Group #10624310 — 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
size	1	8	9	12	18	18	18	24	36	1	8	9	12	18	18	18	24	36	1	8	9	12	18	18	18	24	36	1	8	9	12	18	18	18	24	36	1	8	9	12	18	18	18	24	36
order	1	3	2	2	4	8	8	6	4	5	15	10	10	20	40	40	30	20	5	15	10	10	20	40	40	30	20	5	15	10	10	20	40	40	30	20	5	15	10	10	20	40	40	30	20
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
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
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
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
χ₅	2	2	2	0	-2	0	0	0	0	2	2	2	0	-2	0	0	0	0	2	2	2	0	-2	0	0	0	0	2	2	2	0	-2	0	0	0	0	2	2	2	0	-2	0	0	0	0
χ₆	2	2	-2	0	0	$i \sqrt{2}$	$- i \sqrt{2}$	0	0	2	2	-2	0	0	$i \sqrt{2}$	$- i \sqrt{2}$	0	0	2	2	-2	0	0	$i \sqrt{2}$	$- i \sqrt{2}$	0	0	2	2	-2	0	0	$i \sqrt{2}$	$- i \sqrt{2}$	0	0	2	2	-2	0	0	$i \sqrt{2}$	$- i \sqrt{2}$	0	0
χ₇	2	2	-2	0	0	$- i \sqrt{2}$	$i \sqrt{2}$	0	0	2	2	-2	0	0	$- i \sqrt{2}$	$i \sqrt{2}$	0	0	2	2	-2	0	0	$- i \sqrt{2}$	$i \sqrt{2}$	0	0	2	2	-2	0	0	$- i \sqrt{2}$	$i \sqrt{2}$	0	0	2	2	-2	0	0	$- i \sqrt{2}$	$i \sqrt{2}$	0	0
