Group #13181836 — 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
size	1	2	3	3	3	6	6	6	6	6	6	32	32	32	36	36	36	36	2	4	6	6	6	12	12	12	12	12	12	64	64	64	72	72	72	72	3	6	9	9	9	18	18	18	18	18	18	96	96	96	108	108	108	108
order	1	3	2	2	2	2	6	6	6	6	6	3	3	3	2	4	4	4	3	3	6	6	6	6	6	6	6	6	6	3	3	3	6	12	12	12	2	6	2	2	2	2	6	6	6	6	6	6	6	6	2	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
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
χ₃	2	2	2	2	2	2	2	2	2	2	2	-1	-1	-1	0	0	0	0	2	2	2	2	2	2	2	2	2	2	2	-1	-1	-1	0	0	0	0	2	2	2	2	2	2	2	2	2	2	2	-1	-1	-1	0	0	0	0
χ₄	2	-1	2	2	2	2	-1	-1	-1	-1	-1	2	-1	-1	0	0	0	0	2	-1	2	2	2	2	-1	-1	-1	-1	-1	2	-1	-1	0	0	0	0	2	-1	2	2	2	2	-1	-1	-1	-1	-1	2	-1	-1	0	0	0	0
χ₅	2	-1	2	2	2	2	-1	-1	-1	-1	-1	-1	2	-1	0	0	0	0	2	-1	2	2	2	2	-1	-1	-1	-1	-1	-1	2	-1	0	0	0	0	2	-1	2	2	2	2	-1	-1	-1	-1	-1	-1	2	-1	0	0	0	0
χ₆	2	-1	2	2	2	2	-1	-1	-1	-1	-1	-1	-1	2	0	0	0	0	2	-1	2	2	2	2	-1	-1	-1	-1	-1	-1	-1	2	0	0	0	0	2	-1	2	2	2	2	-1	-1	-1	-1	-1	-1	-1	2	0	0	0	0
χ₇	3	3	3	-1	-1	-1	3	-1	-1	-1	-1	0	0	0	1	1	-1	-1	3	3	3	-1	-1	-1	3	-1	-1	-1	-1	0	0	0	1	1	-1	-1	3	3	3	-1	-1	-1	3	-1	-1	-1	-1	0	0	0	1	1	-1	-1
χ₈	3	3	3	-1	-1	-1	3	-1	-1	-1	-1	0	0	0	-1	-1	1	1	3	3	3	-1	-1	-1	3	-1	-1	-1	-1	0	0	0	-1	-1	1	1	3	3	3	-1	-1	-1	3	-1	-1	-1	-1	0	0	0	-1	-1	1	1
χ₉	3	3	-1	3	-1	-1	-1	3	-1	-1	-1	0	0	0	1	-1	1	-1	3	3	-1	3	-1	-1	-1	3	-1	-1	-1	0	0	0	1	-1	1	-1	3	3	-1	3	-1	-1	-1	3	-1	-1	-1	0	0	0	1	-1	1	-1
χ₁₀	3	3	-1	3	-1	-1	-1	3	-1	-1	-1	0	0	0	-1	1	-1	1	3	3	-1	3	-1	-1	-1	3	-1	-1	-1	0	0	0	-1	1	-1	1	3	3	-1	3	-1	-1	-1	3	-1	-1	-1	0	0	0	-1	1	-1	1
χ₁₁	3	3	-1	-1	3	-1	-1	-1	3	-1	-1	0	0	0	1	-1	-1	1	3	3	-1	-1	3	-1	-1	-1	3	-1	-1	0	0	0	1	-1	-1	1	3	3	-1	-1	3	-1	-1	-1	3	-1	-1	0	0	0	1	-1	-1	1
χ₁₂	3	3	-1	-1	3	-1	-1	-1	3	-1	-1	0	0	0	-1	1	1	-1	3	3	-1	-1	3	-1	-1	-1	3	-1	-1	0	0	0	-1	1	1	-1	3	3	-1	-1	3	-1	-1	-1	3	-1	-1	0	0	0	-1	1	1	-1
χ₁₃	6	6	-2	-2	-2	2	-2	-2	-2	2	2	0	0	0	0	0	0	0	6	6	-2	-2	-2	2	-2	-2	-2	2	2	0	0	0	0	0	0	0	6	6	-2	-2	-2	2	-2	-2	-2	2	2	0	0	0	0	0	0	0
