	$\sqrt{2}$	0	0	2	-2	0	2	2	$- \sqrt{2}$	$\sqrt{2}$	-2	-2	$2 i$	$- 2 i$	0	0	0	$- \sqrt{2}$	$\sqrt{2}$	0	0	$- \sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	0	$i \sqrt{2}$	$- i \sqrt{2}$	$2 i$	$- 2 i$	−2ζ⁷−2ζ²³−2ζ³¹−2ζ⁴⁷−2ζ⁷¹−2ζ⁷⁹−2ζ¹⁰³−2ζ¹¹⁹	2ζ⁷+2ζ²³+2ζ³¹+2ζ⁴⁷+2ζ⁷¹+2ζ⁷⁹+2ζ¹⁰³+2ζ¹¹⁹	2ζ¹³+2ζ²⁹+2ζ³⁷+2ζ⁵³+2ζ⁶¹+2ζ⁷⁷+2ζ¹⁰¹+2ζ¹⁰⁹	−2ζ¹³−2ζ²⁹−2ζ³⁷−2ζ⁵³−2ζ⁶¹−2ζ⁷⁷−2ζ¹⁰¹−2ζ¹⁰⁹	0	0	0	0	0	0	0	0	0	$i \sqrt{2}$	$- i \sqrt{2}$	$1 + i$	$- 1 - i$	$1 - i$	$- 1 + i$	0	0	0	0	0	0	0	0
χ₃₅	2	-2	2	0	-2	$- \sqrt{2}$	$\sqrt{2}$	0	0	2	-2	0	2	2	$- \sqrt{2}$	$\sqrt{2}$	-2	-2	$- 2 i$	$2 i$	0	0	0	$- \sqrt{2}$	$\sqrt{2}$	0	0	$- \sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	0	$- i \sqrt{2}$	$i \sqrt{2}$	$- 2 i$	$2 i$	−2ζ¹³−2ζ²⁹−2ζ³⁷−2ζ⁵³−2ζ⁶¹−2ζ⁷⁷−2ζ¹⁰¹−2ζ¹⁰⁹	2ζ¹³+2ζ²⁹+2ζ³⁷+2ζ⁵³+2ζ⁶¹+2ζ⁷⁷+2ζ¹⁰¹+2ζ¹⁰⁹	2ζ⁷+2ζ²³+2ζ³¹+2ζ⁴⁷+2ζ⁷¹+2ζ⁷⁹+2ζ¹⁰³+2ζ¹¹⁹	−2ζ⁷−2ζ²³−2ζ³¹−2ζ⁴⁷−2ζ⁷¹−2ζ⁷⁹−2ζ¹⁰³−2ζ¹¹⁹	0	0	0	0	0	0	0	0	0	$- i \sqrt{2}$	$i \sqrt{2}$	$- 1 + i$	$1 - i$	$- 1 - i$	$1 + i$	0	0	0	0	0	0	0	0
χ₃₆	2	-2	2	0	-2	$- \sqrt{2}$	$\sqrt{2}$	0	0	2	-2	0	2	2	$- \sqrt{2}$	$\sqrt{2}$	-2	-2	$- 2 i$	$2 i$	0	0	0	$- \sqrt{2}$	$\sqrt{2}$	0	0	$- \sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	0	$- i \sqrt{2}$	$i \sqrt{2}$	$- 2 i$	$2 i$	2ζ¹³+2ζ²⁹+2ζ³⁷+2ζ⁵³+2ζ⁶¹+2ζ⁷⁷+2ζ¹⁰¹+2ζ¹⁰⁹	−2ζ¹³−2ζ²⁹−2ζ³⁷−2ζ⁵³−2ζ⁶¹−2ζ⁷⁷−2ζ¹⁰¹−2ζ¹⁰⁹	−2ζ⁷−2ζ²³−2ζ³¹−2ζ⁴⁷−2ζ⁷¹−2ζ⁷⁹−2ζ¹⁰³−2ζ¹¹⁹	2ζ⁷+2ζ²³+2ζ³¹+2ζ⁴⁷+2ζ⁷¹+2ζ⁷⁹+2ζ¹⁰³+2ζ¹¹⁹	0	0	0	0	0	0	0	0	0	$- i \sqrt{2}$	$i \sqrt{2}$	$1 - i$	$- 1 + i$	$1 + i$	$- 1 - i$	0	0	0	0	0	0	0	0
χ₃₇	4	4	4	4	4	4	4	4	4	-1	-1	4	-1	-1	4	4	-1	-1	0	0	4	4	-1	-1	-1	-1	-1	-1	-1	-1	-1	0	0	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	0	0	0
χ₃₈	4	4	4	4	4	4	4	-4	-4	-1	-1	4	-1	-1	4	4	-1	-1	0	0	-4	-4	-1	-1	-1	-1	-1	-1	-1	-1	-1	0	0	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	0	0	0
