Group #72226554 — 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
size	1	3	6	6	6	9	9	18	18	18	18	18	18	32	36	36	36	48	48	48	96	96	96	96	144	144	144	144	144	144	144	144	144	192	256	288	288	288	288	288	288	288	288	384	384	384	384	512	768	1536
order	1	2	2	2	2	2	2	2	2	2	2	2	2	3	2	2	2	2	2	4	4	6	6	6	2	4	4	4	4	4	4	4	4	6	3	4	4	4	4	4	4	4	4	6	12	12	12	3	6	6
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
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
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
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
χ₅	2	2	2	2	2	2	2	2	2	2	2	2	2	2	2	2	2	0	2	0	0	2	2	2	0	2	0	0	0	2	2	0	0	2	-1	0	0	0	2	0	0	0	0	0	0	0	0	-1	-1	-1
χ₆	2	2	2	2	2	2	2	2	2	2	2	2	2	2	2	2	2	0	-2	0	0	2	2	2	0	-2	0	0	0	-2	-2	0	0	2	-1	0	0	0	-2	0	0	0	0	0	0	0	0	-1	-1	1
χ₇	2	2	2	2	2	2	2	2	2	2	2	2	2	-1	2	2	2	2	0	2	2	-1	-1	-1	0	0	0	2	2	0	0	0	0	-1	-1	0	0	2	0	0	0	0	0	-1	-1	-1	-1	2	-1	0
χ₈	2	2	2	2	2	2	2	2	2	2	2	2	2	-1	2	2	2	-2	0	-2	-2	-1	-1	-1	0	0	0	-2	-2	0	0	0	0	-1	-1	0	0	-2	0	0	0	0	0	1	1	1	1	2	-1	0
χ₉	3	3	-1	3	-1	3	3	3	3	-1	-1	-1	-1	3	-1	-1	-1	1	3	1	-1	3	-1	-1	1	-1	1	1	1	3	-1	1	1	-1	0	1	-1	-1	-1	1	-1	-1	-1	1	1	-1	-1	0	0	0
χ₁₀	3	3	-1	3	-1	3	3	3	3	-1	-1	-1	-1	3	-1	-1	-1	1	-3	1	-1	3	-1	-1	-1	1	-1	1	1	-3	1	-1	-1	-1	0	-1	1	-1	1	-1	1	1	1	1	1	-1	-1	0	0	0
χ₁₁	3	3	-1	3	-1	3	3	3	3	-1	-1	-1	-1	3	-1	-1	-1	-1	3	-1	1	3	-1	-1	-1	-1	-1	-1	-1	3	-1	-1	-1	-1	0	-1	1	1	-1	-1	1	1	1	-1	-1	1	1	0	0	0
χ₁₂	3	3	-1	3	-1	3	3	3	3	-1	-1	-1	-1	3	-1	-1	-1	-1	-3	-1	1	3	-1	-1	1	1	1	-1	-1	-3	1	1	1	-1	0	1	-1	1	1	1	-1	-1	-1	-1	-1	1	1	0	0	0
χ₁₃	4	4	4	4	4	4	4	4	4	4	4	4	4	-2	4	4	4	0	0	0	0	-2	-2	-2	0	0	0	0	0	0	0	0	0	-2	1	0	0	0	0	0	0	0	0	0	0	0	0	-2	1	0
χ₁₄	6	6	6	2	6	-2	-2	2	-2	2	2	-2	-2	0	2	-2	-2	0	0	0	0	0	0	0	2	0	2	0	0	0	0	-2	-2	0	3	0	2	0	0	0	0	0	-2	0	0	0	0	0	-1	0
χ₁₅	6	6	6	2	6	-2	-2	2	-2	2	2	-2	-2	0	2	-2	-2	0	0	0	0	0	0	0	-2	0	-2	0	0	0	0	2	2	0	3	0	-2	0	0	0	0	0	2	0	0	0	0	0	-1	0
χ₁₆	6	6	-2	6	-2	6	6	6	6	-2	-2	-2	-2	-3	-2	-2	-2	2	0	2	-2	-3	1	1	0	0	0	2	2	0	0	0	0	1	0	0	0	-2	0	0	0	0	0	-1	-1	1	1	0	0	0
χ₁₇	6	6	-2	6	-2	6	6	6	6	-2	-2	-2	-2	-3	-2	-2	-2	-2	0	-2	2	-3	1	1	0	0	0	-2	-2	0	0	0	0	1	0	0	0	2	0	0	0	0	0	1	1	-1	-1	0	0	0
