Finite Group Databasebeta

← Group #88883

Character table — Group #88883

Order 432.

	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
size	1	2	9	12	12	18	18	18	18	18	18	36	36	1	2	9	12	12	18	18	18	18	18	18	36	36
order	1	3	2	3	3	2	2	4	6	12	12	6	6	2	6	2	6	6	2	2	4	6	12	12	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
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
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
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
χ₅	2	2	-2	2	2	0	0	0	-2	0	0	0	0	2	2	-2	2	2	0	0	0	-2	0	0	0	0
χ₆	4	4	0	1	-2	0	2	0	0	0	0	0	-1	4	4	0	1	-2	0	2	0	0	0	0	0	-1
χ₇	4	4	0	1	-2	0	-2	0	0	0	0	0	1	4	4	0	1	-2	0	-2	0	0	0	0	0	1
χ₈	4	4	0	-2	1	2	0	0	0	0	0	-1	0	4	4	0	-2	1	2	0	0	0	0	0	-1	0
χ₉	4	4	0	-2	1	-2	0	0	0	0	0	1	0	4	4	0	-2	1	-2	0	0	0	0	0	1	0
χ₁₀	6	-3	2	0	0	0	0	0	-1	$\sqrt{3}$	$- \sqrt{3}$	0	0	6	-3	2	0	0	0	0	0	-1	$\sqrt{3}$	$- \sqrt{3}$	0	0
χ₁₁	6	-3	2	0	0	0	0	0	-1	$- \sqrt{3}$	$\sqrt{3}$	0	0	6	-3	2	0	0	0	0	0	-1	$- \sqrt{3}$	$\sqrt{3}$	0	0
χ₁₂	6	-3	-2	0	0	0	0	2	1	-1	-1	0	0	6	-3	-2	0	0	0	0	2	1	-1	-1	0	0
χ₁₃	6	-3	-2	0	0	0	0	-2	1	1	1	0	0	6	-3	-2	0	0	0	0	-2	1	1	1	0	0
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
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
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
χ₁₇	1	1	1	1	1	-1	-1	1	1	1	1	-1	-1	-1	-1	-1	-1	-1	1	1	-1	-1	-1	-1	1	1
χ₁₈	2	2	-2	2	2	0	0	0	-2	0	0	0	0	-2	-2	2	-2	-2	0	0	0	2	0	0	0	0
χ₁₉	4	4	0	1	-2	0	2	0	0	0	0	0	-1	-4	-4	0	-1	2	0	-2	0	0	0	0	0	1
χ₂₀	4	4	0	1	-2	0	-2	0	0	0	0	0	1	-4	-4	0	-1	2	0	2	0	0	0	0	0	-1
χ₂₁	4	4	0	-2	1	2	0	0	0	0	0	-1	0	-4	-4	0	2	-1	-2	0	0	0	0	0	1	0
χ₂₂	4	4	0	-2	1	-2	0	0	0	0	0	1	0	-4	-4	0	2	-1	2	0	0	0	0	0	-1	0
χ₂₃	6	-3	2	0	0	0	0	0	-1	$\sqrt{3}$	$- \sqrt{3}$	0	0	-6	3	-2	0	0	0	0	0	1	$- \sqrt{3}$	$\sqrt{3}$	0	0
χ₂₄	6	-3	2	0	0	0	0	0	-1	$- \sqrt{3}$	$\sqrt{3}$	0	0	-6	3	-2	0	0	0	0	0	1	$\sqrt{3}$	$- \sqrt{3}$	0	0
χ₂₅	6	-3	-2	0	0	0	0	2	1	-1	-1	0	0	-6	3	2	0	0	0	0	-2	-1	1	1	0	0
χ₂₆	6	-3	-2	0	0	0	0	-2	1	1	1	0	0	-6	3	2	0	0	0	0	2	-1	-1	-1	0	0