Group #11752355 — 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	1	1	2	2	2	2	2	2	4	4	4	4	4	4	4	4	4	4	4	4	4	4	4	4	4	4	4	4	5	5	5	5	8	8	8	8	8	8	8	8	8	8	8	8	8	8	8	8	8	8	10	10	10	10	10	10	20	20	20	20	20	20	20	20	30	30	30	30	30	30	30	30	60	60	60	60
order	1	2	2	2	2	2	3	6	6	6	4	4	5	6	6	10	10	10	12	12	12	12	15	15	30	30	30	30	30	30	4	4	4	4	10	10	20	20	20	20	30	30	30	30	60	60	60	60	60	60	60	60	4	4	12	12	12	12	4	4	12	12	12	12	12	12	8	8	8	8	8	8	8	8	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	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	$i$	$i$	$i$	$i$	$- i$	$- i$	$- i$	$- i$	$i$	$i$	$- i$	$- i$
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	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	$- i$	$- i$	$- i$	$- i$	$i$	$i$	$i$	$i$	$- i$	$- i$	$i$	$i$
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	-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	-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	-1	-1	-1	-1	1	1	1	1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	1	1	1	1	1	1	-1	-1	$i$	$i$	$i$	$i$	$- i$	$- i$	$- i$	$- i$	$- i$	$- i$	$i$	$i$
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	-1	-1	-1	-1	-1	-1	-1	-1	1	1	1	1	1	1	-1	-1	$- i$	$- i$	$- i$	$- i$	$i$	$i$	$i$	$i$	$i$	$i$	$- i$	$- i$
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	$i$	$i$	$- i$	$- i$	$- i$	$- i$	$i$	$i$	$i$	$- i$	$- i$	$i$
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	1	1	-1	-1	-1	-1	-1	-1	1	1	1	1	-1	-1	-1	-1	1	1	-1	-1	-1	-1	-1	1	-1	-1	1	1	1	1	$- i$	$- i$	$i$	$i$	$i$	$i$	$- i$	$- i$	$- i$	$i$	$i$	$- i$
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	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	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	-1	-1	1	1	-1	-1	-1	-1	-1	-1	-1	-1	1	1	1	1	1	1	-1	-1	-1	-1	1	-1	1	1	-1	-1	1	1	$i$	$i$	$- i$	$- i$	$- i$	$- i$	$i$	$i$	$- i$	$i$	$i$	$- i$
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	-1	1	1	1	1	1	1	-1	-1	-1	-1	1	-1	1	1	-1	-1	1	1	$- i$	$- i$	$i$	$i$	$i$	$i$	$- i$	$- i$	$i$	$- i$	$- i$	$i$
χ₁₇	2	2	2	2	2	2	-1	-1	-1	-1	2	2	2	-1	-1	2	2	2	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	2	2	2	2	2	2	2	2	2	2	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	2	2	-1	-1	-1	-1	2	2	-1	-1	-1	-1	-1	-1	0	0	0	0	0	0	0	0	0	0	0	0
χ₁₈	2	2	2	2	2	2	-1	-1	-1	-1	2	2	2	-1	-1	2	2	2	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-2	-2	-2	-2	2	2	2	2	2	2	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-2	-2	1	1	1	1	-2	-2	1	1	1	1	1	1	0	0	0	0	0	0	0	0	0	0	0	0
χ₁₉	2	2	2	2	2	2	-1	-1	-1	-1	-2	-2	2	-1	-1	2	2	2	1	1	1	1	-1	-1	-1	-1	-1	-1	-1	-1	2	2	2	2	2	2	-2	-2	-2	-2	-1	-1	-1	-1	1	1	1	1	1	1	1	1	2	2	-1	-1	-1	-1	-2	-2	1	1	1	1	-1	-1	0	0	0	0	0	0	0	0	0	0	0	0
χ₂₀	2	2	2	2	2	2	-1	-1	-1	-1	-2	-2	2	-1	-1	2	2	2	1	1	1	1	-1	-1	-1	-1	-1	-1	-1	-1	-2	-2	-2	-2	2	2	-2	-2	-2	-2	-1	-1	-1	-1	1	1	1	1	1	1	1	1	-2	-2	1	1	1	1	2	2	-1	-1	-1	-1	1	1	0	0	0	0	0	0	0	0	0	0	0	0
χ₂₁	2	2	2	2	-2	-2	-1	-1	-1	-1	2	-2	2	1	1	2	2	2	-1	-1	1	1	-1	-1	-1	-1	-1	-1	-1	-1	2	2	2	2	-2	-2	2	2	-2	-2	1	1	1	1	-1	-1	-1	-1	1	1	1	1	-2	-2	-1	-1	-1	-1	2	-2	-1	-1	1	1	1	1	0	0	0	0	0	0	0	0	0	0	0	0
χ₂₂	2	2	2	2	-2	-2	-1	-1	-1	-1	2	-2	2	1	1	2	2	2	-1	-1	1	1	-1	-1	-1	-1	-1	-1	-1	-1	-2	-2	-2	-2	-2	-2	2	2	-2	-2	1	1	1	1	-1	-1	-1	-1	1	1	1	1	2	2	1	1	1	1	-2	2	1	1	-1	-1	-1	-1	0	0	0	0	0	0	0	0	0	0	0	0