χ₈	8	-1	0	2	0	0	0	-1	0	8	-1	0	2	0	0	0	-1	0	8	-1	0	2	0	0	0	-1	0	8	-1	0	2	0	0	0	-1	0	8	-1	0	2	0	0	0	-1	0
χ₉	8	-1	0	-2	0	0	0	1	0	8	-1	0	-2	0	0	0	1	0	8	-1	0	-2	0	0	0	1	0	8	-1	0	-2	0	0	0	1	0	8	-1	0	-2	0	0	0	1	0
χ₁₀	1	1	1	1	1	1	1	1	1	−ζ²⁸	−ζ²⁸	−ζ²⁸	−ζ²⁸	−ζ²⁸	−ζ²⁸	−ζ²⁸	−ζ²⁸	−ζ²⁸	−ζ³⁶	−ζ³⁶	−ζ³⁶	−ζ³⁶	−ζ³⁶	−ζ³⁶	−ζ³⁶	−ζ³⁶	−ζ³⁶	−ζ⁴	−ζ⁴	−ζ⁴	−ζ⁴	−ζ⁴	−ζ⁴	−ζ⁴	−ζ⁴	−ζ⁴	−ζ¹²	−ζ¹²	−ζ¹²	−ζ¹²	−ζ¹²	−ζ¹²	−ζ¹²	−ζ¹²	−ζ¹²
χ₁₁	1	1	1	1	1	-1	-1	1	-1	−ζ²⁸	−ζ²⁸	−ζ²⁸	−ζ²⁸	−ζ²⁸	ζ²⁸	ζ²⁸	−ζ²⁸	ζ²⁸	−ζ³⁶	−ζ³⁶	−ζ³⁶	−ζ³⁶	−ζ³⁶	ζ³⁶	ζ³⁶	−ζ³⁶	ζ³⁶	−ζ⁴	−ζ⁴	−ζ⁴	−ζ⁴	−ζ⁴	ζ⁴	ζ⁴	−ζ⁴	ζ⁴	−ζ¹²	−ζ¹²	−ζ¹²	−ζ¹²	−ζ¹²	ζ¹²	ζ¹²	−ζ¹²	ζ¹²
χ₁₂	1	1	1	-1	1	1	1	-1	-1	−ζ²⁸	−ζ²⁸	−ζ²⁸	ζ²⁸	−ζ²⁸	−ζ²⁸	−ζ²⁸	ζ²⁸	ζ²⁸	−ζ³⁶	−ζ³⁶	−ζ³⁶	ζ³⁶	−ζ³⁶	−ζ³⁶	−ζ³⁶	ζ³⁶	ζ³⁶	−ζ⁴	−ζ⁴	−ζ⁴	ζ⁴	−ζ⁴	−ζ⁴	−ζ⁴	ζ⁴	ζ⁴	−ζ¹²	−ζ¹²	−ζ¹²	ζ¹²	−ζ¹²	−ζ¹²	−ζ¹²	ζ¹²	ζ¹²
χ₁₃	1	1	1	-1	1	-1	-1	-1	1	−ζ²⁸	−ζ²⁸	−ζ²⁸	ζ²⁸	−ζ²⁸	ζ²⁸	ζ²⁸	ζ²⁸	−ζ²⁸	−ζ³⁶	−ζ³⁶	−ζ³⁶	ζ³⁶	−ζ³⁶	ζ³⁶	ζ³⁶	ζ³⁶	−ζ³⁶	−ζ⁴	−ζ⁴	−ζ⁴	ζ⁴	−ζ⁴	ζ⁴	ζ⁴	ζ⁴	−ζ⁴	−ζ¹²	−ζ¹²	−ζ¹²	ζ¹²	−ζ¹²	ζ¹²	ζ¹²	ζ¹²	−ζ¹²
χ₁₄	2	2	2	0	-2	0	0	0	0	−2ζ²⁸	−2ζ²⁸	−2ζ²⁸	0	2ζ²⁸	0	0	0	0	−2ζ³⁶	−2ζ³⁶	−2ζ³⁶	0	2ζ³⁶	0	0	0	0	−2ζ⁴	−2ζ⁴	−2ζ⁴	0	2ζ⁴	0	0	0	0	−2ζ¹²	−2ζ¹²	−2ζ¹²	0	2ζ¹²	0	0	0	0
