Group #11746475 — 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	1	2	2	2	2	2	4	4	4	4	4	4	4	4	4	4	4	8	8	8	8	8	8	8	8	10	10	10	10	12	12	12	12	12	12	12	12	12	12	20	20	20	20	40	40	40	40	40	40	60	60	120	120
order	1	2	3	4	6	8	8	5	10	12	20	20	24	24	40	40	40	40	15	30	60	60	120	120	120	120	2	4	12	12	16	16	80	80	80	80	80	80	80	80	6	8	24	24	8	8	24	24	24	24	16	16	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	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1	-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	-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	1	-1	-1	-1	-1	1	1	1	1	1	1	1	1	1	1	-1	-1	-1	-1	$i$	$- i$	$i$	$i$	$- i$	$- i$	-1	-1	$i$	$- i$
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	1	-1	-1	-1	-1	1	1	1	1	1	1	1	1	1	1	-1	-1	-1	-1	$- i$	$i$	$- i$	$- i$	$i$	$i$	-1	-1	$- i$	$i$
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	1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	$i$	$- i$	$i$	$i$	$- i$	$- i$	1	1	$- i$	$i$
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	1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	$- i$	$i$	$- i$	$- i$	$i$	$i$	1	1	$i$	$- i$
χ₉	2	2	2	2	2	-2	-2	2	2	2	2	2	-2	-2	-2	-2	-2	-2	2	2	2	2	-2	-2	-2	-2	2	2	2	2	0	0	0	0	0	0	0	0	0	0	2	-2	-2	-2	0	0	0	0	0	0	0	0	0	0
χ₁₀	2	2	2	2	2	-2	-2	2	2	2	2	2	-2	-2	-2	-2	-2	-2	2	2	2	2	-2	-2	-2	-2	-2	-2	-2	-2	0	0	0	0	0	0	0	0	0	0	-2	2	2	2	0	0	0	0	0	0	0	0	0	0
χ₁₁	2	2	2	-2	2	0	0	2	2	-2	-2	-2	0	0	0	0	0	0	2	2	-2	-2	0	0	0	0	2	-2	-2	-2	$- i \sqrt{2}$	$i \sqrt{2}$	$- i \sqrt{2}$	$- i \sqrt{2}$	$- i \sqrt{2}$	$- i \sqrt{2}$	$i \sqrt{2}$	$i \sqrt{2}$	$i \sqrt{2}$	$i \sqrt{2}$	2	0	0	0	0	0	0	0	0	0	$- i \sqrt{2}$	$i \sqrt{2}$	0	0
χ₁₂	2	2	2	-2	2	0	0	2	2	-2	-2	-2	0	0	0	0	0	0	2	2	-2	-2	0	0	0	0	2	-2	-2	-2	$i \sqrt{2}$	$- i \sqrt{2}$	$i \sqrt{2}$	$i \sqrt{2}$	$i \sqrt{2}$	$i \sqrt{2}$	$- i \sqrt{2}$	$- i \sqrt{2}$	$- i \sqrt{2}$	$- i \sqrt{2}$	2	0	0	0	0	0	0	0	0	0	$i \sqrt{2}$	$- i \sqrt{2}$	0	0