χ₃₉	4	4	4	4	4	-4	-4	4	-4	-1	-1	4	-1	-1	-4	-4	-1	-1	0	0	4	-4	-1	1	1	-1	-1	1	1	1	1	0	0	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	0	0	0
χ₄₀	4	4	4	4	4	-4	-4	-4	4	-1	-1	4	-1	-1	-4	-4	-1	-1	0	0	-4	4	-1	1	1	-1	-1	1	1	1	1	0	0	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	0	0	0
χ₄₁	4	4	-2	4	-2	4	4	4	4	-1	-1	-2	$\frac{1 - i \sqrt{15}}{2}$	$\frac{1 + i \sqrt{15}}{2}$	-2	-2	$\frac{1 - i \sqrt{15}}{2}$	$\frac{1 + i \sqrt{15}}{2}$	0	0	-2	-2	-1	-1	-1	$\frac{1 - i \sqrt{15}}{2}$	$\frac{1 + i \sqrt{15}}{2}$	$\frac{1 - i \sqrt{15}}{2}$	$\frac{1 + i \sqrt{15}}{2}$	$\frac{1 - i \sqrt{15}}{2}$	$\frac{1 + i \sqrt{15}}{2}$	0	0	0	0	0	0	0	0	0	-1	-1	$\frac{1 - i \sqrt{15}}{2}$	$\frac{1 + i \sqrt{15}}{2}$	$\frac{1 - i \sqrt{15}}{2}$	$\frac{1 + i \sqrt{15}}{2}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₄₂	4	4	-2	4	-2	4	4	4	4	-1	-1	-2	$\frac{1 + i \sqrt{15}}{2}$	$\frac{1 - i \sqrt{15}}{2}$	-2	-2	$\frac{1 + i \sqrt{15}}{2}$	$\frac{1 - i \sqrt{15}}{2}$	0	0	-2	-2	-1	-1	-1	$\frac{1 + i \sqrt{15}}{2}$	$\frac{1 - i \sqrt{15}}{2}$	$\frac{1 + i \sqrt{15}}{2}$	$\frac{1 - i \sqrt{15}}{2}$	$\frac{1 + i \sqrt{15}}{2}$	$\frac{1 - i \sqrt{15}}{2}$	0	0	0	0	0	0	0	0	0	-1	-1	$\frac{1 + i \sqrt{15}}{2}$	$\frac{1 - i \sqrt{15}}{2}$	$\frac{1 + i \sqrt{15}}{2}$	$\frac{1 - i \sqrt{15}}{2}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₄₃	4	4	-2	4	-2	4	4	-4	-4	-1	-1	-2	$\frac{1 - i \sqrt{15}}{2}$	$\frac{1 + i \sqrt{15}}{2}$	-2	-2	$\frac{1 - i \sqrt{15}}{2}$	$\frac{1 + i \sqrt{15}}{2}$	0	0	2	2	-1	-1	-1	$\frac{1 - i \sqrt{15}}{2}$	$\frac{1 + i \sqrt{15}}{2}$	$\frac{1 - i \sqrt{15}}{2}$	$\frac{1 + i \sqrt{15}}{2}$	$\frac{1 - i \sqrt{15}}{2}$	$\frac{1 + i \sqrt{15}}{2}$	0	0	0	0	0	0	0	0	0	1	1	$\frac{- 1 + i \sqrt{15}}{2}$	$\frac{- 1 - i \sqrt{15}}{2}$	$\frac{- 1 + i \sqrt{15}}{2}$	$\frac{- 1 - i \sqrt{15}}{2}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₄₄	4	4	-2	4	-2	4	4	-4	-4	-1	-1	-2	$\frac{1 + i \sqrt{15}}{2}$	$\frac{1 - i \sqrt{15}}{2}$	-2	-2	$\frac{1 + i \sqrt{15}}{2}$	$\frac{1 - i \sqrt{15}}{2}$	0	0	2	2	-1	-1	-1	$\frac{1 + i \sqrt{15}}{2}$	$\frac{1 - i \sqrt{15}}{2}$	$\frac{1 + i \sqrt{15}}{2}$	$\frac{1 - i \sqrt{15}}{2}$	$\frac{1 + i \sqrt{15}}{2}$	$\frac{1 - i \sqrt{15}}{2}$	0	0	0	0	0	0	0	0	0	1	1	$\frac{- 1 - i \sqrt{15}}{2}$	$\frac{- 1 + i \sqrt{15}}{2}$	$\frac{- 1 - i \sqrt{15}}{2}$	$\frac{- 1 + i \sqrt{15}}{2}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₄₅	4	4	-2	4	-2	-4	-4	4	-4	-1	-1	-2	$\frac{1 - i \sqrt{15}}{2}$	$\frac{1 + i \sqrt{15}}{2}$	2	2	$\frac{1 - i \sqrt{15}}{2}$	$\frac{1 + i \sqrt{15}}{2}$	0	0	-2	2	-1	1	1	$\frac{1 - i \sqrt{15}}{2}$	$\frac{1 + i \sqrt{15}}{2}$	$\frac{- 1 + i \sqrt{15}}{2}$	$\frac{- 1 - i \sqrt{15}}{2}$	$\frac{- 1 + i \sqrt{15}}{2}$	$\frac{- 1 - i \sqrt{15}}{2}$	0	0	0	0	0	0	0	0	0	-1	1	$\frac{1 - i \sqrt{15}}{2}$	$\frac{1 + i \sqrt{15}}{2}$	$\frac{- 1 + i \sqrt{15}}{2}$	$\frac{- 1 - i \sqrt{15}}{2}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₄₆	4	4	-2	4	-2	-4	-4	4	-4	-1	-1	-2	$\frac{1 + i \sqrt{15}}{2}$	$\frac{1 - i \sqrt{15}}{2}$	2	2	$\frac{1 + i \sqrt{15}}{2}$	$\frac{1 - i \sqrt{15}}{2}$	0	0	-2	2	-1	1	1	$\frac{1 + i \sqrt{15}}{2}$	$\frac{1 - i \sqrt{15}}{2}$	$\frac{- 1 - i \sqrt{15}}{2}$	$\frac{- 1 + i \sqrt{15}}{2}$	$\frac{- 1 - i \sqrt{15}}{2}$	$\frac{- 1 + i \sqrt{15}}{2}$	0	0	0	0	0	0	0	0	0	-1	1	$\frac{1 + i \sqrt{15}}{2}$	$\frac{1 - i \sqrt{15}}{2}$	$\frac{- 1 - i \sqrt{15}}{2}$	$\frac{- 1 + i \sqrt{15}}{2}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₄₇	4	4	-2	4	-2	-4	-4	-4	4	-1	-1	-2	$\frac{1 - i \sqrt{15}}{2}$	$\frac{1 + i \sqrt{15}}{2}$	2	2	$\frac{1 - i \sqrt{15}}{2}$	$\frac{1 + i \sqrt{15}}{2}$	0	0	2	-2	-1	1	1	$\frac{1 - i \sqrt{15}}{2}$	$\frac{1 + i \sqrt{15}}{2}$	$\frac{- 1 + i \sqrt{15}}{2}$	$\frac{- 1 - i \sqrt{15}}{2}$	$\frac{- 1 + i \sqrt{15}}{2}$	$\frac{- 1 - i \sqrt{15}}{2}$	0	0	0	0	0	0	0	0	0	1	-1	$\frac{- 1 + i \sqrt{15}}{2}$	$\frac{- 1 - i \sqrt{15}}{2}$	$\frac{1 - i \sqrt{15}}{2}$	$\frac{1 + i \sqrt{15}}{2}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₄₈	4	4	-2	4	-2	-4	-4	-4	4	-1	-1	-2	$\frac{1 + i \sqrt{15}}{2}$	$\frac{1 - i \sqrt{15}}{2}$	2	2	$\frac{1 + i \sqrt{15}}{2}$	$\frac{1 - i \sqrt{15}}{2}$	0	0	2	-2	-1	1	1	$\frac{1 + i \sqrt{15}}{2}$	$\frac{1 - i \sqrt{15}}{2}$	$\frac{- 1 - i \sqrt{15}}{2}$	$\frac{- 1 + i \sqrt{15}}{2}$	$\frac{- 1 - i \sqrt{15}}{2}$	$\frac{- 1 + i \sqrt{15}}{2}$	0	0	0	0	0	0	0	0	0	1	-1	$\frac{- 1 - i \sqrt{15}}{2}$	$\frac{- 1 + i \sqrt{15}}{2}$	$\frac{1 + i \sqrt{15}}{2}$	$\frac{1 - i \sqrt{15}}{2}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₄₉	4	4	-2	-4	-2	0	0	0	0	4	4	2	-2	-2	0	0	-2	-2	4	4	0	0	-4	0	0	2	2	0	0	0	0	-4	0	0	-2	-2	0	0	0	0	0	0	0	0	0	0	0	0	2	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₅₀	4	4	-2	-4	-2	0	0	0	0	4	4	2	-2	-2	0	0	-2	-2	-4	-4	0	0	-4	0	0	2	2	0	0	0	0	4	0	0	2	2	0	0	0	0	0	0	0	0	0	0	0	0	-2	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₅₁	4	-4	-2	0	2	$2 \sqrt{2}$	$- 2 \sqrt{2}$	0	0	4	-4	0	-2	-2	$- \sqrt{2}$	$\sqrt{2}$	2	2	$4 i$	$- 4 i$	0	0	0	$2 \sqrt{2}$	$- 2 \sqrt{2}$	0	0	$- \sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	0	$- 2 i \sqrt{2}$	$2 i \sqrt{2}$	$- 2 i$	$2 i$	0	0	0	0	0	0	0	0	0	0	0	0	0	$i \sqrt{2}$	$- i \sqrt{2}$	0	0	0	0	0	0	0	0	0	0	0	0