χ₂₃	2	2	2	2	-2	-2	-1	-1	-1	-1	-2	2	2	1	1	2	2	2	1	1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	2	2	2	2	-2	-2	-2	-2	2	2	1	1	1	1	1	1	1	1	-1	-1	-1	-1	-2	-2	-1	-1	-1	-1	-2	2	1	1	-1	-1	1	1	0	0	0	0	0	0	0	0	0	0	0	0
χ₂₄	2	2	2	2	-2	-2	-1	-1	-1	-1	-2	2	2	1	1	2	2	2	1	1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-2	-2	-2	-2	-2	-2	-2	-2	2	2	1	1	1	1	1	1	1	1	-1	-1	-1	-1	2	2	1	1	1	1	2	-2	-1	-1	1	1	-1	-1	0	0	0	0	0	0	0	0	0	0	0	0
χ₂₅	2	2	-2	-2	0	0	2	2	-2	-2	0	0	2	0	0	-2	2	-2	0	0	0	0	2	2	-2	-2	2	2	-2	-2	$2 i$	$- 2 i$	$2 i$	$- 2 i$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	$2 i$	$2 i$	$- 2 i$	$- 2 i$	0	0	0	0	0	0	0	0	0	0	2ζ⁷+2ζ²³+2ζ³¹+2ζ⁴⁷+2ζ⁷¹+2ζ⁷⁹+2ζ¹⁰³+2ζ¹¹⁹	−2ζ⁷−2ζ²³−2ζ³¹−2ζ⁴⁷−2ζ⁷¹−2ζ⁷⁹−2ζ¹⁰³−2ζ¹¹⁹	0	0	−2ζ¹³−2ζ²⁹−2ζ³⁷−2ζ⁵³−2ζ⁶¹−2ζ⁷⁷−2ζ¹⁰¹−2ζ¹⁰⁹	2ζ¹³+2ζ²⁹+2ζ³⁷+2ζ⁵³+2ζ⁶¹+2ζ⁷⁷+2ζ¹⁰¹+2ζ¹⁰⁹	0	0	0	0
χ₂₆	2	2	-2	-2	0	0	2	2	-2	-2	0	0	2	0	0	-2	2	-2	0	0	0	0	2	2	-2	-2	2	2	-2	-2	$2 i$	$- 2 i$	$2 i$	$- 2 i$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	$2 i$	$2 i$	$- 2 i$	$- 2 i$	0	0	0	0	0	0	0	0	0	0	−2ζ⁷−2ζ²³−2ζ³¹−2ζ⁴⁷−2ζ⁷¹−2ζ⁷⁹−2ζ¹⁰³−2ζ¹¹⁹	2ζ⁷+2ζ²³+2ζ³¹+2ζ⁴⁷+2ζ⁷¹+2ζ⁷⁹+2ζ¹⁰³+2ζ¹¹⁹	0	0	2ζ¹³+2ζ²⁹+2ζ³⁷+2ζ⁵³+2ζ⁶¹+2ζ⁷⁷+2ζ¹⁰¹+2ζ¹⁰⁹	−2ζ¹³−2ζ²⁹−2ζ³⁷−2ζ⁵³−2ζ⁶¹−2ζ⁷⁷−2ζ¹⁰¹−2ζ¹⁰⁹	0	0	0	0
χ₂₇	2	2	-2	-2	0	0	2	2	-2	-2	0	0	2	0	0	-2	2	-2	0	0	0	0	2	2	-2	-2	2	2	-2	-2	$- 2 i$	$2 i$	$- 2 i$	$2 i$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	$- 2 i$	$- 2 i$	$2 i$	$2 i$	0	0	0	0	0	0	0	0	0	0	−2ζ¹³−2ζ²⁹−2ζ³⁷−2ζ⁵³−2ζ⁶¹−2ζ⁷⁷−2ζ¹⁰¹−2ζ¹⁰⁹	2ζ¹³+2ζ²⁹+2ζ³⁷+2ζ⁵³+2ζ⁶¹+2ζ⁷⁷+2ζ¹⁰¹+2ζ¹⁰⁹	0	0	2ζ⁷+2ζ²³+2ζ³¹+2ζ⁴⁷+2ζ⁷¹+2ζ⁷⁹+2ζ¹⁰³+2ζ¹¹⁹	−2ζ⁷−2ζ²³−2ζ³¹−2ζ⁴⁷−2ζ⁷¹−2ζ⁷⁹−2ζ¹⁰³−2ζ¹¹⁹	0	0	0	0
χ₂₈	2	2	-2	-2	0	0	2	2	-2	-2	0	0	2	0	0	-2	2	-2	0	0	0	0	2	2	-2	-2	2	2	-2	-2	$- 2 i$	$2 i$	$- 2 i$	$2 i$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	$- 2 i$	$- 2 i$	$2 i$	$2 i$	0	0	0	0	0	0	0	0	0	0	2ζ¹³+2ζ²⁹+2ζ³⁷+2ζ⁵³+2ζ⁶¹+2ζ⁷⁷+2ζ¹⁰¹+2ζ¹⁰⁹	−2ζ¹³−2ζ²⁹−2ζ³⁷−2ζ⁵³−2ζ⁶¹−2ζ⁷⁷−2ζ¹⁰¹−2ζ¹⁰⁹	0	0	−2ζ⁷−2ζ²³−2ζ³¹−2ζ⁴⁷−2ζ⁷¹−2ζ⁷⁹−2ζ¹⁰³−2ζ¹¹⁹	2ζ⁷+2ζ²³+2ζ³¹+2ζ⁴⁷+2ζ⁷¹+2ζ⁷⁹+2ζ¹⁰³+2ζ¹¹⁹	0	0	0	0
χ₂₉	2	-2	2	-2	0	0	2	-2	2	-2	0	0	2	0	0	-2	-2	2	0	0	0	0	2	2	-2	-2	-2	-2	2	2	$2 i$	$- 2 i$	$- 2 i$	$2 i$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	$2 i$	$- 2 i$	$2 i$	$- 2 i$	0	0	0	0	0	0	0	0	−2ζ¹³−2ζ²⁹−2ζ³⁷−2ζ⁵³−2ζ⁶¹−2ζ⁷⁷−2ζ¹⁰¹−2ζ¹⁰⁹	2ζ¹³+2ζ²⁹+2ζ³⁷+2ζ⁵³+2ζ⁶¹+2ζ⁷⁷+2ζ¹⁰¹+2ζ¹⁰⁹	0	0	2ζ⁷+2ζ²³+2ζ³¹+2ζ⁴⁷+2ζ⁷¹+2ζ⁷⁹+2ζ¹⁰³+2ζ¹¹⁹	−2ζ⁷−2ζ²³−2ζ³¹−2ζ⁴⁷−2ζ⁷¹−2ζ⁷⁹−2ζ¹⁰³−2ζ¹¹⁹	0	0	0	0	0	0
χ₃₀	2	-2	2	-2	0	0	2	-2	2	-2	0	0	2	0	0	-2	-2	2	0	0	0	0	2	2	-2	-2	-2	-2	2	2	$2 i$	$- 2 i$	$- 2 i$	$2 i$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	$2 i$	$- 2 i$	$2 i$	$- 2 i$	0	0	0	0	0	0	0	0	2ζ¹³+2ζ²⁹+2ζ³⁷+2ζ⁵³+2ζ⁶¹+2ζ⁷⁷+2ζ¹⁰¹+2ζ¹⁰⁹	−2ζ¹³−2ζ²⁹−2ζ³⁷−2ζ⁵³−2ζ⁶¹−2ζ⁷⁷−2ζ¹⁰¹−2ζ¹⁰⁹	0	0	−2ζ⁷−2ζ²³−2ζ³¹−2ζ⁴⁷−2ζ⁷¹−2ζ⁷⁹−2ζ¹⁰³−2ζ¹¹⁹	2ζ⁷+2ζ²³+2ζ³¹+2ζ⁴⁷+2ζ⁷¹+2ζ⁷⁹+2ζ¹⁰³+2ζ¹¹⁹	0	0	0	0	0	0
χ₃₁	2	-2	2	-2	0	0	2	-2	2	-2	0	0	2	0	0	-2	-2	2	0	0	0	0	2	2	-2	-2	-2	-2	2	2	$- 2 i$	$2 i$	$2 i$	$- 2 i$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	$- 2 i$	$2 i$	$- 2 i$	$2 i$	0	0	0	0	0	0	0	0	2ζ⁷+2ζ²³+2ζ³¹+2ζ⁴⁷+2ζ⁷¹+2ζ⁷⁹+2ζ¹⁰³+2ζ¹¹⁹	−2ζ⁷−2ζ²³−2ζ³¹−2ζ⁴⁷−2ζ⁷¹−2ζ⁷⁹−2ζ¹⁰³−2ζ¹¹⁹	0	0	−2ζ¹³−2ζ²⁹−2ζ³⁷−2ζ⁵³−2ζ⁶¹−2ζ⁷⁷−2ζ¹⁰¹−2ζ¹⁰⁹	2ζ¹³+2ζ²⁹+2ζ³⁷+2ζ⁵³+2ζ⁶¹+2ζ⁷⁷+2ζ¹⁰¹+2ζ¹⁰⁹	0	0	0	0	0	0