χ₁₃	2	2	2	-2	2	0	0	2	2	-2	-2	-2	0	0	0	0	0	0	2	2	-2	-2	0	0	0	0	-2	2	2	2	$- i \sqrt{2}$	$i \sqrt{2}$	$- i \sqrt{2}$	$- i \sqrt{2}$	$- i \sqrt{2}$	$- i \sqrt{2}$	$i \sqrt{2}$	$i \sqrt{2}$	$i \sqrt{2}$	$i \sqrt{2}$	-2	0	0	0	0	0	0	0	0	0	$i \sqrt{2}$	$- i \sqrt{2}$	0	0
χ₁₄	2	2	2	-2	2	0	0	2	2	-2	-2	-2	0	0	0	0	0	0	2	2	-2	-2	0	0	0	0	-2	2	2	2	$i \sqrt{2}$	$- i \sqrt{2}$	$i \sqrt{2}$	$i \sqrt{2}$	$i \sqrt{2}$	$i \sqrt{2}$	$- i \sqrt{2}$	$- i \sqrt{2}$	$- i \sqrt{2}$	$- i \sqrt{2}$	-2	0	0	0	0	0	0	0	0	0	$- i \sqrt{2}$	$i \sqrt{2}$	0	0
χ₁₅	2	2	-1	2	-1	2	2	2	2	-1	2	2	-1	-1	2	2	2	2	-1	-1	-1	-1	-1	-1	-1	-1	2	2	-1	-1	0	0	0	0	0	0	0	0	0	0	-1	2	-1	-1	2	2	-1	-1	-1	-1	0	0	0	0
χ₁₆	2	2	-1	2	-1	2	2	2	2	-1	2	2	-1	-1	2	2	2	2	-1	-1	-1	-1	-1	-1	-1	-1	2	2	-1	-1	0	0	0	0	0	0	0	0	0	0	-1	2	-1	-1	-2	-2	1	1	1	1	0	0	0	0
χ₁₇	2	2	-1	2	-1	2	2	2	2	-1	2	2	-1	-1	2	2	2	2	-1	-1	-1	-1	-1	-1	-1	-1	-2	-2	1	1	0	0	0	0	0	0	0	0	0	0	1	-2	1	1	$2 i$	$- 2 i$	$- i$	$- i$	$i$	$i$	0	0	0	0
χ₁₈	2	2	-1	2	-1	2	2	2	2	-1	2	2	-1	-1	2	2	2	2	-1	-1	-1	-1	-1	-1	-1	-1	-2	-2	1	1	0	0	0	0	0	0	0	0	0	0	1	-2	1	1	$- 2 i$	$2 i$	$i$	$i$	$- i$	$- i$	0	0	0	0
χ₁₉	2	2	-1	2	-1	-2	-2	2	2	-1	2	2	1	1	-2	-2	-2	-2	-1	-1	-1	-1	1	1	1	1	2	2	-1	-1	0	0	0	0	0	0	0	0	0	0	-1	-2	1	1	0	0	$- i \sqrt{3}$	$i \sqrt{3}$	$- i \sqrt{3}$	$i \sqrt{3}$	0	0	0	0
χ₂₀	2	2	-1	2	-1	-2	-2	2	2	-1	2	2	1	1	-2	-2	-2	-2	-1	-1	-1	-1	1	1	1	1	2	2	-1	-1	0	0	0	0	0	0	0	0	0	0	-1	-2	1	1	0	0	$i \sqrt{3}$	$- i \sqrt{3}$	$i \sqrt{3}$	$- i \sqrt{3}$	0	0	0	0
χ₂₁	2	2	-1	2	-1	-2	-2	2	2	-1	2	2	1	1	-2	-2	-2	-2	-1	-1	-1	-1	1	1	1	1	-2	-2	1	1	0	0	0	0	0	0	0	0	0	0	1	2	-1	-1	0	0	$\sqrt{3}$	$- \sqrt{3}$	$- \sqrt{3}$	$\sqrt{3}$	0	0	0	0
χ₂₂	2	2	-1	2	-1	-2	-2	2	2	-1	2	2	1	1	-2	-2	-2	-2	-1	-1	-1	-1	1	1	1	1	-2	-2	1	1	0	0	0	0	0	0	0	0	0	0	1	2	-1	-1	0	0	$- \sqrt{3}$	$\sqrt{3}$	$\sqrt{3}$	$- \sqrt{3}$	0	0	0	0
χ₂₃	4	4	4	4	4	4	4	-1	-1	4	-1	-1	4	4	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	0	0	0	0	4	4	-1	-1	-1	-1	-1	-1	-1	-1	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₂₄	4	4	4	4	4	4	4	-1	-1	4	-1	-1	4	4	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	-1	0	0	0	0	-4	-4	1	1	1	1	1	1	1	1	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₂₅	4	4	4	4	4	-4	-4	-1	-1	4	-1	