χ₁₄	6	-3	6	-2	-2	-2	-3	1	1	1	1	0	0	0	0	0	0	0	6	-3	6	-2	-2	-2	-3	1	1	1	1	0	0	0	0	0	0	0	6	-3	6	-2	-2	-2	-3	1	1	1	1	0	0	0	0	0	0	0
χ₁₅	6	-3	-2	6	-2	-2	1	-3	1	1	1	0	0	0	0	0	0	0	6	-3	-2	6	-2	-2	1	-3	1	1	1	0	0	0	0	0	0	0	6	-3	-2	6	-2	-2	1	-3	1	1	1	0	0	0	0	0	0	0
χ₁₆	6	-3	-2	-2	6	-2	1	1	-3	1	1	0	0	0	0	0	0	0	6	-3	-2	-2	6	-2	1	1	-3	1	1	0	0	0	0	0	0	0	6	-3	-2	-2	6	-2	1	1	-3	1	1	0	0	0	0	0	0	0
χ₁₇	6	-3	-2	-2	-2	2	1	1	1	$- 1 + 2 i \sqrt{3}$	$- 1 - 2 i \sqrt{3}$	0	0	0	0	0	0	0	6	-3	-2	-2	-2	2	1	1	1	$- 1 + 2 i \sqrt{3}$	$- 1 - 2 i \sqrt{3}$	0	0	0	0	0	0	0	6	-3	-2	-2	-2	2	1	1	1	$- 1 + 2 i \sqrt{3}$	$- 1 - 2 i \sqrt{3}$	0	0	0	0	0	0	0
χ₁₈	6	-3	-2	-2	-2	2	1	1	1	$- 1 - 2 i \sqrt{3}$	$- 1 + 2 i \sqrt{3}$	0	0	0	0	0	0	0	6	-3	-2	-2	-2	2	1	1	1	$- 1 - 2 i \sqrt{3}$	$- 1 + 2 i \sqrt{3}$	0	0	0	0	0	0	0	6	-3	-2	-2	-2	2	1	1	1	$- 1 - 2 i \sqrt{3}$	$- 1 + 2 i \sqrt{3}$	0	0	0	0	0	0	0
χ₁₉	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1
χ₂₀	1	1	1	1	1	1	1	1	1	1	1	1	1	1	-1	-1	-1	-1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	1	1	1	1
χ₂₁	2	2	2	2	2	2	2	2	2	2	2	-1	-1	-1	0	0	0	0	2	2	2	2	2	2	2	2	2	2	2	-1	-1	-1	0	0	0	0	-2	-2	-2	-2	-2	-2	-2	-2	-2	-2	-2	1	1	1	0	0	0	0
χ₂₂	2	-1	2	2	2	2	-1	-1	-1	-1	-1	2	-1	-1	0	0	0	0	2	-1	2	2	2	2	-1	-1	-1	-1	-1	2	-1	-1	0	0	0	0	-2	1	-2	-2	-2	-2	1	1	1	1	1	-2	1	1	0	0	0	0
χ₂₃	2	-1	2	2	2	2	-1	-1	-1	-1	-1	-1	2	-1	0	0	0	0	2	-1	2	2	2	2	-1	-1	-1	-1	-1	-1	2	-1	0	0	0	0	-2	1	-2	-2	-2	-2	1	1	1	1	1	1	-2	1	0	0	0	0
χ₂₄	2	-1	2	2	2	2	-1	-1	-1	-1	-1	-1	-1	2	0	0	0	0	2	-1	2	2	2	2	-1	-1	-1	-1	-1	-1	-1	2	0	0	0	0	-2	1	-2	-2	-2	-2	1	1	1	1	1	1	1	-2	0	0	0	0
χ₂₅	3	3	3	-1	-1	-1	3	-1	-1	-1	-1	0	0	0	1	1	-1	-1	3	3	3	-1	-1	-1	3	-1	-1	-1	-1	0	0	0	1	1	-1	-1	-3	-3	-3	1	1	1	-3	1	1	1	1	0	0	0	-1	-1	1	1
χ₂₆	3	3	3	-1	-1	-1	3	-1	-1	-1	-1	0	0	0	-1	-1	1	1	3	3	3	-1	-1	-1	3	-1	-1	-1	-1	0	0	0	-1	-1	1	1	-3	-3	-3	1	1	1	-3	1	1	1	1	0	0	0	1	1	-1	-1
χ₂₇	3	3	-1	3	-1	-1	-1	3	-1	-1	-1	0	0	0	1	-1	1	-1	3	3	-1	3	-1	-1	-1	3	-1	-1	-1	0	0	0	1	-1	1	-1	-3	-3	1	-3	1	1	1	-3	1	1	1	0	0	0	-1	1	-1	1