χ₃₂	2	-2	2	-2	0	0	2	-2	2	-2	0	0	2	0	0	-2	-2	2	0	0	0	0	2	2	-2	-2	-2	-2	2	2	$- 2 i$	$2 i$	$2 i$	$- 2 i$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	$- 2 i$	$2 i$	$- 2 i$	$2 i$	0	0	0	0	0	0	0	0	−2ζ⁷−2ζ²³−2ζ³¹−2ζ⁴⁷−2ζ⁷¹−2ζ⁷⁹−2ζ¹⁰³−2ζ¹¹⁹	2ζ⁷+2ζ²³+2ζ³¹+2ζ⁴⁷+2ζ⁷¹+2ζ⁷⁹+2ζ¹⁰³+2ζ¹¹⁹	0	0	2ζ¹³+2ζ²⁹+2ζ³⁷+2ζ⁵³+2ζ⁶¹+2ζ⁷⁷+2ζ¹⁰¹+2ζ¹⁰⁹	−2ζ¹³−2ζ²⁹−2ζ³⁷−2ζ⁵³−2ζ⁶¹−2ζ⁷⁷−2ζ¹⁰¹−2ζ¹⁰⁹	0	0	0	0	0	0
χ₃₃	2	-2	-2	2	2	-2	2	-2	-2	2	0	0	2	2	-2	2	-2	-2	0	0	0	0	2	2	2	2	-2	-2	-2	-2	2	2	-2	-2	2	-2	0	0	0	0	2	2	-2	-2	0	0	0	0	0	0	0	0	2	-2	2	-2	-2	2	0	0	0	0	0	0	2	-2	0	0	0	0	0	0	0	0	0	0	0	0
χ₃₄	2	-2	-2	2	2	-2	2	-2	-2	2	0	0	2	2	-2	2	-2	-2	0	0	0	0	2	2	2	2	-2	-2	-2	-2	-2	-2	2	2	2	-2	0	0	0	0	2	2	-2	-2	0	0	0	0	0	0	0	0	-2	2	-2	2	2	-2	0	0	0	0	0	0	-2	2	0	0	0	0	0	0	0	0	0	0	0	0
χ₃₅	2	-2	-2	2	2	-2	-1	1	1	-1	0	0	2	-1	1	2	-2	-2	$\sqrt{3}$	$- \sqrt{3}$	$\sqrt{3}$	$- \sqrt{3}$	-1	-1	-1	-1	1	1	1	1	2	2	-2	-2	2	-2	0	0	0	0	-1	-1	1	1	$\sqrt{3}$	$\sqrt{3}$	$- \sqrt{3}$	$- \sqrt{3}$	$\sqrt{3}$	$\sqrt{3}$	$- \sqrt{3}$	$- \sqrt{3}$	2	-2	-1	1	1	-1	0	0	$\sqrt{3}$	$- \sqrt{3}$	$\sqrt{3}$	$- \sqrt{3}$	-1	1	0	0	0	0	0	0	0	0	0	0	0	0
χ₃₆	2	-2	-2	2	2	-2	-1	1	1	-1	0	0	2	-1	1	2	-2	-2	$\sqrt{3}$	$- \sqrt{3}$	$\sqrt{3}$	$- \sqrt{3}$	-1	-1	-1	-1	1	1	1	1	-2	-2	2	2	2	-2	0	0	0	0	-1	-1	1	1	$\sqrt{3}$	$\sqrt{3}$	$- \sqrt{3}$	$- \sqrt{3}$	$\sqrt{3}$	$\sqrt{3}$	$- \sqrt{3}$	$- \sqrt{3}$	-2	2	1	-1	-1	1	0	0	$- \sqrt{3}$	$\sqrt{3}$	$- \sqrt{3}$	$\sqrt{3}$	1	-1	0	0	0	0	0	0	0	0	0	0	0	0
χ₃₇	2	-2	-2	2	2	-2	-1	1	1	-1	0	0	2	-1	1	2	-2	-2	$- \sqrt{3}$	$\sqrt{3}$	$- \sqrt{3}$	$\sqrt{3}$	-1	-1	-1	-1	1	1	1	1	2	2	-2	-2	2	-2	0	0	0	0	-1	-1	1	1	$- \sqrt{3}$	$- \sqrt{3}$	$\sqrt{3}$	$\sqrt{3}$	$- \sqrt{3}$	$- \sqrt{3}$	$\sqrt{3}$	$\sqrt{3}$	2	-2	-1	1	1	-1	0	0	$- \sqrt{3}$	$\sqrt{3}$	$- \sqrt{3}$	$\sqrt{3}$	-1	1	0	0	0	0	0	0	0	0	0	0	0	0
χ₃₈	2	-2	-2	2	2	-2	-1	1	1	-1	0	0	2	-1	1	2	-2	-2	$- \sqrt{3}$	$\sqrt{3}$	$- \sqrt{3}$	$\sqrt{3}$	-1	-1	-1	-1	1	1	1	1	-2	-2	2	2	2	-2	0	0	0	0	-1	-1	1	1	$- \sqrt{3}$	$- \sqrt{3}$	$\sqrt{3}$	$\sqrt{3}$	$- \sqrt{3}$	$- \sqrt{3}$	$\sqrt{3}$	$\sqrt{3}$	-2	2	1	-1	-1	1	0	0	$\sqrt{3}$	$- \sqrt{3}$	$\sqrt{3}$	$- \sqrt{3}$	1	-1	0	0	0	0	0	0	0	0	0	0	0	0
χ₃₉	2	-2	-2	2	-2	2	2	-2	-2	2	0	0	2	-2	2	2	-2	-2	0	0	0	0	2	2	2	2	-2	-2	-2	-2	2	2	-2	-2	-2	2	0	0	0	0	-2	-2	2	2	0	0	0	0	0	0	0	0	-2	2	2	-2	-2	2	0	0	0	0	0	0	-2	2	0	0	0	0	0	0	0	0	0	0	0	0
χ₄₀	2	-2	-2	2	-2	2	2	-2	-2	2	0	0	2	-2	2	2	-2	-2	0	0	0	0	2	2	2	2	-2	-2	-2	-2	-2	-2	2	2	-2	2	0	0	0	0	-2	-2	2	2	0	0	0	0	0	0	0	0	2	-2	-2	2	2	-2	0	0	0	0	0	0	2	-2	0	0	0	0	0	0	0	0	0	0	0	0
χ₄₁	2	-2	-2	2	-2	2	-1	1	1	-1	0	0	2	1	-1	2	-2	-2	$\sqrt{3}$	$- \sqrt{3}$	$- \sqrt{3}$	$\sqrt{3}$	-1	-1	-1	-1	1	1	1	1	2	2	-2	-2	-2	2	0	0	0	0	1	1	-1	-1	$\sqrt{3}$	$\sqrt{3}$	$- \sqrt{3}$	$- \sqrt{3}$	$- \sqrt{3}$	$- \sqrt{3}$	$\sqrt{3}$	$\sqrt{3}$	-2	2	-1	1	1	-1	0	0	$\sqrt{3}$	$- \sqrt{3}$	$- \sqrt{3}$	$\sqrt{3}$	1	-1	0	0	0	0	0	0	0	0	0	0	0	0
χ₄₂	2	-2	-2	2	-2	2	-1	1	1	-1	0	0	2	1	-1	2	-2	-2	$\sqrt{3}$	$- \sqrt{3}$	$- \sqrt{3}$	$\sqrt{3}$	-1	-1	-1	-1	1	1	1	1	-2	-2	2	2	-2	2	0	0	0	0	1	1	-1	-1	$\sqrt{3}$	$\sqrt{3}$	$- \sqrt{3}$	$- \sqrt{3}$	$- \sqrt{3}$	$- \sqrt{3}$	$\sqrt{3}$	$\sqrt{3}$	2	-2	1	-1	-1	1	0	0	$- \sqrt{3}$	$\sqrt{3}$	$\sqrt{3}$	$- \sqrt{3}$	-1	1	0	0	0	0	0	0	0	0	0	0	0	0