-1	-4	-4	1	1	1	1	-1	-1	-1	-1	1	1	1	1	0	0	0	0	0	0	$- i \sqrt{5}$	$- i \sqrt{5}$	$i \sqrt{5}$	$i \sqrt{5}$	$- i \sqrt{5}$	$- i \sqrt{5}$	$i \sqrt{5}$	$i \sqrt{5}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₂₆	4	4	4	4	4	-4	-4	-1	-1	4	-1	-1	-4	-4	1	1	1	1	-1	-1	-1	-1	1	1	1	1	0	0	0	0	0	0	$i \sqrt{5}$	$i \sqrt{5}$	$- i \sqrt{5}$	$- i \sqrt{5}$	$i \sqrt{5}$	$i \sqrt{5}$	$- i \sqrt{5}$	$- i \sqrt{5}$	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₂₇	4	4	4	-4	4	0	0	-1	-1	-4	1	1	0	0	$- i \sqrt{5}$	$- i \sqrt{5}$	$i \sqrt{5}$	$i \sqrt{5}$	-1	-1	1	1	$- i \sqrt{5}$	$- i \sqrt{5}$	$i \sqrt{5}$	$i \sqrt{5}$	0	0	0	0	$- 2 i \sqrt{2}$	$2 i \sqrt{2}$	ζ¹⁴+ζ⁴⁶+ζ⁵⁸+ζ⁹⁴+ζ¹²²+ζ²⁰²+ζ²⁰⁶+ζ²¹⁸	ζ¹⁴+ζ⁴⁶+ζ⁵⁸+ζ⁹⁴+ζ¹²²+ζ²⁰²+ζ²⁰⁶+ζ²¹⁸	ζ²⁶+ζ⁶²+ζ⁷⁴+ζ¹⁰⁶+ζ¹⁴²+ζ¹⁵⁴+ζ¹⁵⁸+ζ²³⁸	ζ²⁶+ζ⁶²+ζ⁷⁴+ζ¹⁰⁶+ζ¹⁴²+ζ¹⁵⁴+ζ¹⁵⁸+ζ²³⁸	−ζ¹⁴−ζ⁴⁶−ζ⁵⁸−ζ⁹⁴−ζ¹²²−ζ²⁰²−ζ²⁰⁶−ζ²¹⁸	−ζ¹⁴−ζ⁴⁶−ζ⁵⁸−ζ⁹⁴−ζ¹²²−ζ²⁰²−ζ²⁰⁶−ζ²¹⁸	−ζ²⁶−ζ⁶²−ζ⁷⁴−ζ¹⁰⁶−ζ¹⁴²−ζ¹⁵⁴−ζ¹⁵⁸−ζ²³⁸	−ζ²⁶−ζ⁶²−ζ⁷⁴−ζ¹⁰⁶−ζ¹⁴²−ζ¹⁵⁴−ζ¹⁵⁸−ζ²³⁸	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₂₈	4	4	4	-4	4	0	0	-1	-1	-4	1	1	0	0	$- i \sqrt{5}$	$- i \sqrt{5}$	$i \sqrt{5}$	$i \sqrt{5}$	-1	-1	1	1	$- i \sqrt{5}$	$- i \sqrt{5}$	$i \sqrt{5}$	$i \sqrt{5}$	0	0	0	0	$2 i \sqrt{2}$	$- 2 i \sqrt{2}$	−ζ¹⁴−ζ⁴⁶−ζ⁵⁸−ζ⁹⁴−ζ¹²²−ζ²⁰²−ζ²⁰⁶−ζ²¹⁸	−ζ¹⁴−ζ⁴⁶−ζ⁵⁸−ζ⁹⁴−ζ¹²²−ζ²⁰²−ζ²⁰⁶−ζ²¹⁸	−ζ²⁶−ζ⁶²−ζ⁷⁴−ζ¹⁰⁶−ζ¹⁴²−ζ¹⁵⁴−ζ¹⁵⁸−ζ²³⁸	−ζ²⁶−ζ⁶²−ζ⁷⁴−ζ¹⁰⁶−ζ¹⁴²−ζ¹⁵⁴−ζ¹⁵⁸−ζ²³⁸	ζ¹⁴+ζ⁴⁶+ζ⁵⁸+ζ⁹⁴+ζ¹²²+ζ²⁰²+ζ²⁰⁶+ζ²¹⁸	ζ¹⁴+ζ⁴⁶+ζ⁵⁸+ζ⁹⁴+ζ¹²²+ζ²⁰²+ζ²⁰⁶+ζ²¹⁸	ζ²⁶+ζ⁶²+ζ⁷⁴+ζ¹⁰⁶+ζ¹⁴²+ζ¹⁵⁴+ζ¹⁵⁸+ζ²³⁸	ζ²⁶+ζ⁶²+ζ⁷⁴+ζ¹⁰⁶+ζ¹⁴²+ζ¹⁵⁴+ζ¹⁵⁸+ζ²³⁸	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₂₉	4	4	4	-4	4	0	0	-1	-1	-4	1	1	0	0	$i \sqrt{5}$	$i \sqrt{5}$	$- i \sqrt{5}$	$- i \sqrt{5}$	-1	-1	1	1	$i \sqrt{5}$	$i \sqrt{5}$	$- i \sqrt{5}$	$- i \sqrt{5}$	0	0	0	0	$- 2 i \sqrt{2}$	$2 i \sqrt{2}$	ζ²⁶+ζ⁶²+ζ⁷⁴+ζ¹⁰⁶+ζ¹⁴²+ζ¹⁵⁴+ζ¹⁵⁸+ζ²³⁸	ζ²⁶+ζ⁶²+ζ⁷⁴+ζ¹⁰⁶+ζ¹⁴²+ζ¹⁵⁴+ζ¹⁵⁸+ζ²³⁸	ζ¹⁴+ζ⁴⁶+ζ⁵⁸+ζ⁹⁴+ζ¹²²+ζ²⁰²+ζ²⁰⁶+ζ²¹⁸	ζ¹⁴+ζ⁴⁶+ζ⁵⁸+ζ⁹⁴+ζ¹²²+ζ²⁰²+ζ²⁰⁶+ζ²¹⁸	−ζ²⁶−ζ⁶²−ζ⁷⁴−ζ¹⁰⁶−ζ¹⁴²−ζ¹⁵⁴−ζ¹⁵⁸−ζ²³⁸	−ζ²⁶−ζ⁶²−ζ⁷⁴−ζ¹⁰⁶−ζ¹⁴²−ζ¹⁵⁴−ζ¹⁵⁸−ζ²³⁸	−ζ¹⁴−ζ⁴⁶−ζ⁵⁸−ζ⁹⁴−ζ¹²²−ζ²⁰²−ζ²⁰⁶−ζ²¹⁸	−ζ¹⁴−ζ⁴⁶−ζ⁵⁸−ζ⁹⁴−ζ¹²²−ζ²⁰²−ζ²⁰⁶−ζ²¹⁸	