χ₂₈	3	3	-1	3	-1	-1	-1	3	-1	-1	-1	0	0	0	-1	1	-1	1	3	3	-1	3	-1	-1	-1	3	-1	-1	-1	0	0	0	-1	1	-1	1	-3	-3	1	-3	1	1	1	-3	1	1	1	0	0	0	1	-1	1	-1
χ₂₉	3	3	-1	-1	3	-1	-1	-1	3	-1	-1	0	0	0	1	-1	-1	1	3	3	-1	-1	3	-1	-1	-1	3	-1	-1	0	0	0	1	-1	-1	1	-3	-3	1	1	-3	1	1	1	-3	1	1	0	0	0	-1	1	1	-1
χ₃₀	3	3	-1	-1	3	-1	-1	-1	3	-1	-1	0	0	0	-1	1	1	-1	3	3	-1	-1	3	-1	-1	-1	3	-1	-1	0	0	0	-1	1	1	-1	-3	-3	1	1	-3	1	1	1	-3	1	1	0	0	0	1	-1	-1	1
χ₃₁	6	6	-2	-2	-2	2	-2	-2	-2	2	2	0	0	0	0	0	0	0	6	6	-2	-2	-2	2	-2	-2	-2	2	2	0	0	0	0	0	0	0	-6	-6	2	2	2	-2	2	2	2	-2	-2	0	0	0	0	0	0	0
χ₃₂	6	-3	6	-2	-2	-2	-3	1	1	1	1	0	0	0	0	0	0	0	6	-3	6	-2	-2	-2	-3	1	1	1	1	0	0	0	0	0	0	0	-6	3	-6	2	2	2	3	-1	-1	-1	-1	0	0	0	0	0	0	0
χ₃₃	6	-3	-2	6	-2	-2	1	-3	1	1	1	0	0	0	0	0	0	0	6	-3	-2	6	-2	-2	1	-3	1	1	1	0	0	0	0	0	0	0	-6	3	2	-6	2	2	-1	3	-1	-1	-1	0	0	0	0	0	0	0
χ₃₄	6	-3	-2	-2	6	-2	1	1	-3	1	1	0	0	0	0	0	0	0	6	-3	-2	-2	6	-2	1	1	-3	1	1	0	0	0	0	0	0	0	-6	3	2	2	-6	2	-1	-1	3	-1	-1	0	0	0	0	0	0	0
χ₃₅	6	-3	-2	-2	-2	2	1	1	1	$- 1 + 2 i \sqrt{3}$	$- 1 - 2 i \sqrt{3}$	0	0	0	0	0	0	0	6	-3	-2	-2	-2	2	1	1	1	$- 1 + 2 i \sqrt{3}$	$- 1 - 2 i \sqrt{3}$	0	0	0	0	0	0	0	-6	3	2	2	2	-2	-1	-1	-1	$1 - 2 i \sqrt{3}$	$1 + 2 i \sqrt{3}$	0	0	0	0	0	0	0
χ₃₆	6	-3	-2	-2	-2	2	1	1	1	$- 1 - 2 i \sqrt{3}$	$- 1 + 2 i \sqrt{3}$	0	0	0	0	0	0	0	6	-3	-2	-2	-2	2	1	1	1	$- 1 - 2 i \sqrt{3}$	$- 1 + 2 i \sqrt{3}$	0	0	0	0	0	0	0	-6	3	2	2	2	-2	-1	-1	-1	$1 + 2 i \sqrt{3}$	$1 - 2 i \sqrt{3}$	0	0	0	0	0	0	0
χ₃₇	2	2	2	2	2	2	2	2	2	2	2	2	2	2	2	2	2	2	-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
χ₃₈	2	2	2	2	2	2	2	2	2	2	2	2	2	2	-2	-2	-2	-2	-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
χ₃₉	4	4	4	4	4	4	4	4	4	4	4	-2	-2	-2	0	0	0	0	-2	-2	-2	-2	-2	-2	-2	-2	-2	-2	-2	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