χ₁₅	2	2	-2	0	0	$i \sqrt{2}$	$- i \sqrt{2}$	0	0	−2ζ²⁸	−2ζ²⁸	2ζ²⁸	0	0	ζ¹³+ζ²³	−ζ¹³−ζ²³	0	0	−2ζ³⁶	−2ζ³⁶	2ζ³⁶	0	0	ζ²¹+ζ³¹	−ζ²¹−ζ³¹	0	0	−2ζ⁴	−2ζ⁴	2ζ⁴	0	0	ζ²⁹+ζ³⁹	−ζ²⁹−ζ³⁹	0	0	−2ζ¹²	−2ζ¹²	2ζ¹²	0	0	ζ⁷+ζ³⁷	−ζ⁷−ζ³⁷	0	0
χ₁₆	2	2	-2	0	0	$- i \sqrt{2}$	$i \sqrt{2}$	0	0	−2ζ²⁸	−2ζ²⁸	2ζ²⁸	0	0	−ζ¹³−ζ²³	ζ¹³+ζ²³	0	0	−2ζ³⁶	−2ζ³⁶	2ζ³⁶	0	0	−ζ²¹−ζ³¹	ζ²¹+ζ³¹	0	0	−2ζ⁴	−2ζ⁴	2ζ⁴	0	0	−ζ²⁹−ζ³⁹	ζ²⁹+ζ³⁹	0	0	−2ζ¹²	−2ζ¹²	2ζ¹²	0	0	−ζ⁷−ζ³⁷	ζ⁷+ζ³⁷	0	0
χ₁₇	8	-1	0	2	0	0	0	-1	0	−8ζ²⁸	ζ²⁸	0	−2ζ²⁸	0	0	0	ζ²⁸	0	−8ζ³⁶	ζ³⁶	0	−2ζ³⁶	0	0	0	ζ³⁶	0	−8ζ⁴	ζ⁴	0	−2ζ⁴	0	0	0	ζ⁴	0	−8ζ¹²	ζ¹²	0	−2ζ¹²	0	0	0	ζ¹²	0
χ₁₈	8	-1	0	-2	0	0	0	1	0	−8ζ²⁸	ζ²⁸	0	2ζ²⁸	0	0	0	−ζ²⁸	0	−8ζ³⁶	ζ³⁶	0	2ζ³⁶	0	0	0	−ζ³⁶	0	−8ζ⁴	ζ⁴	0	2ζ⁴	0	0	0	−ζ⁴	0	−8ζ¹²	ζ¹²	0	2ζ¹²	0	0	0	−ζ¹²	0
χ₁₉	1	1	1	1	1	1	1	1	1	−ζ³⁶	−ζ³⁶	−ζ³⁶	−ζ³⁶	−ζ³⁶	−ζ³⁶	−ζ³⁶	−ζ³⁶	−ζ³⁶	−ζ¹²	−ζ¹²	−ζ¹²	−ζ¹²	−ζ¹²	−ζ¹²	−ζ¹²	−ζ¹²	−ζ¹²	−ζ²⁸	−ζ²⁸	−ζ²⁸	−ζ²⁸	−ζ²⁸	−ζ²⁸	−ζ²⁸	−ζ²⁸	−ζ²⁸	−ζ⁴	−ζ⁴	−ζ⁴	−ζ⁴	−ζ⁴	−ζ⁴	−ζ⁴	−ζ⁴	−ζ⁴
χ₂₀	1	1	1	1	1	-1	-1	1	-1	−ζ³⁶	−ζ³⁶	−ζ³⁶	−ζ³⁶	−ζ³⁶	ζ³⁶	ζ³⁶	−ζ³⁶	ζ³⁶	−ζ¹²	−ζ¹²	−ζ¹²	−ζ¹²	−ζ¹²	ζ¹²	ζ¹²	−ζ¹²	ζ¹²	−ζ²⁸	−ζ²⁸	−ζ²⁸	−ζ²⁸	−ζ²⁸	ζ²⁸	ζ²⁸	−ζ²⁸	ζ²⁸	−ζ⁴	−ζ⁴	−ζ⁴	−ζ⁴	−ζ⁴	ζ⁴	ζ⁴	−ζ⁴	ζ⁴