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₃₀	4	4	4	-4	4	0	0	-1	-1	-4	1	1	0	0	$i \sqrt{5}$	$i \sqrt{5}$	$- i \sqrt{5}$	$- i \sqrt{5}$	-1	-1	1	1	$i \sqrt{5}$	$i \sqrt{5}$	$- i \sqrt{5}$	$- i \sqrt{5}$	0	0	0	0	$2 i \sqrt{2}$	$- 2 i \sqrt{2}$	−ζ²⁶−ζ⁶²−ζ⁷⁴−ζ¹⁰⁶−ζ¹⁴²−ζ¹⁵⁴−ζ¹⁵⁸−ζ²³⁸	−ζ²⁶−ζ⁶²−ζ⁷⁴−ζ¹⁰⁶−ζ¹⁴²−ζ¹⁵⁴−ζ¹⁵⁸−ζ²³⁸	−ζ¹⁴−ζ⁴⁶−ζ⁵⁸−ζ⁹⁴−ζ¹²²−ζ²⁰²−ζ²⁰⁶−ζ²¹⁸	−ζ¹⁴−ζ⁴⁶−ζ⁵⁸−ζ⁹⁴−ζ¹²²−ζ²⁰²−ζ²⁰⁶−ζ²¹⁸	ζ²⁶+ζ⁶²+ζ⁷⁴+ζ¹⁰⁶+ζ¹⁴²+ζ¹⁵⁴+ζ¹⁵⁸+ζ²³⁸	ζ²⁶+ζ⁶²+ζ⁷⁴+ζ¹⁰⁶+ζ¹⁴²+ζ¹⁵⁴+ζ¹⁵⁸+ζ²³⁸	ζ¹⁴+ζ⁴⁶+ζ⁵⁸+ζ⁹⁴+ζ¹²²+ζ²⁰²+ζ²⁰⁶+ζ²¹⁸	ζ¹⁴+ζ⁴⁶+ζ⁵⁸+ζ⁹⁴+ζ¹²²+ζ²⁰²+ζ²⁰⁶+ζ²¹⁸	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₃₁	4	4	-2	-4	-2	0	0	4	4	2	-4	-4	0	0	0	0	0	0	-2	-2	2	2	0	0	0	0	4	-4	2	2	0	0	0	0	0	0	0	0	0	0	-2	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₃₂	4	4	-2	-4	-2	0	0	4	4	2	-4	-4	0	0	0	0	0	0	-2	-2	2	2	0	0	0	0	-4	4	-2	-2	0	0	0	0	0	0	0	0	0	0	2	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₃₃	4	-4	4	0	-4	$- 2 i \sqrt{2}$	$2 i \sqrt{2}$	4	-4	0	0	0	$- 2 i \sqrt{2}$	$2 i \sqrt{2}$	$- 2 i \sqrt{2}$	$2 i \sqrt{2}$	$- 2 i \sqrt{2}$	$2 i \sqrt{2}$	4	-4	0	0	$- 2 i \sqrt{2}$	$2 i \sqrt{2}$	$- 2 i \sqrt{2}$	$2 i \sqrt{2}$	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	0	0	0
χ₃₄	4	-4	4	0	-4	$- 2 i \sqrt{2}$	$2 i \sqrt{2}$	-1	1	0	$- i \sqrt{5}$	$i \sqrt{5}$	$- 2 i \sqrt{2}$	$2 i \sqrt{2}$	ζ¹⁴+ζ⁴⁶+ζ⁵⁸+ζ⁹⁴+ζ¹²²+ζ²⁰²+ζ²⁰⁶+ζ²¹⁸	−ζ¹⁴−ζ⁴⁶−ζ⁵⁸−ζ⁹⁴−ζ¹²²−ζ²⁰²−ζ²⁰⁶−ζ²¹⁸	ζ²⁶+ζ⁶²+ζ⁷⁴+ζ¹⁰⁶+ζ¹⁴²+ζ¹⁵⁴+ζ¹⁵⁸+ζ²³⁸	−ζ²⁶−ζ⁶²−ζ⁷⁴−ζ¹⁰⁶−ζ¹⁴²−ζ¹⁵⁴−ζ¹⁵⁸−ζ²³⁸	-1	1	$- i \sqrt{5}$	$i \sqrt{5}$	ζ¹⁴+ζ⁴⁶+ζ⁵⁸+ζ⁹⁴+ζ¹²²+ζ²⁰²+ζ²⁰⁶+ζ²¹⁸	−ζ¹⁴−ζ⁴⁶−ζ⁵⁸−ζ⁹⁴−ζ¹²²−ζ²⁰²−ζ²⁰⁶−ζ²¹⁸	ζ²⁶+ζ⁶²+ζ⁷⁴+ζ¹⁰⁶+ζ¹⁴²+ζ¹⁵⁴+ζ¹⁵⁸+ζ²³⁸	−ζ²⁶−ζ⁶²−ζ⁷⁴−ζ¹⁰⁶−ζ¹⁴²−ζ¹⁵⁴−ζ¹⁵⁸−ζ²³⁸	0	0	0	0	0	0	ζ¹¹−ζ⁵⁹−ζ⁷³+ζ⁹¹+ζ¹³⁷−ζ¹³⁹+ζ²¹⁷−ζ²³³	−ζ¹¹+ζ⁵⁹+ζ⁷³−ζ⁹¹−ζ¹³⁷+ζ¹³⁹−ζ²¹⁷+ζ²³³	−ζ⁴¹−ζ⁴³+ζ⁸⁹+ζ¹⁰⁷−ζ¹²¹+ζ¹⁶⁹+ζ¹⁸⁷−ζ²⁰³	ζ⁴¹+ζ⁴³−ζ⁸⁹−ζ¹⁰⁷+ζ¹²¹−ζ¹⁶⁹−ζ¹⁸⁷+ζ²⁰³	−ζ¹³−ζ³¹+ζ⁷⁷+ζ⁷⁹+ζ¹⁵⁷−ζ¹⁷³−ζ¹⁹¹+ζ²³⁹	ζ¹³+ζ³¹−ζ⁷⁷−ζ⁷⁹−ζ¹⁵⁷+ζ¹⁷³+ζ¹⁹¹−ζ²³⁹	−ζ²⁹+ζ⁴⁷+ζ⁶¹−ζ¹⁰⁹+ζ¹²⁷−ζ¹⁴³+ζ²²¹−ζ²²³	ζ²⁹−ζ⁴⁷−ζ⁶¹+ζ¹⁰⁹−ζ¹²⁷+ζ¹⁴³−ζ²²¹+ζ²²³	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₃₅	4	-4	4	0	-4	$- 2 i \sqrt{2}$	$2 i \sqrt{2}$	-1	1	