χ₄₃	2	-2	-2	2	-2	2	-1	1	1	-1	0	0	2	1	-1	2	-2	-2	$- \sqrt{3}$	$\sqrt{3}$	$\sqrt{3}$	$- \sqrt{3}$	-1	-1	-1	-1	1	1	1	1	2	2	-2	-2	-2	2	0	0	0	0	1	1	-1	-1	$- \sqrt{3}$	$- \sqrt{3}$	$\sqrt{3}$	$\sqrt{3}$	$\sqrt{3}$	$\sqrt{3}$	$- \sqrt{3}$	$- \sqrt{3}$	-2	2	-1	1	1	-1	0	0	$- \sqrt{3}$	$\sqrt{3}$	$\sqrt{3}$	$- \sqrt{3}$	1	-1	0	0	0	0	0	0	0	0	0	0	0	0
χ₄₄	2	-2	-2	2	-2	2	-1	1	1	-1	0	0	2	1	-1	2	-2	-2	$- \sqrt{3}$	$\sqrt{3}$	$\sqrt{3}$	$- \sqrt{3}$	-1	-1	-1	-1	1	1	1	1	-2	-2	2	2	-2	2	0	0	0	0	1	1	-1	-1	$- \sqrt{3}$	$- \sqrt{3}$	$\sqrt{3}$	$\sqrt{3}$	$\sqrt{3}$	$\sqrt{3}$	$- \sqrt{3}$	$- \sqrt{3}$	2	-2	1	-1	-1	1	0	0	$\sqrt{3}$	$- \sqrt{3}$	$- \sqrt{3}$	$\sqrt{3}$	-1	1	0	0	0	0	0	0	0	0	0	0	0	0
χ₄₅	4	4	4	4	4	4	4	4	4	4	4	4	-1	4	4	-1	-1	-1	4	4	4	4	-1	-1	-1	-1	-1	-1	-1	-1	0	0	0	0	-1	-1	-1	-1	-1	-1	-1	-1	-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
χ₄₆	4	4	4	4	4	4	4	4	4	4	-4	-4	-1	4	4	-1	-1	-1	-4	-4	-4	-4	-1	-1	-1	-1	-1	-1	-1	-1	0	0	0	0	-1	-1	1	1	1	1	-1	-1	-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
χ₄₇	4	4	4	4	4	4	-2	-2	-2	-2	4	4	-1	-2	-2	-1	-1	-1	-2	-2	-2	-2	$\frac{1 - i \sqrt{15}}{2}$	$\frac{1 + i \sqrt{15}}{2}$	$\frac{1 - i \sqrt{15}}{2}$	$\frac{1 + i \sqrt{15}}{2}$	$\frac{1 - i \sqrt{15}}{2}$	$\frac{1 + i \sqrt{15}}{2}$	$\frac{1 - i \sqrt{15}}{2}$	$\frac{1 + i \sqrt{15}}{2}$	0	0	0	0	-1	-1	-1	-1	-1	-1	$\frac{1 - i \sqrt{15}}{2}$	$\frac{1 + i \sqrt{15}}{2}$	$\frac{1 - i \sqrt{15}}{2}$	$\frac{1 + i \sqrt{15}}{2}$	$\frac{1 - i \sqrt{15}}{2}$	$\frac{1 + i \sqrt{15}}{2}$	$\frac{1 - i \sqrt{15}}{2}$	$\frac{1 + i \sqrt{15}}{2}$	$\frac{1 - i \sqrt{15}}{2}$	$\frac{1 + i \sqrt{15}}{2}$	$\frac{1 - i \sqrt{15}}{2}$	$\frac{1 + i \sqrt{15}}{2}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₄₈	4	4	4	4	4	4	-2	-2	-2	-2	4	4	-1	-2	-2	-1	-1	-1	-2	-2	-2	-2	$\frac{1 + i \sqrt{15}}{2}$	$\frac{1 - i \sqrt{15}}{2}$	$\frac{1 + i \sqrt{15}}{2}$	$\frac{1 - i \sqrt{15}}{2}$	$\frac{1 + i \sqrt{15}}{2}$	$\frac{1 - i \sqrt{15}}{2}$	$\frac{1 + i \sqrt{15}}{2}$	$\frac{1 - i \sqrt{15}}{2}$	0	0	0	0	-1	-1	-1	-1	-1	-1	$\frac{1 + i \sqrt{15}}{2}$	$\frac{1 - i \sqrt{15}}{2}$	$\frac{1 + i \sqrt{15}}{2}$	$\frac{1 - i \sqrt{15}}{2}$	$\frac{1 + i \sqrt{15}}{2}$	$\frac{1 - i \sqrt{15}}{2}$	$\frac{1 + i \sqrt{15}}{2}$	$\frac{1 - i \sqrt{15}}{2}$	$\frac{1 + i \sqrt{15}}{2}$	$\frac{1 - i \sqrt{15}}{2}$	$\frac{1 + i \sqrt{15}}{2}$	$\frac{1 - i \sqrt{15}}{2}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₄₉	4	4	4	4	4	4	-2	-2	-2	-2	-4	-4	-1	-2	-2	-1	-1	-1	2	2	2	2	$\frac{1 - i \sqrt{15}}{2}$	$\frac{1 + i \sqrt{15}}{2}$	$\frac{1 - i \sqrt{15}}{2}$	$\frac{1 + i \sqrt{15}}{2}$	$\frac{1 - i \sqrt{15}}{2}$	$\frac{1 + i \sqrt{15}}{2}$	$\frac{1 - i \sqrt{15}}{2}$	$\frac{1 + i \sqrt{15}}{2}$	0	0	0	0	-1	-1	1	1	1	1	$\frac{1 - i \sqrt{15}}{2}$	$\frac{1 + i \sqrt{15}}{2}$	$\frac{1 - i \sqrt{15}}{2}$	$\frac{1 + i \sqrt{15}}{2}$	$\frac{- 1 + i \sqrt{15}}{2}$	$\frac{- 1 - i \sqrt{15}}{2}$	$\frac{- 1 + i \sqrt{15}}{2}$	$\frac{- 1 - i \sqrt{15}}{2}$	$\frac{- 1 + i \sqrt{15}}{2}$	$\frac{- 1 - i \sqrt{15}}{2}$	$\frac{- 1 + i \sqrt{15}}{2}$	$\frac{- 1 - i \sqrt{15}}{2}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₅₀	4	4	4	4	4	4	-2	-2	-2	-2	-4	-4	-1	-2	-2	-1	-1	-1	2	2	2	2	$\frac{1 + i \sqrt{15}}{2}$	$\frac{1 - i \sqrt{15}}{2}$	$\frac{1 + i \sqrt{15}}{2}$	$\frac{1 - i \sqrt{15}}{2}$	$\frac{1 + i \sqrt{15}}{2}$	$\frac{1 - i \sqrt{15}}{2}$	$\frac{1 + i \sqrt{15}}{2}$	$\frac{1 - i \sqrt{15}}{2}$	0	0	0	0	-1	-1	1	1	1	1	$\frac{1 + i \sqrt{15}}{2}$	$\frac{1 - i \sqrt{15}}{2}$	$\frac{1 + i \sqrt{15}}{2}$	$\frac{1 - i \sqrt{15}}{2}$	$\frac{- 1 - i \sqrt{15}}{2}$	$\frac{- 1 + i \sqrt{15}}{2}$	$\frac{- 1 - i \sqrt{15}}{2}$	$\frac{- 1 + i \sqrt{15}}{2}$	$\frac{- 1 - i \sqrt{15}}{2}$	$\frac{- 1 + i \sqrt{15}}{2}$	$\frac{- 1 - i \sqrt{15}}{2}$	$\frac{- 1 + i \sqrt{15}}{2}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₅₁	4	4	4	4	-4	-4	4	4	4	4	4	-4	-1	-4	-4	-1	-1	-1	4	4	-4	-4	-1	-1	-1	-1	-1	-1	-1	-1	0	0	0	0	1	1	-1	-1	1	1	1	1	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
χ₅₂	4	4	4	4	-4	-4	4	4	4	4	-4	4	-1	-4	-4	-1	-1	-1	-4	-4	4	4	-1	-1	-1	-1	-1	-1	-1	-1	0	0	0	0	1	1	1	1	-1	-1	1	1	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
χ₅₃	4	4	4	4	-4	-4	-2	-2	-2	-2	4	-4	-1	2	2	-1	-1	-1	-2	-2	2	2	$\frac{1 - i \sqrt{15}}{2}$	$\frac{1 + i \sqrt{15}}{2}$	$\frac{1 - i \sqrt{15}}{2}$	$\frac{1 + i \sqrt{15}}{2}$	$\frac{1 - i \sqrt{15}}{2}$	$\frac{1 + i \sqrt{15}}{2}$	$\frac{1 - i \sqrt{15}}{2}$	$\frac{1 + i \sqrt{15}}{2}$	0	0	0	0	1	1	-1	-1	1	1	$\frac{- 1 + i \sqrt{15}}{2}$	$\frac{- 1 - i \sqrt{15}}{2}$	$\frac{- 1 + i \sqrt{15}}{2}$	$\frac{- 1 - i \sqrt{15}}{2}$	$\frac{1 - i \sqrt{15}}{2}$	$\frac{1 + i \sqrt{15}}{2}$	$\frac{1 - i \sqrt{15}}{2}$	$\frac{1 + i \sqrt{15}}{2}$	$\frac{- 1 + i \sqrt{15}}{2}$	$\frac{- 1 - i \sqrt{15}}{2}$	$\frac{- 1 + i \sqrt{15}}{2}$	$\frac{- 1 - i \sqrt{15}}{2}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₅₄	4	4	4	4	-4	-4	-2	-2	-2	-2	4	-4	-1	2	2	-1	-1	-1	-2	-2	2	2	$\frac{1 + i \sqrt{15}}{2}$	$\frac{1 - i \sqrt{15}}{2}$	$\frac{1 + i \sqrt{15}}{2}$	$\frac{1 - i \sqrt{15}}{2}$	$\frac{1 + i \sqrt{15}}{2}$	$\frac{1 - i \sqrt{15}}{2}$	$\frac{1 + i \sqrt{15}}{2}$	$\frac{1 - i \sqrt{15}}{2}$	0	0	0	0	1	1	-1	-1	1	1	$\frac{- 1 - i \sqrt{15}}{2}$	$\frac{- 1 + i \sqrt{15}}{2}$	$\frac{- 1 - i \sqrt{15}}{2}$	$\frac{- 1 + i \sqrt{15}}{2}$	$\frac{1 + i \sqrt{15}}{2}$	$\frac{1 - i \sqrt{15}}{2}$	$\frac{1 + i \sqrt{15}}{2}$	$\frac{1 - i \sqrt{15}}{2}$	$\frac{- 1 - i \sqrt{15}}{2}$	$\frac{- 1 + i \sqrt{15}}{2}$	$\frac{- 1 - i \sqrt{15}}{2}$	$\frac{- 1 + i \sqrt{15}}{2}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₅₅	4	4	4	4	-4	-4	-2	-2	-2	-2	-4	4	-1	2	2	-1	-1	-1	2	2	-2	-2	$\frac{1 - i \sqrt{15}}{2}$	$\frac{1 + i \sqrt{15}}{2}$	$\frac{1 - i \sqrt{15}}{2}$	$\frac{1 + i \sqrt{15}}{2}$	$\frac{1 - i \sqrt{15}}{2}$	$\frac{1 + i \sqrt{15}}{2}$	$\frac{1 - i \sqrt{15}}{2}$	$\frac{1 + i \sqrt{15}}{2}$	0	0	0	0	1	1	1	1	-1	-1	$\frac{- 1 + i \sqrt{15}}{2}$	$\frac{- 1 - i \sqrt{15}}{2}$	$\frac{- 1 + i \sqrt{15}}{2}$	$\frac{- 1 - i \sqrt{15}}{2}$	$\frac{- 1 + i \sqrt{15}}{2}$	$\frac{- 1 - i \sqrt{15}}{2}$	$\frac{- 1 + i \sqrt{15}}{2}$	$\frac{- 1 - i \sqrt{15}}{2}$	$\frac{1 - i \sqrt{15}}{2}$	$\frac{1 + i \sqrt{15}}{2}$	$\frac{1 - i \sqrt{15}}{2}$	$\frac{1 + i \sqrt{15}}{2}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₅₆	4	4	4	4	-4	-4	-2	-2	-2	-2	-4	4	-1	2	2	-1	-1	-1	2	2	-2	-2	$\frac{1 + i \sqrt{15}}{2}$	$\frac{1 - i \sqrt{15}}{2}$	$\frac{1 + i \sqrt{15}}{2}$	$\frac{1 - i \sqrt{15}}{2}$	$\frac{1 + i \sqrt{15}}{2}$	$\frac{1 - i \sqrt{15}}{2}$	$\frac{1 + i \sqrt{15}}{2}$	$\frac{1 - i \sqrt{15}}{2}$	0	0	0	0	1	1	1	