Finite Group Databasebeta

← Group #5914

Character table — Group #5914

Order 192.

	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
size	1	1	2	2	2	3	3	6	6	6	6	6	6	6	8	8	12	12	12	12	12	12	16	16	16
order	1	2	2	2	4	2	2	2	2	4	4	4	4	4	3	6	2	4	4	4	4	4	6	6	12
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
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
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
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
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
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
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
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
χ₉	2	2	2	2	2	2	2	2	2	2	0	0	0	0	-1	-1	0	0	0	0	0	0	-1	-1	-1
χ₁₀	2	2	2	-2	-2	2	2	2	-2	-2	0	0	0	0	-1	-1	0	0	0	0	0	0	-1	1	1
χ₁₁	2	2	-2	2	-2	2	2	-2	2	-2	0	0	0	0	-1	-1	0	0	0	0	0	0	1	-1	1
χ₁₂	2	2	-2	-2	2	2	2	-2	-2	2	0	0	0	0	-1	-1	0	0	0	0	0	0	1	1	-1
χ₁₃	2	-2	0	0	0	2	-2	0	0	0	$2 i$	$- 2 i$	$2 i$	$- 2 i$	2	-2	0	0	0	0	0	0	0	0	0
χ₁₄	2	-2	0	0	0	2	-2	0	0	0	$- 2 i$	$2 i$	$- 2 i$	$2 i$	2	-2	0	0	0	0	0	0	0	0	0
χ₁₅	3	3	3	3	3	-1	-1	-1	-1	-1	1	1	-1	-1	0	0	1	1	1	-1	-1	-1	0	0	0
χ₁₆	3	3	3	3	3	-1	-1	-1	-1	-1	-1	-1	1	1	0	0	-1	-1	-1	1	1	1	0	0	0
χ₁₇	3	3	3	-3	-3	-1	-1	-1	1	1	1	1	-1	-1	0	0	-1	1	-1	1	-1	1	0	0	0
χ₁₈	3	3	3	-3	-3	-1	-1	-1	1	1	-1	-1	1	1	0	0	1	-1	1	-1	1	-1	0	0	0
χ₁₉	3	3	-3	3	-3	-1	-1	1	-1	1	1	1	-1	-1	0	0	-1	-1	1	1	1	-1	0	0	0
χ₂₀	3	3	-3	3	-3	-1	-1	1	-1	1	-1	-1	1	1	0	0	1	1	-1	-1	-1	1	0	0	0
χ₂₁	3	3	-3	-3	3	-1	-1	1	1	-1	1	1	-1	-1	0	0	1	-1	-1	-1	1	1	0	0	0
χ₂₂	3	3	-3	-3	3	-1	-1	1	1	-1	-1	-1	1	1	0	0	-1	1	1	1	-1	-1	0	0	0
χ₂₃	4	-4	0	0	0	4	-4	0	0	0	0	0	0	0	-2	2	0	0	0	0	0	0	0	0	0
χ₂₄	6	-6	0	0	0	-2	2	0	0	0	$2 i$	$- 2 i$	$- 2 i$	$2 i$	0	0	0	0	0	0	0	0	0	0	0
χ₂₅	6	-6	0	0	0	-2	2	0	0	0	$- 2 i$	$2 i$	$2 i$	$- 2 i$	0	0	0	0	0	0	0	0	0	0	0

Here i is the imaginary unit (i² = −1).