0	$- i \sqrt{5}$	$i \sqrt{5}$	$- 2 i \sqrt{2}$	$2 i \sqrt{2}$	ζ¹⁴+ζ⁴⁶+ζ⁵⁸+ζ⁹⁴+ζ¹²²+ζ²⁰²+ζ²⁰⁶+ζ²¹⁸	−ζ¹⁴−ζ⁴⁶−ζ⁵⁸−ζ⁹⁴−ζ¹²²−ζ²⁰²−ζ²⁰⁶−ζ²¹⁸	ζ²⁶+ζ⁶²+ζ⁷⁴+ζ¹⁰⁶+ζ¹⁴²+ζ¹⁵⁴+ζ¹⁵⁸+ζ²³⁸	−ζ²⁶−ζ⁶²−ζ⁷⁴−ζ¹⁰⁶−ζ¹⁴²−ζ¹⁵⁴−ζ¹⁵⁸−ζ²³⁸	-1	1	$- i \sqrt{5}$	$i \sqrt{5}$	ζ¹⁴+ζ⁴⁶+ζ⁵⁸+ζ⁹⁴+ζ¹²²+ζ²⁰²+ζ²⁰⁶+ζ²¹⁸	−ζ¹⁴−ζ⁴⁶−ζ⁵⁸−ζ⁹⁴−ζ¹²²−ζ²⁰²−ζ²⁰⁶−ζ²¹⁸	ζ²⁶+ζ⁶²+ζ⁷⁴+ζ¹⁰⁶+ζ¹⁴²+ζ¹⁵⁴+ζ¹⁵⁸+ζ²³⁸	−ζ²⁶−ζ⁶²−ζ⁷⁴−ζ¹⁰⁶−ζ¹⁴²−ζ¹⁵⁴−ζ¹⁵⁸−ζ²³⁸	0	0	0	0	0	0	−ζ¹¹+ζ⁵⁹+ζ⁷³−ζ⁹¹−ζ¹³⁷+ζ¹³⁹−ζ²¹⁷+ζ²³³	ζ¹¹−ζ⁵⁹−ζ⁷³+ζ⁹¹+ζ¹³⁷−ζ¹³⁹+ζ²¹⁷−ζ²³³	ζ⁴¹+ζ⁴³−ζ⁸⁹−ζ¹⁰⁷+ζ¹²¹−ζ¹⁶⁹−ζ¹⁸⁷+ζ²⁰³	−ζ⁴¹−ζ⁴³+ζ⁸⁹+ζ¹⁰⁷−ζ¹²¹+ζ¹⁶⁹+ζ¹⁸⁷−ζ²⁰³	ζ¹³+ζ³¹−ζ⁷⁷−ζ⁷⁹−ζ¹⁵⁷+ζ¹⁷³+ζ¹⁹¹−ζ²³⁹	−ζ¹³−ζ³¹+ζ⁷⁷+ζ⁷⁹+ζ¹⁵⁷−ζ¹⁷³−ζ¹⁹¹+ζ²³⁹	ζ²⁹−ζ⁴⁷−ζ⁶¹+ζ¹⁰⁹−ζ¹²⁷+ζ¹⁴³−ζ²²¹+ζ²²³	−ζ²⁹+ζ⁴⁷+ζ⁶¹−ζ¹⁰⁹+ζ¹²⁷−ζ¹⁴³+ζ²²¹−ζ²²³	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₃₆	4	-4	4	0	-4	$- 2 i \sqrt{2}$	$2 i \sqrt{2}$	-1	1	0	$i \sqrt{5}$	$- i \sqrt{5}$	$- 2 i \sqrt{2}$	$2 i \sqrt{2}$	ζ²⁶+ζ⁶²+ζ⁷⁴+ζ¹⁰⁶+ζ¹⁴²+ζ¹⁵⁴+ζ¹⁵⁸+ζ²³⁸	−ζ²⁶−ζ⁶²−ζ⁷⁴−ζ¹⁰⁶−ζ¹⁴²−ζ¹⁵⁴−ζ¹⁵⁸−ζ²³⁸	ζ¹⁴+ζ⁴⁶+ζ⁵⁸+ζ⁹⁴+ζ¹²²+ζ²⁰²+ζ²⁰⁶+ζ²¹⁸	−ζ¹⁴−ζ⁴⁶−ζ⁵⁸−ζ⁹⁴−ζ¹²²−ζ²⁰²−ζ²⁰⁶−ζ²¹⁸	-1	1	$i \sqrt{5}$	$- i \sqrt{5}$	ζ²⁶+ζ⁶²+ζ⁷⁴+ζ¹⁰⁶+ζ¹⁴²+ζ¹⁵⁴+ζ¹⁵⁸+ζ²³⁸	−ζ²⁶−ζ⁶²−ζ⁷⁴−ζ¹⁰⁶−ζ¹⁴²−ζ¹⁵⁴−ζ¹⁵⁸−ζ²³⁸	ζ¹⁴+ζ⁴⁶+ζ⁵⁸+ζ⁹⁴+ζ¹²²+ζ²⁰²+ζ²⁰⁶+ζ²¹⁸	−ζ¹⁴−ζ⁴⁶−ζ⁵⁸−ζ⁹⁴−ζ¹²²−ζ²⁰²−ζ²⁰⁶−ζ²¹⁸	0	0	0	0	0	0	−ζ⁴¹−ζ⁴³+ζ⁸⁹+ζ¹⁰⁷−ζ¹²¹+ζ¹⁶⁹+ζ¹⁸⁷−ζ²⁰³	ζ⁴¹+ζ⁴³−ζ⁸⁹−ζ¹⁰⁷+ζ¹²¹−ζ¹⁶⁹−ζ¹⁸⁷+ζ²⁰³	−ζ¹¹+ζ⁵⁹+ζ⁷³−ζ⁹¹−ζ¹³⁷+ζ¹³⁹−ζ²¹⁷+ζ²³³	ζ¹¹−ζ⁵⁹−ζ⁷³+ζ⁹¹+ζ¹³⁷−ζ¹³⁹+ζ²¹⁷−ζ²³³	ζ²⁹−ζ⁴⁷−ζ⁶¹+ζ¹⁰⁹−ζ¹²⁷+ζ¹⁴³−ζ²²¹+ζ²²³	−ζ²⁹+ζ⁴⁷+ζ⁶¹−ζ¹⁰⁹+ζ¹²⁷−ζ¹⁴³+ζ²²¹−ζ²²³	−ζ¹³−ζ³¹+ζ⁷⁷+ζ⁷⁹+ζ¹⁵⁷−ζ¹⁷³−ζ¹⁹¹+ζ²³⁹	ζ¹³+ζ³¹−ζ⁷⁷−ζ⁷⁹−ζ¹⁵⁷+ζ¹⁷³+ζ¹⁹¹−ζ²³⁹	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₃₇	4	-4	4	0	-4	$- 2 i \sqrt{2}$	$2 i \sqrt{2}$	-1	1	0	$i \sqrt{5}$	$- i \sqrt{5}$	$- 2 i \sqrt{2}$	$2 i \sqrt{2}$	ζ²⁶+ζ⁶²+ζ⁷⁴+ζ¹⁰⁶+ζ¹⁴²+ζ¹⁵⁴+ζ¹⁵⁸+ζ²³⁸	−ζ²⁶−ζ⁶²−ζ⁷⁴−ζ¹⁰⁶−ζ¹⁴²−ζ¹⁵⁴−ζ¹⁵⁸−ζ²³⁸	ζ¹⁴+ζ⁴⁶+ζ⁵⁸+ζ⁹⁴+ζ¹²²+ζ²⁰²+ζ²⁰⁶+ζ²¹⁸	−ζ¹⁴−ζ⁴⁶−ζ⁵⁸−ζ⁹⁴−ζ¹²²−ζ²⁰²−ζ²⁰⁶−ζ²¹⁸	-1	1	$i \sqrt{5}$	$- i \sqrt{5}$	ζ²⁶+ζ⁶²+ζ⁷⁴+ζ¹⁰⁶+ζ¹⁴²+ζ¹⁵⁴+ζ¹⁵⁸+ζ²³⁸	−ζ²⁶−ζ⁶²−ζ⁷⁴−ζ¹⁰⁶−ζ¹⁴²−ζ¹⁵⁴−ζ¹⁵⁸−ζ²³⁸	ζ¹⁴+ζ⁴⁶+ζ⁵⁸+ζ⁹⁴+ζ¹²²+ζ²⁰²+ζ²⁰⁶+ζ²¹⁸	−ζ¹⁴−ζ⁴⁶−ζ⁵⁸−ζ⁹⁴−ζ¹²²−ζ²⁰²−ζ²⁰⁶−ζ²¹⁸	0	0	0	0	0	0	ζ⁴¹+ζ⁴³−ζ⁸⁹−ζ¹⁰⁷+ζ¹²¹−ζ¹⁶⁹−ζ¹⁸⁷+ζ²⁰³	