1	-1	-1	$\frac{- 1 - i \sqrt{15}}{2}$	$\frac{- 1 + i \sqrt{15}}{2}$	$\frac{- 1 - i \sqrt{15}}{2}$	$\frac{- 1 + i \sqrt{15}}{2}$	$\frac{- 1 - i \sqrt{15}}{2}$	$\frac{- 1 + i \sqrt{15}}{2}$	$\frac{- 1 - i \sqrt{15}}{2}$	$\frac{- 1 + i \sqrt{15}}{2}$	$\frac{1 + i \sqrt{15}}{2}$	$\frac{1 - i \sqrt{15}}{2}$	$\frac{1 + i \sqrt{15}}{2}$	$\frac{1 - i \sqrt{15}}{2}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₅₇	4	4	-4	-4	0	0	-2	-2	2	2	0	0	4	0	0	-4	4	-4	0	0	0	0	-2	-2	2	2	-2	-2	2	2	$4 i$	$- 4 i$	$4 i$	$- 4 i$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	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	0	0	0	0
χ₅₈	4	4	-4	-4	0	0	-2	-2	2	2	0	0	4	0	0	-4	4	-4	0	0	0	0	-2	-2	2	2	-2	-2	2	2	$- 4 i$	$4 i$	$- 4 i$	$4 i$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	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	0	0	0	0
χ₅₉	4	-4	4	-4	0	0	-2	2	-2	2	0	0	4	0	0	-4	-4	4	0	0	0	0	-2	-2	2	2	2	2	-2	-2	$4 i$	$- 4 i$	$- 4 i$	$4 i$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	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	0	0	0	0
χ₆₀	4	-4	4	-4	0	0	-2	2	-2	2	0	0	4	0	0	-4	-4	4	0	0	0	0	-2	-2	2	2	2	2	-2	-2	$- 4 i$	$4 i$	$4 i$	$- 4 i$	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	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	0	0	0	0
χ₆₁	4	-4	-4	4	4	-4	4	-4	-4	4	0	0	-1	4	-4	-1	1	1	0	0	0	0	-1	-1	-1	-1	1	1	1	1	0	0	0	0	-1	1	$- i \sqrt{5}$	$i \sqrt{5}$	$- i \sqrt{5}$	$i \sqrt{5}$	-1	-1	1	1	$- i \sqrt{5}$	$i \sqrt{5}$	$i \sqrt{5}$	$- i \sqrt{5}$	$- i \sqrt{5}$	$i \sqrt{5}$	$i \sqrt{5}$	$- i \sqrt{5}$	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
χ₆₂	4	-4	-4	4	4	-4	4	-4	-4	4	0	0	-1	4	-4	-1	1	1	0	0	0	0	-1	-1	-1	-1	1	1	1	1	0	0	0	0	-1	1	$i \sqrt{5}$	$- i \sqrt{5}$	$i \sqrt{5}$	$- i \sqrt{5}$	-1	-1	1	1	$i \sqrt{5}$	$- i \sqrt{5}$	$- i \sqrt{5}$	$i \sqrt{5}$	$i \sqrt{5}$	$- i \sqrt{5}$	$- i \sqrt{5}$	$i \sqrt{5}$	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
χ₆₃	4	-4	-4	4	4	-4	-2	2	2	-2	0	0	-1	-2	2	-1	1	1	$2 \sqrt{3}$	$- 2 \sqrt{3}$	$2 \sqrt{3}$	$- 2 \sqrt{3}$	$\frac{1 - i \sqrt{15}}{2}$	$\frac{1 + i \sqrt{15}}{2}$	$\frac{1 - i \sqrt{15}}{2}$	$\frac{1 + i \sqrt{15}}{2}$	$\frac{- 1 + i \sqrt{15}}{2}$	$\frac{- 1 - i \sqrt{15}}{2}$	$\frac{- 1 + i \sqrt{15}}{2}$	$\frac{- 1 - i \sqrt{15}}{2}$	0	0	0	0	-1	1	$i \sqrt{5}$	$- i \sqrt{5}$	$i \sqrt{5}$	$- i \sqrt{5}$	$\frac{1 - i \sqrt{15}}{2}$	$\frac{1 + i \sqrt{15}}{2}$	$\frac{- 1 + i \sqrt{15}}{2}$	$\frac{- 1 - i \sqrt{15}}{2}$	ζ¹⁴−ζ²²+ζ⁸⁶−ζ¹¹⁸	ζ³⁸−ζ⁴⁶+ζ⁶²−ζ⁹⁴	−ζ¹⁴+ζ²²−ζ⁸⁶+ζ¹¹⁸	−ζ³⁸+ζ⁴⁶−ζ⁶²+ζ⁹⁴	ζ¹⁴−ζ²²+ζ⁸⁶−ζ¹¹⁸	ζ³⁸−ζ⁴⁶+ζ⁶²−ζ⁹⁴	−ζ¹⁴+ζ²²−ζ⁸⁶+ζ¹¹⁸	−ζ³⁸+ζ⁴⁶−ζ⁶²+ζ⁹⁴	0	0	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	4	-4	-4	4	4	-4	-2	2	2	-2	0	0	-1	-2	2	-1	1	1	$2 \sqrt{3}$	$- 2 \sqrt{3}$	$2 \sqrt{3}$	$- 2 \sqrt{3}$	$\frac{1 + i \sqrt{15}}{2}$	$\frac{1 - i \sqrt{15}}{2}$	$\frac{1 + i \sqrt{15}}{2}$	$\frac{1 - i \sqrt{15}}{2}$	$\frac{- 1 - i \sqrt{15}}{2}$	$\frac{- 1 + i \sqrt{15}}{2}$	$\frac{- 1 - i \sqrt{15}}{2}$	$\frac{- 1 + i \sqrt{15}}{2}$	0	0	0	0	-1	1	$- i \sqrt{5}$	$i \sqrt{5}$	$- i \sqrt{5}$	$i \sqrt{5}$	$\frac{1 + i \sqrt{15}}{2}$	$\frac{1 - i \sqrt{15}}{2}$	$\frac{- 1 - i \sqrt{15}}{2}$	$\frac{- 1 + i \sqrt{15}}{2}$	ζ³⁸−ζ⁴⁶+ζ⁶²−ζ⁹⁴	ζ¹⁴−ζ²²+ζ⁸⁶−ζ¹¹⁸	−ζ³⁸+ζ⁴⁶−ζ⁶²+ζ⁹⁴	−ζ¹⁴+ζ²²−ζ⁸⁶+ζ¹¹⁸	