χ₂₁	1	1	1	-1	1	1	1	-1	-1	−ζ³⁶	−ζ³⁶	−ζ³⁶	ζ³⁶	−ζ³⁶	−ζ³⁶	−ζ³⁶	ζ³⁶	ζ³⁶	−ζ¹²	−ζ¹²	−ζ¹²	ζ¹²	−ζ¹²	−ζ¹²	−ζ¹²	ζ¹²	ζ¹²	−ζ²⁸	−ζ²⁸	−ζ²⁸	ζ²⁸	−ζ²⁸	−ζ²⁸	−ζ²⁸	ζ²⁸	ζ²⁸	−ζ⁴	−ζ⁴	−ζ⁴	ζ⁴	−ζ⁴	−ζ⁴	−ζ⁴	ζ⁴	ζ⁴
χ₂₂	1	1	1	-1	1	-1	-1	-1	1	−ζ³⁶	−ζ³⁶	−ζ³⁶	ζ³⁶	−ζ³⁶	ζ³⁶	ζ³⁶	ζ³⁶	−ζ³⁶	−ζ¹²	−ζ¹²	−ζ¹²	ζ¹²	−ζ¹²	ζ¹²	ζ¹²	ζ¹²	−ζ¹²	−ζ²⁸	−ζ²⁸	−ζ²⁸	ζ²⁸	−ζ²⁸	ζ²⁸	ζ²⁸	ζ²⁸	−ζ²⁸	−ζ⁴	−ζ⁴	−ζ⁴	ζ⁴	−ζ⁴	ζ⁴	ζ⁴	ζ⁴	−ζ⁴
χ₂₃	2	2	2	0	-2	0	0	0	0	−2ζ³⁶	−2ζ³⁶	−2ζ³⁶	0	2ζ³⁶	0	0	0	0	−2ζ¹²	−2ζ¹²	−2ζ¹²	0	2ζ¹²	0	0	0	0	−2ζ²⁸	−2ζ²⁸	−2ζ²⁸	0	2ζ²⁸	0	0	0	0	−2ζ⁴	−2ζ⁴	−2ζ⁴	0	2ζ⁴	0	0	0	0
χ₂₄	2	2	-2	0	0	$i \sqrt{2}$	$- i \sqrt{2}$	0	0	−2ζ³⁶	−2ζ³⁶	2ζ³⁶	0	0	ζ²¹+ζ³¹	−ζ²¹−ζ³¹	0	0	−2ζ¹²	−2ζ¹²	2ζ¹²	0	0	ζ⁷+ζ³⁷	−ζ⁷−ζ³⁷	0	0	−2ζ²⁸	−2ζ²⁸	2ζ²⁸	0	0	ζ¹³+ζ²³	−ζ¹³−ζ²³	0	0	−2ζ⁴	−2ζ⁴	2ζ⁴	0	0	ζ²⁹+ζ³⁹	−ζ²⁹−ζ³⁹	0	0
χ₂₅	2	2	-2	0	0	$- i \sqrt{2}$	$i \sqrt{2}$	0	0	−2ζ³⁶	−2ζ³⁶	2ζ³⁶	0	0	−ζ²¹−ζ³¹	ζ²¹+ζ³¹	0	0	−2ζ¹²	−2ζ¹²	2ζ¹²	0	0	−ζ⁷−ζ³⁷	ζ⁷+ζ³⁷	0	0	−2ζ²⁸	−2ζ²⁸	2ζ²⁸	0	0	−ζ¹³−ζ²³	ζ¹³+ζ²³	0	0	−2ζ⁴	−2ζ⁴	2ζ⁴	0	0	−ζ²⁹−ζ³⁹	ζ²⁹+ζ³⁹	0	0
χ₂₆	8	-1	0	2	0	0	0	-1	0	−8ζ³⁶	ζ³⁶	0	−2ζ³⁶	0	0	0	ζ³⁶	0	−8ζ¹²	ζ¹²	0	−2ζ¹²	0	0	0	ζ¹²	0	−8ζ²⁸	ζ²⁸	0	−2ζ²⁸	0	0	0	ζ²⁸	0	−8ζ⁴	ζ⁴	0	−2ζ⁴	0	0	0	ζ⁴	0