−ζ⁴¹−ζ⁴³+ζ⁸⁹+ζ¹⁰⁷−ζ¹²¹+ζ¹⁶⁹+ζ¹⁸⁷−ζ²⁰³	ζ¹¹−ζ⁵⁹−ζ⁷³+ζ⁹¹+ζ¹³⁷−ζ¹³⁹+ζ²¹⁷−ζ²³³	−ζ¹¹+ζ⁵⁹+ζ⁷³−ζ⁹¹−ζ¹³⁷+ζ¹³⁹−ζ²¹⁷+ζ²³³	−ζ²⁹+ζ⁴⁷+ζ⁶¹−ζ¹⁰⁹+ζ¹²⁷−ζ¹⁴³+ζ²²¹−ζ²²³	ζ²⁹−ζ⁴⁷−ζ⁶¹+ζ¹⁰⁹−ζ¹²⁷+ζ¹⁴³−ζ²²¹+ζ²²³	ζ¹³+ζ³¹−ζ⁷⁷−ζ⁷⁹−ζ¹⁵⁷+ζ¹⁷³+ζ¹⁹¹−ζ²³⁹	−ζ¹³−ζ³¹+ζ⁷⁷+ζ⁷⁹+ζ¹⁵⁷−ζ¹⁷³−ζ¹⁹¹+ζ²³⁹	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₃₈	4	-4	4	0	-4	$2 i \sqrt{2}$	$- 2 i \sqrt{2}$	4	-4	0	0	0	$2 i \sqrt{2}$	$- 2 i \sqrt{2}$	$2 i \sqrt{2}$	$- 2 i \sqrt{2}$	$2 i \sqrt{2}$	$- 2 i \sqrt{2}$	4	-4	0	0	$2 i \sqrt{2}$	$- 2 i \sqrt{2}$	$2 i \sqrt{2}$	$- 2 i \sqrt{2}$	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	0	0	0
χ₃₉	4	-4	4	0	-4	$2 i \sqrt{2}$	$- 2 i \sqrt{2}$	-1	1	0	$- i \sqrt{5}$	$i \sqrt{5}$	$2 i \sqrt{2}$	$- 2 i \sqrt{2}$	−ζ¹⁴−ζ⁴⁶−ζ⁵⁸−ζ⁹⁴−ζ¹²²−ζ²⁰²−ζ²⁰⁶−ζ²¹⁸	ζ¹⁴+ζ⁴⁶+ζ⁵⁸+ζ⁹⁴+ζ¹²²+ζ²⁰²+ζ²⁰⁶+ζ²¹⁸	−ζ²⁶−ζ⁶²−ζ⁷⁴−ζ¹⁰⁶−ζ¹⁴²−ζ¹⁵⁴−ζ¹⁵⁸−ζ²³⁸	ζ²⁶+ζ⁶²+ζ⁷⁴+ζ¹⁰⁶+ζ¹⁴²+ζ¹⁵⁴+ζ¹⁵⁸+ζ²³⁸	-1	1	$- i \sqrt{5}$	$i \sqrt{5}$	−ζ¹⁴−ζ⁴⁶−ζ⁵⁸−ζ⁹⁴−ζ¹²²−ζ²⁰²−ζ²⁰⁶−ζ²¹⁸	ζ¹⁴+ζ⁴⁶+ζ⁵⁸+ζ⁹⁴+ζ¹²²+ζ²⁰²+ζ²⁰⁶+ζ²¹⁸	−ζ²⁶−ζ⁶²−ζ⁷⁴−ζ¹⁰⁶−ζ¹⁴²−ζ¹⁵⁴−ζ¹⁵⁸−ζ²³⁸	ζ²⁶+ζ⁶²+ζ⁷⁴+ζ¹⁰⁶+ζ¹⁴²+ζ¹⁵⁴+ζ¹⁵⁸+ζ²³⁸	0	0	0	0	0	0	−ζ¹³−ζ³¹+ζ⁷⁷+ζ⁷⁹+ζ¹⁵⁷−ζ¹⁷³−ζ¹⁹¹+ζ²³⁹	ζ¹³+ζ³¹−ζ⁷⁷−ζ⁷⁹−ζ¹⁵⁷+ζ¹⁷³+ζ¹⁹¹−ζ²³⁹	ζ²⁹−ζ⁴⁷−ζ⁶¹+ζ¹⁰⁹−ζ¹²⁷+ζ¹⁴³−ζ²²¹+ζ²²³	−ζ²⁹+ζ⁴⁷+ζ⁶¹−ζ¹⁰⁹+ζ¹²⁷−ζ¹⁴³+ζ²²¹−ζ²²³	−ζ¹¹+ζ⁵⁹+ζ⁷³−ζ⁹¹−ζ¹³⁷+ζ¹³⁹−ζ²¹⁷+ζ²³³	ζ¹¹−ζ⁵⁹−ζ⁷³+ζ⁹¹+ζ¹³⁷−ζ¹³⁹+ζ²¹⁷−ζ²³³	−ζ⁴¹−ζ⁴³+ζ⁸⁹+ζ¹⁰⁷−ζ¹²¹+ζ¹⁶⁹+ζ¹⁸⁷−ζ²⁰³	ζ⁴¹+ζ⁴³−ζ⁸⁹−ζ¹⁰⁷+ζ¹²¹−ζ¹⁶⁹−ζ¹⁸⁷+ζ²⁰³	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₄₀	4	-4	4	0	-4	$2 i \sqrt{2}$	$- 2 i \sqrt{2}$	-1	1	0	$- i \sqrt{5}$	$i \sqrt{5}$	$2 i \sqrt{2}$	$- 2 i \sqrt{2}$	−ζ¹⁴−ζ⁴⁶−ζ⁵⁸−ζ⁹⁴−ζ¹²²−ζ²⁰²−ζ²⁰⁶−ζ²¹⁸	ζ¹⁴+ζ⁴⁶+ζ⁵⁸+ζ⁹⁴+ζ¹²²+ζ²⁰²+ζ²⁰⁶+ζ²¹⁸	−ζ²⁶−ζ⁶²−ζ⁷⁴−ζ¹⁰⁶−ζ¹⁴²−ζ¹⁵⁴−ζ¹⁵⁸−ζ²³⁸	ζ²⁶+ζ⁶²+ζ⁷⁴+ζ¹⁰⁶+ζ¹⁴²+ζ¹⁵⁴+ζ¹⁵⁸+ζ²³⁸	-1	1	$- i \sqrt{5}$	$i \sqrt{5}$	−ζ¹⁴−ζ⁴⁶−ζ⁵⁸−ζ⁹⁴−ζ¹²²−ζ²⁰²−ζ²⁰⁶−ζ²¹⁸	ζ¹⁴+ζ⁴⁶+ζ⁵⁸+ζ⁹⁴+ζ¹²²+ζ²⁰²+ζ²⁰⁶+ζ²¹⁸	−ζ²⁶−ζ⁶²−ζ⁷⁴−ζ¹⁰⁶−ζ¹⁴²−ζ¹⁵⁴−ζ¹⁵⁸−ζ²³⁸	ζ²⁶+ζ⁶²+ζ⁷⁴+ζ¹⁰⁶+ζ¹⁴²+ζ¹⁵⁴+ζ¹⁵⁸+ζ²³⁸	0	0	0	0	0	0	ζ¹³+ζ³¹−ζ⁷⁷−ζ⁷⁹−ζ¹⁵⁷+ζ¹⁷³+ζ¹⁹¹−ζ²³⁹	−ζ¹³−ζ³¹+ζ⁷⁷+ζ⁷⁹+ζ¹⁵⁷−ζ¹⁷³−ζ¹⁹¹+ζ²³⁹	−ζ²⁹+ζ⁴⁷+ζ⁶¹−ζ¹⁰⁹+ζ¹²⁷−ζ¹⁴³+ζ²²¹−ζ²²³	ζ²⁹−ζ⁴⁷−ζ⁶¹+ζ¹⁰⁹−ζ¹²⁷+ζ¹⁴³−ζ²²¹+ζ²²³	ζ¹¹−ζ⁵⁹−ζ⁷³+ζ⁹¹+ζ¹³⁷−ζ¹³⁹+ζ²¹⁷−ζ²³³	