χ₅₂	4	-4	-2	0	2	$2 \sqrt{2}$	$- 2 \sqrt{2}$	0	0	4	-4	0	-2	-2	$- \sqrt{2}$	$\sqrt{2}$	2	2	$- 4 i$	$4 i$	0	0	0	$2 \sqrt{2}$	$- 2 \sqrt{2}$	0	0	$- \sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	0	$2 i \sqrt{2}$	$- 2 i \sqrt{2}$	$2 i$	$- 2 i$	0	0	0	0	0	0	0	0	0	0	0	0	0	$- i \sqrt{2}$	$i \sqrt{2}$	0	0	0	0	0	0	0	0	0	0	0	0
χ₅₃	4	-4	-2	0	2	$- 2 \sqrt{2}$	$2 \sqrt{2}$	0	0	4	-4	0	-2	-2	$\sqrt{2}$	$- \sqrt{2}$	2	2	$4 i$	$- 4 i$	0	0	0	$- 2 \sqrt{2}$	$2 \sqrt{2}$	0	0	$\sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	0	$2 i \sqrt{2}$	$- 2 i \sqrt{2}$	$- 2 i$	$2 i$	0	0	0	0	0	0	0	0	0	0	0	0	0	$- i \sqrt{2}$	$i \sqrt{2}$	0	0	0	0	0	0	0	0	0	0	0	0
χ₅₄	4	-4	-2	0	2	$- 2 \sqrt{2}$	$2 \sqrt{2}$	0	0	4	-4	0	-2	-2	$\sqrt{2}$	$- \sqrt{2}$	2	2	$- 4 i$	$4 i$	0	0	0	$- 2 \sqrt{2}$	$2 \sqrt{2}$	0	0	$\sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	0	$- 2 i \sqrt{2}$	$2 i \sqrt{2}$	$2 i$	$- 2 i$	0	0	0	0	0	0	0	0	0	0	0	0	0	$i \sqrt{2}$	$- i \sqrt{2}$	0	0	0	0	0	0	0	0	0	0	0	0
χ₅₅	8	8	8	-8	8	0	0	0	0	-2	-2	-8	-2	-2	0	0	-2	-2	0	0	0	0	2	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	0	0	0	0	0
χ₅₆	8	8	-4	-8	-4	0	0	0	0	-2	-2	4	$1 - i \sqrt{15}$	$1 + i \sqrt{15}$	0	0	$1 - i \sqrt{15}$	$1 + i \sqrt{15}$	0	0	0	0	2	0	0	$- 1 + i \sqrt{15}$	$- 1 - i \sqrt{15}$	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	0	0	0
χ₅₇	8	8	-4	-8	-4	0	0	0	0	-2	-2	4	$1 + i \sqrt{15}$	$1 - i \sqrt{15}$	0	0	$1 + i \sqrt{15}$	$1 - i \sqrt{15}$	0	0	0	0	2	0	0	$- 1 - i \sqrt{15}$	$- 1 + i \sqrt{15}$	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	0	0	0
χ₅₈	8	-8	8	0	-8	$4 \sqrt{2}$	$- 4 \sqrt{2}$	0	0	-2	2	0	-2	-2	$4 \sqrt{2}$	$- 4 \sqrt{2}$	2	2	0	0	0	0	0	$- \sqrt{2}$	$\sqrt{2}$	0	0	$- \sqrt{2}$	$- \sqrt{2}$	$\sqrt{2}$	$\sqrt{2}$	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