ζ³⁸−ζ⁴⁶+ζ⁶²−ζ⁹⁴	ζ¹⁴−ζ²²+ζ⁸⁶−ζ¹¹⁸	−ζ³⁸+ζ⁴⁶−ζ⁶²+ζ⁹⁴	−ζ¹⁴+ζ²²−ζ⁸⁶+ζ¹¹⁸	0	0	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	4	-4	-4	4	4	-4	-2	2	2	-2	0	0	-1	-2	2	-1	1	1	$- 2 \sqrt{3}$	$2 \sqrt{3}$	$- 2 \sqrt{3}$	$2 \sqrt{3}$	$\frac{1 - i \sqrt{15}}{2}$	$\frac{1 + i \sqrt{15}}{2}$	$\frac{1 - i \sqrt{15}}{2}$	$\frac{1 + i \sqrt{15}}{2}$	$\frac{- 1 + i \sqrt{15}}{2}$	$\frac{- 1 - i \sqrt{15}}{2}$	$\frac{- 1 + i \sqrt{15}}{2}$	$\frac{- 1 - i \sqrt{15}}{2}$	0	0	0	0	-1	1	$- i \sqrt{5}$	$i \sqrt{5}$	$- i \sqrt{5}$	$i \sqrt{5}$	$\frac{1 - i \sqrt{15}}{2}$	$\frac{1 + i \sqrt{15}}{2}$	$\frac{- 1 + i \sqrt{15}}{2}$	$\frac{- 1 - i \sqrt{15}}{2}$	−ζ¹⁴+ζ²²−ζ⁸⁶+ζ¹¹⁸	−ζ³⁸+ζ⁴⁶−ζ⁶²+ζ⁹⁴	ζ¹⁴−ζ²²+ζ⁸⁶−ζ¹¹⁸	ζ³⁸−ζ⁴⁶+ζ⁶²−ζ⁹⁴	−ζ¹⁴+ζ²²−ζ⁸⁶+ζ¹¹⁸	−ζ³⁸+ζ⁴⁶−ζ⁶²+ζ⁹⁴	ζ¹⁴−ζ²²+ζ⁸⁶−ζ¹¹⁸	ζ³⁸−ζ⁴⁶+ζ⁶²−ζ⁹⁴	0	0	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	4	-4	-4	4	4	-4	-2	2	2	-2	0	0	-1	-2	2	-1	1	1	$- 2 \sqrt{3}$	$2 \sqrt{3}$	$- 2 \sqrt{3}$	$2 \sqrt{3}$	$\frac{1 + i \sqrt{15}}{2}$	$\frac{1 - i \sqrt{15}}{2}$	$\frac{1 + i \sqrt{15}}{2}$	$\frac{1 - i \sqrt{15}}{2}$	$\frac{- 1 - i \sqrt{15}}{2}$	$\frac{- 1 + i \sqrt{15}}{2}$	$\frac{- 1 - i \sqrt{15}}{2}$	$\frac{- 1 + i \sqrt{15}}{2}$	0	0	0	0	-1	1	$i \sqrt{5}$	$- i \sqrt{5}$	$i \sqrt{5}$	$- i \sqrt{5}$	$\frac{1 + i \sqrt{15}}{2}$	$\frac{1 - i \sqrt{15}}{2}$	$\frac{- 1 - i \sqrt{15}}{2}$	$\frac{- 1 + i \sqrt{15}}{2}$	−ζ³⁸+ζ⁴⁶−ζ⁶²+ζ⁹⁴	−ζ¹⁴+ζ²²−ζ⁸⁶+ζ¹¹⁸	ζ³⁸−ζ⁴⁶+ζ⁶²−ζ⁹⁴	ζ¹⁴−ζ²²+ζ⁸⁶−ζ¹¹⁸	−ζ³⁸+ζ⁴⁶−ζ⁶²+ζ⁹⁴	−ζ¹⁴+ζ²²−ζ⁸⁶+ζ¹¹⁸	ζ³⁸−ζ⁴⁶+ζ⁶²−ζ⁹⁴	ζ¹⁴−ζ²²+ζ⁸⁶−ζ¹¹⁸	0	0	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	4	-4	-4	4	-4	4	4	-4	-4	4	0	0	-1	-4	4	-1	1	1	0	0	0	0	-1	-1	-1	-1	1	1	1	1	0	0	0	0	1	-1	$- i \sqrt{5}$	$i \sqrt{5}$	$i \sqrt{5}$	$- i \sqrt{5}$	1	1	-1	-1	$- i \sqrt{5}$	$i \sqrt{5}$	$i \sqrt{5}$	$- i \sqrt{5}$	$i \sqrt{5}$	$- i \sqrt{5}$	$- i \sqrt{5}$	$i \sqrt{5}$	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
χ₆₈	4	-4	-4	4	-4	4	4	-4	-4	4	0	0	-1	-4	4	-1	1	1	0	0	0	0	-1	-1	-1	-1	1	1	1	1	0	0	0	0	1	-1	$i \sqrt{5}$	$- i \sqrt{5}$	$- i \sqrt{5}$	$i \sqrt{5}$	1	1	-1	-1	$i \sqrt{5}$	$- i \sqrt{5}$	$- i \sqrt{5}$	$i \sqrt{5}$	$- i \sqrt{5}$	$i \sqrt{5}$	$i \sqrt{5}$	$- i \sqrt{5}$	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
χ₆₉	4	-4	-4	4	-4	4	-2	2	2	-2	0	0	-1	2	-2	-1	1	1	$2 \sqrt{3}$	$- 2 \sqrt{3}$	$- 2 \sqrt{3}$	$2 \sqrt{3}$	$\frac{1 - i \sqrt{15}}{2}$	$\frac{1 + i \sqrt{15}}{2}$	$\frac{1 - i \sqrt{15}}{2}$	$\frac{1 + i \sqrt{15}}{2}$	$\frac{- 1 + i \sqrt{15}}{2}$	$\frac{- 1 - i \sqrt{15}}{2}$	$\frac{- 1 + i \sqrt{15}}{2}$	$\frac{- 1 - i \sqrt{15}}{2}$	0	0	0	0	1	-1	$i \sqrt{5}$	$- i \sqrt{5}$	$- i \sqrt{5}$	$i \sqrt{5}$	$\frac{- 1 + i \sqrt{15}}{2}$	$\frac{- 1 - i \sqrt{15}}{2}$	$\frac{1 - i \sqrt{15}}{2}$	$\frac{1 + i \sqrt{15}}{2}$	ζ¹⁴−ζ²²+ζ⁸⁶−ζ¹¹⁸	ζ³⁸−ζ⁴⁶+ζ⁶²−ζ⁹⁴	−ζ¹⁴+ζ²²−ζ⁸⁶+ζ¹¹⁸	−ζ³⁸+ζ⁴⁶−ζ⁶²+ζ⁹⁴	−ζ¹⁴+ζ²²−ζ⁸⁶+ζ¹¹⁸	−ζ³⁸+ζ⁴⁶−ζ⁶²+ζ⁹⁴	ζ¹⁴−ζ²²+ζ⁸⁶−ζ¹¹⁸	ζ³⁸−ζ⁴⁶+ζ⁶²−ζ⁹⁴	0	0	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	4	-4	-4	4	-4	4	-2	2	2	-2	0	0	-1	2	-2	-1	1	1	$2 \sqrt{3}$	$- 2 \sqrt{3}$	$- 2 \sqrt{3}$	$2 \sqrt{3}$	$\frac{1 + i \sqrt{15}}{2}$	$\frac{1 - i \sqrt{15}}{2}$	$\frac{1 + i \sqrt{15}}{2}$	$\frac{1 - i \sqrt{15}}{2}$	$\frac{- 1 - i \sqrt{15}}{2}$	$\frac{- 1 + i \sqrt{15}}{2}$	$\frac{- 1 - i \sqrt{15}}{2}$	$\frac{- 1 + i \sqrt{15}}{2}$	0	0	0	0	1	-1	$- i \sqrt{5}$	$i \sqrt{5}$	$i \sqrt{5}$	$- i \sqrt{5}$	$\frac{- 1 - i \sqrt{15}}{2}$	$\frac{- 1 + i \sqrt{15}}{2}$	$\frac{1 + i \sqrt{15}}{2}$	$\frac{1 - i \sqrt{15}}{2}$	ζ³⁸−ζ⁴⁶+ζ⁶²−ζ⁹⁴	ζ¹⁴−ζ²²+ζ⁸⁶−ζ¹¹⁸	−ζ³⁸+ζ⁴⁶−ζ⁶²+ζ⁹⁴	−ζ¹⁴+ζ²²−ζ⁸⁶+ζ¹¹⁸	−ζ³⁸+ζ⁴⁶−ζ⁶²+ζ⁹⁴	−ζ¹⁴+ζ²²−ζ⁸⁶+ζ¹¹⁸	ζ³⁸−ζ⁴⁶+ζ⁶²−ζ⁹⁴	ζ¹⁴−ζ²²+ζ⁸⁶−ζ¹¹⁸	0	0	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	4	-4	-4	4	-4	4	-2	2	2	-2	0	0	-1	2	-2	-1	1	1	$- 2 \sqrt{3}$	$2 \sqrt{3}$	$2 \sqrt{3}$	$- 2 \sqrt{3}$	$\frac{1 - i \sqrt{15}}{2}$	$\frac{1 + i \sqrt{15}}{2}$	$\frac{1 - i \sqrt{15}}{2}$	$\frac{1 + i \sqrt{15}}{2}$	$\frac{- 1 + i \sqrt{15}}{2}$	$\frac{- 1 - i \sqrt{15}}{2}$	$\frac{- 1 + i \sqrt{15}}{2}$	$\frac{- 1 - i \sqrt{15}}{2}$	0	0	0	0	1	-1	$- i \sqrt{5}$	$i \sqrt{5}$	$i \sqrt{5}$	$- i \sqrt{5}$	$\frac{- 1 + i \sqrt{15}}{2}$	$\frac{- 1 - i \sqrt{15}}{2}$	$\frac{1 - i \sqrt{15}}{2}$	$\frac{1 + i \sqrt{15}}{2}$	−ζ¹⁴+ζ²²−ζ⁸⁶+ζ¹¹⁸	−ζ³⁸+ζ⁴⁶−ζ⁶²+ζ⁹⁴	ζ¹⁴−ζ²²+ζ⁸⁶−ζ¹¹⁸	ζ³⁸−ζ⁴⁶+ζ⁶²−ζ⁹⁴	ζ¹⁴−ζ²²+ζ⁸⁶−ζ¹¹⁸	ζ³⁸−ζ⁴⁶+ζ⁶²−ζ⁹⁴	−ζ¹⁴+ζ²²−ζ⁸⁶+ζ¹¹⁸	−ζ³⁸+ζ⁴⁶−ζ⁶²+ζ⁹⁴	0	0	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	4	-4	-4	4	-4	4	-2	2	2	-2	0	0	-1	2	-2	-1	1	1	$- 2 \sqrt{3}$	$2 \sqrt{3}$	$2 \sqrt{3}$	$- 2 \sqrt{3}$	$\frac{1 + i \sqrt{15}}{2}$	$\frac{1 - i \sqrt{15}}{2}$	$\frac{1 + i \sqrt{15}}{2}$	$\frac{1 - i \sqrt{15}}{2}$	$\frac{- 1 - i \sqrt{15}}{2}$	$\frac{- 1 + i \sqrt{15}}{2}$	$\frac{- 1 - i \sqrt{15}}{2}$	$\frac{- 1 + i \sqrt{15}}{2}$	0	0	0	0	1	-1	$i \sqrt{5}$	$- i \sqrt{5}$	$- i \sqrt{5}$	$i \sqrt{5}$	$\frac{- 1 - i \sqrt{15}}{2}$	$\frac{- 1 + i \sqrt{15}}{2}$	$\frac{1 + i \sqrt{15}}{2}$	$\frac{1 - i \sqrt{15}}{2}$	−ζ³⁸+ζ⁴⁶−ζ⁶²+ζ⁹⁴	−ζ¹⁴+ζ²²−ζ⁸⁶+ζ¹¹⁸	ζ³⁸−ζ⁴⁶+ζ⁶²−ζ⁹⁴	ζ¹⁴−ζ²²+ζ⁸⁶−ζ¹¹⁸	ζ³⁸−ζ⁴⁶+ζ⁶²−ζ⁹⁴	ζ¹⁴−ζ²²+ζ⁸⁶−ζ¹¹⁸	−ζ³⁸+ζ⁴⁶−ζ⁶²+ζ⁹⁴	−ζ¹⁴+ζ²²−ζ⁸⁶+ζ¹¹⁸	0	0	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	-8	-8	0	0	8	8	-8	-8	0	0	-2	0	0	2	-2	2	0	0	0	0	-2	-2	2	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	0	0	0
χ₇₄	8	8	-8	-8	0	0	-4	-4	4	4	0	0	-2	0	0	2	-2	2	0	0	0	0	$1 - i \sqrt{15}$	$1 + i \sqrt{15}$	$- 1 + i \sqrt{15}$	$- 1 - i \sqrt{15}$	$1 - i \sqrt{15}$	$1 + i \sqrt{15}$	$- 1 + i \sqrt{15}$	$- 1 - i \sqrt{15}$	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	0	0	0	0	0	0	0	0	0	0	0	0
χ₇₅	8	8	-8	-8	0	0	-4	-4	4	4	0	0	-2	0	0	2	-2	2	0	0	0	0	$1 + i \sqrt{15}$	$1 - i \sqrt{15}$	$- 1 - i \sqrt{15}$	$- 1 + i \sqrt{15}$	$1 + i \sqrt{15}$	$1 - i \sqrt{15}$	$- 1 - i \sqrt{15}$	$- 1 + i \sqrt{15}$	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	0	0	0	0	0	0	0	0	0	0	0	0
χ₇₆	8	-8	8	-8	0	0	8	-8	8	-8	0	0	-2	0	0	2	2	-2	0	0	0	0	-2	-2	2	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	0	0	0
χ₇₇	8	-8	8	-8	0	0	-4	4	-4	4	0	0	-2	0	0	2	2	-2	0	0	0	0	$1 - i \sqrt{15}$	$1 + i \sqrt{15}$	$- 1 + i \sqrt{15}$	$- 1 - i \sqrt{15}$	$- 1 + i \sqrt{15}$	$- 1 - i \sqrt{15}$	$1 - i \sqrt{15}$	$1 + i \sqrt{15}$	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	0	0	0	0	0	0	0	0	0	0	0	0
χ₇₈	8	-8	8	-8	0	0	-4	4	-4	4	0	0	-2	0	0	2	2	-2	0	0	0	0	$1 + i \sqrt{15}$	$1 - i \sqrt{15}$	$- 1 - i \sqrt{15}$	$- 1 + i \sqrt{15}$	$- 1 - i \sqrt{15}$	$- 1 + i \sqrt{15}$	$1 + i \sqrt{15}$	$1 - i \sqrt{15}$	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	0	0	0	0	0	0	0	0	0	0	0	0

Character table — Group #11752355