χ₂₇	8	-1	0	-2	0	0	0	1	0	−8ζ³⁶	ζ³⁶	0	2ζ³⁶	0	0	0	−ζ³⁶	0	−8ζ¹²	ζ¹²	0	2ζ¹²	0	0	0	−ζ¹²	0	−8ζ²⁸	ζ²⁸	0	2ζ²⁸	0	0	0	−ζ²⁸	0	−8ζ⁴	ζ⁴	0	2ζ⁴	0	0	0	−ζ⁴	0
χ₂₈	1	1	1	1	1	1	1	1	1	−ζ⁴	−ζ⁴	−ζ⁴	−ζ⁴	−ζ⁴	−ζ⁴	−ζ⁴	−ζ⁴	−ζ⁴	−ζ²⁸	−ζ²⁸	−ζ²⁸	−ζ²⁸	−ζ²⁸	−ζ²⁸	−ζ²⁸	−ζ²⁸	−ζ²⁸	−ζ¹²	−ζ¹²	−ζ¹²	−ζ¹²	−ζ¹²	−ζ¹²	−ζ¹²	−ζ¹²	−ζ¹²	−ζ³⁶	−ζ³⁶	−ζ³⁶	−ζ³⁶	−ζ³⁶	−ζ³⁶	−ζ³⁶	−ζ³⁶	−ζ³⁶
χ₂₉	1	1	1	1	1	-1	-1	1	-1	−ζ⁴	−ζ⁴	−ζ⁴	−ζ⁴	−ζ⁴	ζ⁴	ζ⁴	−ζ⁴	ζ⁴	−ζ²⁸	−ζ²⁸	−ζ²⁸	−ζ²⁸	−ζ²⁸	ζ²⁸	ζ²⁸	−ζ²⁸	ζ²⁸	−ζ¹²	−ζ¹²	−ζ¹²	−ζ¹²	−ζ¹²	ζ¹²	ζ¹²	−ζ¹²	ζ¹²	−ζ³⁶	−ζ³⁶	−ζ³⁶	−ζ³⁶	−ζ³⁶	ζ³⁶	ζ³⁶	−ζ³⁶	ζ³⁶
χ₃₀	1	1	1	-1	1	1	1	-1	-1	−ζ⁴	−ζ⁴	−ζ⁴	ζ⁴	−ζ⁴	−ζ⁴	−ζ⁴	ζ⁴	ζ⁴	−ζ²⁸	−ζ²⁸	−ζ²⁸	ζ²⁸	−ζ²⁸	−ζ²⁸	−ζ²⁸	ζ²⁸	ζ²⁸	−ζ¹²	−ζ¹²	−ζ¹²	ζ¹²	−ζ¹²	−ζ¹²	−ζ¹²	ζ¹²	ζ¹²	−ζ³⁶	−ζ³⁶	−ζ³⁶	ζ³⁶	−ζ³⁶	−ζ³⁶	−ζ³⁶	ζ³⁶	ζ³⁶
χ₃₁	1	1	1	-1	1	-1	-1	-1	1	−ζ⁴	−ζ⁴	−ζ⁴	ζ⁴	−ζ⁴	ζ⁴	ζ⁴	ζ⁴	−ζ⁴	−ζ²⁸	−ζ²⁸	−ζ²⁸	ζ²⁸	−ζ²⁸	ζ²⁸	ζ²⁸	ζ²⁸	−ζ²⁸	−ζ¹²	−ζ¹²	−ζ¹²	ζ¹²	−ζ¹²	ζ¹²	ζ¹²	ζ¹²	−ζ¹²	−ζ³⁶	−ζ³⁶	−ζ³⁶	ζ³⁶	−ζ³⁶	ζ³⁶	ζ³⁶	ζ³⁶	−ζ³⁶
χ₃₂	2	2	2	0	-2	0	0	0	0	−2ζ⁴	−2ζ⁴	−2ζ⁴	0	2ζ⁴	0	0	0	0	−2ζ²⁸	−2ζ²⁸	−2ζ²⁸	0	2ζ²⁸	0	0	0	0	−2ζ¹²	−2ζ¹²	−2ζ¹²	0	2ζ¹²	0	0	0	0	−2ζ³⁶	−2ζ³⁶	−2ζ³⁶	0	2ζ³⁶	0	0	0	0
χ₃₃	2	2	-2	0	0	$i \sqrt{2}$	$- i \sqrt{2}$	0	0	−2ζ⁴	−2ζ⁴	2ζ⁴	0	0	ζ²⁹+ζ³⁹	−ζ²⁹−ζ³⁹	0	0	−2ζ²⁸	−2ζ²⁸	2ζ²⁸	0	0	ζ¹³+ζ²³	−ζ¹³−ζ²³	0	0	−2ζ¹²	−2ζ¹²	2ζ¹²	0	0	ζ⁷+ζ³⁷	−ζ⁷−ζ³⁷	0	0	−2ζ³⁶	−2ζ³⁶	2ζ³⁶	0	0	ζ²¹+ζ³¹	−ζ²¹−ζ³¹	0	0