χ₅₉	8	-8	8	0	-8	$- 4 \sqrt{2}$	$4 \sqrt{2}$	0	0	-2	2	0	-2	-2	$- 4 \sqrt{2}$	$4 \sqrt{2}$	2	2	0	0	0	0	0	$\sqrt{2}$	$- \sqrt{2}$	0	0	$\sqrt{2}$	$\sqrt{2}$	$- \sqrt{2}$	$- \sqrt{2}$	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
χ₆₀	8	-8	-4	0	4	$4 \sqrt{2}$	$- 4 \sqrt{2}$	0	0	-2	2	0	$1 - i \sqrt{15}$	$1 + i \sqrt{15}$	$- 2 \sqrt{2}$	$2 \sqrt{2}$	$- 1 + i \sqrt{15}$	$- 1 - i \sqrt{15}$	0	0	0	0	0	$- \sqrt{2}$	$\sqrt{2}$	0	0	ζ⁷−ζ¹³−ζ²⁹−ζ³⁷+ζ⁷¹−ζ¹⁰¹+ζ¹⁰³+ζ¹¹⁹	ζ²³+ζ³¹+ζ⁴⁷−ζ⁵³−ζ⁶¹−ζ⁷⁷+ζ⁷⁹−ζ¹⁰⁹	−ζ⁷+ζ¹³+ζ²⁹+ζ³⁷−ζ⁷¹+ζ¹⁰¹−ζ¹⁰³−ζ¹¹⁹	−ζ²³−ζ³¹−ζ⁴⁷+ζ⁵³+ζ⁶¹+ζ⁷⁷−ζ⁷⁹+ζ¹⁰⁹	0	0	0	0	0	0	0	0	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	-4	0	4	$4 \sqrt{2}$	$- 4 \sqrt{2}$	0	0	-2	2	0	$1 + i \sqrt{15}$	$1 - i \sqrt{15}$	$- 2 \sqrt{2}$	$2 \sqrt{2}$	$- 1 - i \sqrt{15}$	$- 1 + i \sqrt{15}$	0	0	0	0	0	$- \sqrt{2}$	$\sqrt{2}$	0	0	ζ²³+ζ³¹+ζ⁴⁷−ζ⁵³−ζ⁶¹−ζ⁷⁷+ζ⁷⁹−ζ¹⁰⁹	ζ⁷−ζ¹³−ζ²⁹−ζ³⁷+ζ⁷¹−ζ¹⁰¹+ζ¹⁰³+ζ¹¹⁹	−ζ²³−ζ³¹−ζ⁴⁷+ζ⁵³+ζ⁶¹+ζ⁷⁷−ζ⁷⁹+ζ¹⁰⁹	−ζ⁷+ζ¹³+ζ²⁹+ζ³⁷−ζ⁷¹+ζ¹⁰¹−ζ¹⁰³−ζ¹¹⁹	0	0	0	0	0	0	0	0	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	-4	0	4	$- 4 \sqrt{2}$	$4 \sqrt{2}$	0	0	-2	2	0	$1 - i \sqrt{15}$	$1 + i \sqrt{15}$	$2 \sqrt{2}$	$- 2 \sqrt{2}$	$- 1 + i \sqrt{15}$	$- 1 - i \sqrt{15}$	0	0	0	0	0	$\sqrt{2}$	$- \sqrt{2}$	0	0	−ζ⁷+ζ¹³+ζ²⁹+ζ³⁷−ζ⁷¹+ζ¹⁰¹−ζ¹⁰³−ζ¹¹⁹	−ζ²³−ζ³¹−ζ⁴⁷+ζ⁵³+ζ⁶¹+ζ⁷⁷−ζ⁷⁹+ζ¹⁰⁹	ζ⁷−ζ¹³−ζ²⁹−ζ³⁷+ζ⁷¹−ζ¹⁰¹+ζ¹⁰³+ζ¹¹⁹	ζ²³+ζ³¹+ζ⁴⁷−ζ⁵³−ζ⁶¹−ζ⁷⁷+ζ⁷⁹−ζ¹⁰⁹	0	0	0	0	0	0	0	0	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	-4	0	4	$- 4 \sqrt{2}$	$4 \sqrt{2}$	0	0	-2	2	0	$1 + i \sqrt{15}$	$1 - i \sqrt{15}$	$2 \sqrt{2}$	$- 2 \sqrt{2}$	$- 1 - i \sqrt{15}$	$- 1 + i \sqrt{15}$	0	0	0	0	0	$\sqrt{2}$	$- \sqrt{2}$	0	0	−ζ²³−ζ³¹−ζ⁴⁷+ζ⁵³+ζ⁶¹+ζ⁷⁷−ζ⁷⁹+ζ¹⁰⁹	−ζ⁷+ζ¹³+ζ²⁹+ζ³⁷−ζ⁷¹+ζ¹⁰¹−ζ¹⁰³−ζ¹¹⁹	ζ²³+ζ³¹+ζ⁴⁷−ζ⁵³−ζ⁶¹−ζ⁷⁷+ζ⁷⁹−ζ¹⁰⁹	ζ⁷−ζ¹³−ζ²⁹−ζ³⁷+ζ⁷¹−ζ¹⁰¹+ζ¹⁰³+ζ¹¹⁹	0	0	0	0	0	0	0	0	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 #11752391