−ζ¹¹+ζ⁵⁹+ζ⁷³−ζ⁹¹−ζ¹³⁷+ζ¹³⁹−ζ²¹⁷+ζ²³³	ζ⁴¹+ζ⁴³−ζ⁸⁹−ζ¹⁰⁷+ζ¹²¹−ζ¹⁶⁹−ζ¹⁸⁷+ζ²⁰³	−ζ⁴¹−ζ⁴³+ζ⁸⁹+ζ¹⁰⁷−ζ¹²¹+ζ¹⁶⁹+ζ¹⁸⁷−ζ²⁰³	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₄₁	4	-4	4	0	-4	$2 i \sqrt{2}$	$- 2 i \sqrt{2}$	-1	1	0	$i \sqrt{5}$	$- i \sqrt{5}$	$2 i \sqrt{2}$	$- 2 i \sqrt{2}$	−ζ²⁶−ζ⁶²−ζ⁷⁴−ζ¹⁰⁶−ζ¹⁴²−ζ¹⁵⁴−ζ¹⁵⁸−ζ²³⁸	ζ²⁶+ζ⁶²+ζ⁷⁴+ζ¹⁰⁶+ζ¹⁴²+ζ¹⁵⁴+ζ¹⁵⁸+ζ²³⁸	−ζ¹⁴−ζ⁴⁶−ζ⁵⁸−ζ⁹⁴−ζ¹²²−ζ²⁰²−ζ²⁰⁶−ζ²¹⁸	ζ¹⁴+ζ⁴⁶+ζ⁵⁸+ζ⁹⁴+ζ¹²²+ζ²⁰²+ζ²⁰⁶+ζ²¹⁸	-1	1	$i \sqrt{5}$	$- i \sqrt{5}$	−ζ²⁶−ζ⁶²−ζ⁷⁴−ζ¹⁰⁶−ζ¹⁴²−ζ¹⁵⁴−ζ¹⁵⁸−ζ²³⁸	ζ²⁶+ζ⁶²+ζ⁷⁴+ζ¹⁰⁶+ζ¹⁴²+ζ¹⁵⁴+ζ¹⁵⁸+ζ²³⁸	−ζ¹⁴−ζ⁴⁶−ζ⁵⁸−ζ⁹⁴−ζ¹²²−ζ²⁰²−ζ²⁰⁶−ζ²¹⁸	ζ¹⁴+ζ⁴⁶+ζ⁵⁸+ζ⁹⁴+ζ¹²²+ζ²⁰²+ζ²⁰⁶+ζ²¹⁸	0	0	0	0	0	0	−ζ²⁹+ζ⁴⁷+ζ⁶¹−ζ¹⁰⁹+ζ¹²⁷−ζ¹⁴³+ζ²²¹−ζ²²³	ζ²⁹−ζ⁴⁷−ζ⁶¹+ζ¹⁰⁹−ζ¹²⁷+ζ¹⁴³−ζ²²¹+ζ²²³	−ζ¹³−ζ³¹+ζ⁷⁷+ζ⁷⁹+ζ¹⁵⁷−ζ¹⁷³−ζ¹⁹¹+ζ²³⁹	ζ¹³+ζ³¹−ζ⁷⁷−ζ⁷⁹−ζ¹⁵⁷+ζ¹⁷³+ζ¹⁹¹−ζ²³⁹	−ζ⁴¹−ζ⁴³+ζ⁸⁹+ζ¹⁰⁷−ζ¹²¹+ζ¹⁶⁹+ζ¹⁸⁷−ζ²⁰³	ζ⁴¹+ζ⁴³−ζ⁸⁹−ζ¹⁰⁷+ζ¹²¹−ζ¹⁶⁹−ζ¹⁸⁷+ζ²⁰³	ζ¹¹−ζ⁵⁹−ζ⁷³+ζ⁹¹+ζ¹³⁷−ζ¹³⁹+ζ²¹⁷−ζ²³³	−ζ¹¹+ζ⁵⁹+ζ⁷³−ζ⁹¹−ζ¹³⁷+ζ¹³⁹−ζ²¹⁷+ζ²³³	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₄₂	4	-4	4	0	-4	$2 i \sqrt{2}$	$- 2 i \sqrt{2}$	-1	1	0	$i \sqrt{5}$	$- i \sqrt{5}$	$2 i \sqrt{2}$	$- 2 i \sqrt{2}$	−ζ²⁶−ζ⁶²−ζ⁷⁴−ζ¹⁰⁶−ζ¹⁴²−ζ¹⁵⁴−ζ¹⁵⁸−ζ²³⁸	ζ²⁶+ζ⁶²+ζ⁷⁴+ζ¹⁰⁶+ζ¹⁴²+ζ¹⁵⁴+ζ¹⁵⁸+ζ²³⁸	−ζ¹⁴−ζ⁴⁶−ζ⁵⁸−ζ⁹⁴−ζ¹²²−ζ²⁰²−ζ²⁰⁶−ζ²¹⁸	ζ¹⁴+ζ⁴⁶+ζ⁵⁸+ζ⁹⁴+ζ¹²²+ζ²⁰²+ζ²⁰⁶+ζ²¹⁸	-1	1	$i \sqrt{5}$	$- i \sqrt{5}$	−ζ²⁶−ζ⁶²−ζ⁷⁴−ζ¹⁰⁶−ζ¹⁴²−ζ¹⁵⁴−ζ¹⁵⁸−ζ²³⁸	ζ²⁶+ζ⁶²+ζ⁷⁴+ζ¹⁰⁶+ζ¹⁴²+ζ¹⁵⁴+ζ¹⁵⁸+ζ²³⁸	−ζ¹⁴−ζ⁴⁶−ζ⁵⁸−ζ⁹⁴−ζ¹²²−ζ²⁰²−ζ²⁰⁶−ζ²¹⁸	ζ¹⁴+ζ⁴⁶+ζ⁵⁸+ζ⁹⁴+ζ¹²²+ζ²⁰²+ζ²⁰⁶+ζ²¹⁸	0	0	0	0	0	0	ζ²⁹−ζ⁴⁷−ζ⁶¹+ζ¹⁰⁹−ζ¹²⁷+ζ¹⁴³−ζ²²¹+ζ²²³	−ζ²⁹+ζ⁴⁷+ζ⁶¹−ζ¹⁰⁹+ζ¹²⁷−ζ¹⁴³+ζ²²¹−ζ²²³	ζ¹³+ζ³¹−ζ⁷⁷−ζ⁷⁹−ζ¹⁵⁷+ζ¹⁷³+ζ¹⁹¹−ζ²³⁹	−ζ¹³−ζ³¹+ζ⁷⁷+ζ⁷⁹+ζ¹⁵⁷−ζ¹⁷³−ζ¹⁹¹+ζ²³⁹	ζ⁴¹+ζ⁴³−ζ⁸⁹−ζ¹⁰⁷+ζ¹²¹−ζ¹⁶⁹−ζ¹⁸⁷+ζ²⁰³	−ζ⁴¹−ζ⁴³+ζ⁸⁹+ζ¹⁰⁷−ζ¹²¹+ζ¹⁶⁹+ζ¹⁸⁷−ζ²⁰³	−ζ¹¹+ζ⁵⁹+ζ⁷³−ζ⁹¹−ζ¹³⁷+ζ¹³⁹−ζ²¹⁷+ζ²³³	ζ¹¹−ζ⁵⁹−ζ⁷³+ζ⁹¹+ζ¹³⁷−ζ¹³⁹+ζ²¹⁷−ζ²³³	0	0	0	0	0	0	0	0	0	0	0	0	0	0
χ₄₃	4	-4	-2	0	2	$- 2 i \sqrt{2}$	$2 i \sqrt{2}$	4	-4	0	0	0	$i \sqrt{2}$	$- i \sqrt{2}$	$- 2 i \sqrt{2}$	$2 i \sqrt{2}$	$- 2 i \sqrt{2}$	$2 i \sqrt{2}$	-2	2	0	0	$i \sqrt{2}$	$- i \sqrt{2}$	$i \sqrt{2}$	$- i \sqrt{2}$	0	0	$2 \sqrt{3}$	$- 2 \sqrt{3}$	0	0	0	0	0	0	0	0	0	0	0	0	$- i \sqrt{6}$	$i \sqrt{6}$	0	0	0	0	0	0	0	0	0	0