χ₃₄	2	2	-2	0	0	$- i \sqrt{2}$	$i \sqrt{2}$	0	0	−2ζ⁴	−2ζ⁴	2ζ⁴	0	0	−ζ²⁹−ζ³⁹	ζ²⁹+ζ³⁹	0	0	−2ζ²⁸	−2ζ²⁸	2ζ²⁸	0	0	−ζ¹³−ζ²³	ζ¹³+ζ²³	0	0	−2ζ¹²	−2ζ¹²	2ζ¹²	0	0	−ζ⁷−ζ³⁷	ζ⁷+ζ³⁷	0	0	−2ζ³⁶	−2ζ³⁶	2ζ³⁶	0	0	−ζ²¹−ζ³¹	ζ²¹+ζ³¹	0	0
χ₃₅	8	-1	0	2	0	0	0	-1	0	−8ζ⁴	ζ⁴	0	−2ζ⁴	0	0	0	ζ⁴	0	−8ζ²⁸	ζ²⁸	0	−2ζ²⁸	0	0	0	ζ²⁸	0	−8ζ¹²	ζ¹²	0	−2ζ¹²	0	0	0	ζ¹²	0	−8ζ³⁶	ζ³⁶	0	−2ζ³⁶	0	0	0	ζ³⁶	0
χ₃₆	8	-1	0	-2	0	0	0	1	0	−8ζ⁴	ζ⁴	0	2ζ⁴	0	0	0	−ζ⁴	0	−8ζ²⁸	ζ²⁸	0	2ζ²⁸	0	0	0	−ζ²⁸	0	−8ζ¹²	ζ¹²	0	2ζ¹²	0	0	0	−ζ¹²	0	−8ζ³⁶	ζ³⁶	0	2ζ³⁶	0	0	0	−ζ³⁶	0
χ₃₇	1	1	1	1	1	1	1	1	1	−ζ¹²	−ζ¹²	−ζ¹²	−ζ¹²	−ζ¹²	−ζ¹²	−ζ¹²	−ζ¹²	−ζ¹²	−ζ⁴	−ζ⁴	−ζ⁴	−ζ⁴	−ζ⁴	−ζ⁴	−ζ⁴	−ζ⁴	−ζ⁴	−ζ³⁶	−ζ³⁶	−ζ³⁶	−ζ³⁶	−ζ³⁶	−ζ³⁶	−ζ³⁶	−ζ³⁶	−ζ³⁶	−ζ²⁸	−ζ²⁸	−ζ²⁸	−ζ²⁸	−ζ²⁸	−ζ²⁸	−ζ²⁸	−ζ²⁸	−ζ²⁸
χ₃₈	1	1	1	1	1	-1	-1	1	-1	−ζ¹²	−ζ¹²	−ζ¹²	−ζ¹²	−ζ¹²	ζ¹²	ζ¹²	−ζ¹²	ζ¹²	−ζ⁴	−ζ⁴	−ζ⁴	−ζ⁴	−ζ⁴	ζ⁴	ζ⁴	−ζ⁴	ζ⁴	−ζ³⁶	−ζ³⁶	−ζ³⁶	−ζ³⁶	−ζ³⁶	ζ³⁶	ζ³⁶	−ζ³⁶	ζ³⁶	−ζ²⁸	−ζ²⁸	−ζ²⁸	−ζ²⁸	−ζ²⁸	ζ²⁸	ζ²⁸	−ζ²⁸	ζ²⁸
χ₃₉	1	1	1	-1	1	1	1	-1	-1	−ζ¹²	−ζ¹²	−ζ¹²	ζ¹²	−ζ¹²	−ζ¹²	−ζ¹²	ζ¹²	ζ¹²	−ζ⁴	−ζ⁴	−ζ⁴	ζ⁴	−ζ⁴	−ζ⁴	−ζ⁴	ζ⁴	ζ⁴	−ζ³⁶	−ζ³⁶	−ζ³⁶	ζ³⁶	−ζ³⁶	−ζ³⁶	−ζ³⁶	ζ³⁶	ζ³⁶	−ζ²⁸	−ζ²⁸	−ζ²⁸	ζ²⁸	−ζ²⁸	−ζ²⁸	−ζ²⁸	ζ²⁸	ζ²⁸