χ₁₈	6	-2	2	6	-2	6	-2	-2	-2	-2	-2	2	-2	6	2	2	-2	2	0	-2	0	-2	2	2	0	0	0	2	-2	0	0	0	0	-2	0	0	0	0	0	0	0	0	0	2	-2	0	0	0	0	0
χ₁₉	6	-2	2	6	-2	6	-2	-2	-2	-2	-2	2	-2	6	2	2	-2	-2	0	2	0	-2	2	2	0	0	0	-2	2	0	0	0	0	-2	0	0	0	0	0	0	0	0	0	-2	2	0	0	0	0	0
χ₂₀	6	-2	2	6	-2	6	-2	-2	-2	-2	-2	2	-2	-3	2	2	-2	2	0	-2	0	1	$- 1 + 2 i \sqrt{3}$	$- 1 - 2 i \sqrt{3}$	0	0	0	2	-2	0	0	0	0	1	0	0	0	0	0	0	0	0	0	-1	1	$i \sqrt{3}$	$- i \sqrt{3}$	0	0	0
χ₂₁	6	-2	2	6	-2	6	-2	-2	-2	-2	-2	2	-2	-3	2	2	-2	2	0	-2	0	1	$- 1 - 2 i \sqrt{3}$	$- 1 + 2 i \sqrt{3}$	0	0	0	2	-2	0	0	0	0	1	0	0	0	0	0	0	0	0	0	-1	1	$- i \sqrt{3}$	$i \sqrt{3}$	0	0	0
χ₂₂	6	-2	2	6	-2	6	-2	-2	-2	-2	-2	2	-2	-3	2	2	-2	-2	0	2	0	1	$- 1 + 2 i \sqrt{3}$	$- 1 - 2 i \sqrt{3}$	0	0	0	-2	2	0	0	0	0	1	0	0	0	0	0	0	0	0	0	1	-1	$- i \sqrt{3}$	$i \sqrt{3}$	0	0	0
χ₂₃	6	-2	2	6	-2	6	-2	-2	-2	-2	-2	2	-2	-3	2	2	-2	-2	0	2	0	1	$- 1 - 2 i \sqrt{3}$	$- 1 + 2 i \sqrt{3}$	0	0	0	-2	2	0	0	0	0	1	0	0	0	0	0	0	0	0	0	1	-1	$i \sqrt{3}$	$- i \sqrt{3}$	0	0	0
χ₂₄	6	-2	-2	6	2	6	-2	-2	-2	2	2	-2	2	6	-2	-2	2	0	0	0	0	-2	-2	-2	2	0	-2	0	0	0	0	2	-2	2	0	2	0	0	0	-2	0	0	0	0	0	0	0	0	0	0
χ₂₅	6	-2	-2	6	2	6	-2	-2	-2	2	2	-2	2	6	-2	-2	2	0	0	0	0	-2	-2	-2	-2	0	2	0	0	0	0	-2	2	2	0	-2	0	0	0	2	0	0	0	0	0	0	0	0	0	0
χ₂₆	9	9	9	-3	9	1	1	-3	1	-3	-3	1	1	0	-3	1	1	3	3	3	3	0	0	0	1	3	1	-1	-1	-1	-1	1	1	0	0	-1	1	-1	-1	-1	-1	-1	1	0	0	0	0	0	0	0
χ₂₇	9	9	9	-3	9	1	1	-3	1	-3	-3	1	1	0	-3	1	1	3	-3	3	3	0	0	0	-1	-3	-1	-1	-1	1	1	-1	-1	0	0	1	-1	-1	1	1	1	1	-1	0	0	0	0	0	0	0
χ₂₈	9	9	9	-3	9	1	1	-3	1	-3	-3	1	1	0	-3	1	1	-3	3	-3	-3	0	0	0	-1	3	-1	1	1	-1	-1	-1	-1	0	0	1	-1	1	-1	1	1	1	-1	0	0	0	0	0	0	0
χ₂₉	9	9	9	-3	9	1	1	-3	1	-3	-3	1	1	0	-3	1	1	-3	-3	-3	-3	0	0	0	1	-3	1	1	1	1	1	1	1	0	0	-1	1	1	1	-1	-1	-1	1	0	0	0	0	0	0	0
χ₃₀	9	9	-3	-3	-3	1	1	-3	1	1	1	5	5	0	1	-3	-3	3	3	3	-3	0	0	0	1	-1	1	-1	-1	-1	3	1	1	0	0	-1	-1	1	-1	-1	1	1	-1	0	0	0	0	0	0	0
χ₃₁	9	9	-3	-3	-3	1	1	-3	1	1	1	5	5	0	1	-3	-3	3	-3	3	-3	0	0	0	-1	1	-1	-1	-1	1	-3	-1	-1	0	0	1	1	1	1	1	-1	-1	1	0	0	0	0	0	0	0
χ₃₂	9	9	-3	-3	-3	1	1	-3	1	1	1	5	5	0	1	-3	-3	-3	3	-3	3	0	0	0	-1	-1	-1	1	1	-1	3	-1	-1	0	0	1	1	-1	-1	1	-1	-1	1	0	0	0	0	0	0	0