χ₄₀	4	-2	4	4	4	4	-2	-2	-2	-2	-2	4	-2	-2	0	0	0	0	-2	1	-2	-2	-2	-2	1	1	1	1	1	-2	1	1	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₄₁	4	-2	4	4	4	4	-2	-2	-2	-2	-2	-2	4	-2	0	0	0	0	-2	1	-2	-2	-2	-2	1	1	1	1	1	1	-2	1	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₄₂	4	-2	4	4	4	4	-2	-2	-2	-2	-2	-2	-2	4	0	0	0	0	-2	1	-2	-2	-2	-2	1	1	1	1	1	1	1	-2	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₄₃	6	6	6	-2	-2	-2	6	-2	-2	-2	-2	0	0	0	2	2	-2	-2	-3	-3	-3	1	1	1	-3	1	1	1	1	0	0	0	-1	-1	1	1	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₄₄	6	6	6	-2	-2	-2	6	-2	-2	-2	-2	0	0	0	-2	-2	2	2	-3	-3	-3	1	1	1	-3	1	1	1	1	0	0	0	1	1	-1	-1	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₄₅	6	6	-2	6	-2	-2	-2	6	-2	-2	-2	0	0	0	2	-2	2	-2	-3	-3	1	-3	1	1	1	-3	1	1	1	0	0	0	-1	1	-1	1	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₄₆	6	6	-2	6	-2	-2	-2	6	-2	-2	-2	0	0	0	-2	2	-2	2	-3	-3	1	-3	1	1	1	-3	1	1	1	0	0	0	1	-1	1	-1	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₄₇	6	6	-2	-2	6	-2	-2	-2	6	-2	-2	0	0	0	2	-2	-2	2	-3	-3	1	1	-3	1	1	1	-3	1	1	0	0	0	-1	1	1	-1	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₄₈	6	6	-2	-2	6	-2	-2	-2	6	-2	-2	0	0	0	-2	2	2	-2	-3	-3	1	1	-3	1	1	1	-3	1	1	0	0	0	1	-1	-1	1	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₄₉	12	12	-4	-4	-4	4	-4	-4	-4	4	4	0	0	0	0	0	0	0	-6	-6	2	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
χ₅₀	12	-6	12	-4	-4	-4	-6	2	2	2	2	0	0	0	0	0	0	0	-6	3	-6	2	2	2	3	-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
χ₅₁	12	-6	-4	12	-4	-4	2	-6	2	2	2	0	0	0	0	0	0	0	-6	3	2	-6	2	2	-1	3	-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
χ₅₂	12	-6	-4	-4	12	-4	2	2	-6	2	2	0	0	0	0	0	0	0	-6	3	2	2	-6	2	-1	-1	3	-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
χ₅₃	12	-6	-4	-4	-4	4	2	2	2	$- 2 + 4 i \sqrt{3}$	$- 2 - 4 i \sqrt{3}$	0	0	0	0	0	0	0	-6	3	2	2	2	-2	-1	-1	-1	$1 - 2 i \sqrt{3}$	$1 + 2 i \sqrt{3}$	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
χ₅₄	12	-6	-4	-4	-4	4	2	2	2	$- 2 - 4 i \sqrt{3}$	$- 2 + 4 i \sqrt{3}$	0	0	0	0	0	0	0	-6	3	2	2	2	-2	-1	-1	-1	$1 + 2 i \sqrt{3}$	$1 - 2 i \sqrt{3}$	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

Character table — Group #13181836