χ₄₀	1	1	1	-1	1	-1	-1	-1	1	−ζ¹²	−ζ¹²	−ζ¹²	ζ¹²	−ζ¹²	ζ¹²	ζ¹²	ζ¹²	−ζ¹²	−ζ⁴	−ζ⁴	−ζ⁴	ζ⁴	−ζ⁴	ζ⁴	ζ⁴	ζ⁴	−ζ⁴	−ζ³⁶	−ζ³⁶	−ζ³⁶	ζ³⁶	−ζ³⁶	ζ³⁶	ζ³⁶	ζ³⁶	−ζ³⁶	−ζ²⁸	−ζ²⁸	−ζ²⁸	ζ²⁸	−ζ²⁸	ζ²⁸	ζ²⁸	ζ²⁸	−ζ²⁸
χ₄₁	2	2	2	0	-2	0	0	0	0	−2ζ¹²	−2ζ¹²	−2ζ¹²	0	2ζ¹²	0	0	0	0	−2ζ⁴	−2ζ⁴	−2ζ⁴	0	2ζ⁴	0	0	0	0	−2ζ³⁶	−2ζ³⁶	−2ζ³⁶	0	2ζ³⁶	0	0	0	0	−2ζ²⁸	−2ζ²⁸	−2ζ²⁸	0	2ζ²⁸	0	0	0	0
χ₄₂	2	2	-2	0	0	$i \sqrt{2}$	$- i \sqrt{2}$	0	0	−2ζ¹²	−2ζ¹²	2ζ¹²	0	0	ζ⁷+ζ³⁷	−ζ⁷−ζ³⁷	0	0	−2ζ⁴	−2ζ⁴	2ζ⁴	0	0	ζ²⁹+ζ³⁹	−ζ²⁹−ζ³⁹	0	0	−2ζ³⁶	−2ζ³⁶	2ζ³⁶	0	0	ζ²¹+ζ³¹	−ζ²¹−ζ³¹	0	0	−2ζ²⁸	−2ζ²⁸	2ζ²⁸	0	0	ζ¹³+ζ²³	−ζ¹³−ζ²³	0	0
χ₄₃	2	2	-2	0	0	$- i \sqrt{2}$	$i \sqrt{2}$	0	0	−2ζ¹²	−2ζ¹²	2ζ¹²	0	0	−ζ⁷−ζ³⁷	ζ⁷+ζ³⁷	0	0	−2ζ⁴	−2ζ⁴	2ζ⁴	0	0	−ζ²⁹−ζ³⁹	ζ²⁹+ζ³⁹	0	0	−2ζ³⁶	−2ζ³⁶	2ζ³⁶	0	0	−ζ²¹−ζ³¹	ζ²¹+ζ³¹	0	0	−2ζ²⁸	−2ζ²⁸	2ζ²⁸	0	0	−ζ¹³−ζ²³	ζ¹³+ζ²³	0	0
χ₄₄	8	-1	0	2	0	0	0	-1	0	−8ζ¹²	ζ¹²	0	−2ζ¹²	0	0	0	ζ¹²	0	−8ζ⁴	ζ⁴	0	−2ζ⁴	0	0	0	ζ⁴	0	−8ζ³⁶	ζ³⁶	0	−2ζ³⁶	0	0	0	ζ³⁶	0	−8ζ²⁸	ζ²⁸	0	−2ζ²⁸	0	0	0	ζ²⁸	0
χ₄₅	8	-1	0	-2	0	0	0	1	0	−8ζ¹²	ζ¹²	0	2ζ¹²	0	0	0	−ζ¹²	0	−8ζ⁴	ζ⁴	0	2ζ⁴	0	0	0	−ζ⁴	0	−8ζ³⁶	ζ³⁶	0	2ζ³⁶	0	0	0	−ζ³⁶	0	−8ζ²⁸	ζ²⁸	0	2ζ²⁸	0	0	0	−ζ²⁸	0

Character table — Group #10624310