χ₃₃	9	9	-3	-3	-3	1	1	-3	1	1	1	5	5	0	1	-3	-3	-3	-3	-3	3	0	0	0	1	1	1	1	1	1	-3	1	1	0	0	-1	-1	-1	1	-1	1	1	-1	0	0	0	0	0	0	0
χ₃₄	12	12	12	4	12	-4	-4	4	-4	4	4	-4	-4	0	4	-4	-4	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	-3	0	0	0	0	0	0	0	0	0	0	0	0	0	1	0
χ₃₅	12	-4	-4	12	4	12	-4	-4	-4	4	4	-4	4	-6	-4	-4	4	0	0	0	0	2	2	2	0	0	0	0	0	0	0	0	0	-2	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₃₆	18	18	-6	6	-6	-6	-6	6	-6	-2	-2	2	2	0	-2	2	2	0	0	0	0	0	0	0	2	0	2	0	0	0	0	-2	-2	0	0	0	-2	0	0	0	0	0	2	0	0	0	0	0	0	0
χ₃₇	18	18	-6	6	-6	-6	-6	6	-6	-2	-2	2	2	0	-2	2	2	0	0	0	0	0	0	0	-2	0	-2	0	0	0	0	2	2	0	0	0	2	0	0	0	0	0	-2	0	0	0	0	0	0	0
χ₃₈	18	18	-6	-6	-6	2	2	-6	2	2	2	-6	-6	0	2	2	2	0	6	0	0	0	0	0	0	-2	0	0	0	-2	-2	0	0	0	0	0	0	0	2	0	0	0	0	0	0	0	0	0	0	0
χ₃₉	18	18	-6	-6	-6	2	2	-6	2	2	2	-6	-6	0	2	2	2	0	-6	0	0	0	0	0	0	2	0	0	0	2	2	0	0	0	0	0	0	0	-2	0	0	0	0	0	0	0	0	0	0	0
χ₄₀	18	-6	6	-6	-6	2	10	2	-6	2	2	6	-6	0	-2	-2	2	6	0	-6	0	0	0	0	0	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
χ₄₁	18	-6	6	-6	-6	2	10	2	-6	2	2	6	-6	0	-2	-2	2	-6	0	6	0	0	0	0	0	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
χ₄₂	18	-6	-6	6	6	-6	2	-2	2	10	-6	2	-2	0	-2	2	-2	0	0	0	0	0	0	0	2	0	-2	0	0	0	0	-2	2	0	0	0	0	0	0	0	2	-2	0	0	0	0	0	0	0	0
χ₄₃	18	-6	-6	6	6	-6	2	-2	2	10	-6	2	-2	0	-2	2	-2	0	0	0	0	0	0	0	-2	0	2	0	0	0	0	2	-2	0	0	0	0	0	0	0	-2	2	0	0	0	0	0	0	0	0
χ₄₄	18	-6	-6	6	6	-6	2	-2	2	-6	10	2	-2	0	-2	2	-2	0	0	0	0	0	0	0	2	0	-2	0	0	0	0	-2	2	0	0	0	0	0	0	0	-2	2	0	0	0	0	0	0	0	0
χ₄₅	18	-6	-6	6	6	-6	2	-2	2	-6	10	2	-2	0	-2	2	-2	0	0	0	0	0	0	0	-2	0	2	0	0	0	0	2	-2	0	0	0	0	0	0	0	2	-2	0	0	0	0	0	0	0	0
χ₄₆	18	-6	-6	-6	6	2	10	2	-6	-2	-2	-6	6	0	2	2	-2	0	0	0	0	0	0	0	2	0	-2	0	0	0	0	2	-2	0	0	-2	0	0	0	2	0	0	0	0	0	0	0	0	0	0
χ₄₇	18	-6	-6	-6	6	2	10	2	-6	-2	-2	-6	6	0	2	2	-2	0	0	0	0	0	0	0	-2	0	2	0	0	0	0	-2	2	0	0	2	0	0	0	-2	0	0	0	0	0	0	0	0	0	0
χ₄₈	36	-12	12	12	-12	-12	4	-4	4	-4	-4	-4	4	0	4	-4	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
χ₄₉	36	-12	12	-12	-12	4	-12	4	4	4	4	-4	4	0	-4	4	-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
χ₅₀	36	-12	-12	-12	12	4	-12	4	4	-4	-4	4	-4	0	4	-4	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

Character table — Group #72226554