χ₄₄	4	-4	-2	0	2	$- 2 i \sqrt{2}$	$2 i \sqrt{2}$	4	-4	0	0	0	$i \sqrt{2}$	$- i \sqrt{2}$	$- 2 i \sqrt{2}$	$2 i \sqrt{2}$	$- 2 i \sqrt{2}$	$2 i \sqrt{2}$	-2	2	0	0	$i \sqrt{2}$	$- i \sqrt{2}$	$i \sqrt{2}$	$- i \sqrt{2}$	0	0	$- 2 \sqrt{3}$	$2 \sqrt{3}$	0	0	0	0	0	0	0	0	0	0	0	0	$i \sqrt{6}$	$- i \sqrt{6}$	0	0	0	0	0	0	0	0	0	0
χ₄₅	4	-4	-2	0	2	$2 i \sqrt{2}$	$- 2 i \sqrt{2}$	4	-4	0	0	0	$- i \sqrt{2}$	$i \sqrt{2}$	$2 i \sqrt{2}$	$- 2 i \sqrt{2}$	$2 i \sqrt{2}$	$- 2 i \sqrt{2}$	-2	2	0	0	$- i \sqrt{2}$	$i \sqrt{2}$	$- i \sqrt{2}$	$i \sqrt{2}$	0	0	$2 \sqrt{3}$	$- 2 \sqrt{3}$	0	0	0	0	0	0	0	0	0	0	0	0	$i \sqrt{6}$	$- i \sqrt{6}$	0	0	0	0	0	0	0	0	0	0
χ₄₆	4	-4	-2	0	2	$2 i \sqrt{2}$	$- 2 i \sqrt{2}$	4	-4	0	0	0	$- i \sqrt{2}$	$i \sqrt{2}$	$2 i \sqrt{2}$	$- 2 i \sqrt{2}$	$2 i \sqrt{2}$	$- 2 i \sqrt{2}$	-2	2	0	0	$- i \sqrt{2}$	$i \sqrt{2}$	$- i \sqrt{2}$	$i \sqrt{2}$	0	0	$- 2 \sqrt{3}$	$2 \sqrt{3}$	0	0	0	0	0	0	0	0	0	0	0	0	$- i \sqrt{6}$	$i \sqrt{6}$	0	0	0	0	0	0	0	0	0	0
χ₄₇	8	8	-4	8	-4	8	8	-2	-2	-4	-2	-2	-4	-4	-2	-2	-2	-2	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	0	0	0	0	0	0	0	0	0	0
χ₄₈	8	8	-4	8	-4	-8	-8	-2	-2	-4	-2	-2	4	4	2	2	2	2	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	0	0	0	0	0	0	0	0	0	0
χ₄₉	8	8	-4	-8	-4	0	0	-2	-2	4	2	2	0	0	$- 2 i \sqrt{5}$	$- 2 i \sqrt{5}$	$2 i \sqrt{5}$	$2 i \sqrt{5}$	1	1	-1	-1	$i \sqrt{5}$	$i \sqrt{5}$	$- i \sqrt{5}$	$- i \sqrt{5}$	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	8	8	-4	-8	-4	0	0	-2	-2	4	2	2	0	0	$2 i \sqrt{5}$	$2 i \sqrt{5}$	$- 2 i \sqrt{5}$	$- 2 i \sqrt{5}$	1	1	-1	-1	$- i \sqrt{5}$	$- i \sqrt{5}$	$i \sqrt{5}$	$i \sqrt{5}$	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
χ₅₁	8	-8	-4	0	4	$- 4 i \sqrt{2}$	$4 i \sqrt{2}$	-2	2	0	$- 2 i \sqrt{5}$	$2 i \sqrt{5}$	$2 i \sqrt{2}$	$- 2 i \sqrt{2}$	2ζ¹⁴+2ζ⁴⁶+2ζ⁵⁸+2ζ⁹⁴+2ζ¹²²+2ζ²⁰²+2ζ²⁰⁶+2ζ²¹⁸	−2ζ¹⁴−2ζ⁴⁶−2ζ⁵⁸−2ζ⁹⁴−2ζ¹²²−2ζ²⁰²−2ζ²⁰⁶−2ζ²¹⁸	2ζ²⁶+2ζ⁶²+2ζ⁷⁴+2ζ¹⁰⁶+2ζ¹⁴²+2ζ¹⁵⁴+2ζ¹⁵⁸+2ζ²³⁸	−2ζ²⁶−2ζ⁶²−2ζ⁷⁴−2ζ¹⁰⁶−2ζ¹⁴²−2ζ¹⁵⁴−2ζ¹⁵⁸−2ζ²³⁸	1	-1	$i \sqrt{5}$	$- i \sqrt{5}$	−ζ¹⁴−ζ⁴⁶−ζ⁵⁸−ζ⁹⁴−ζ¹²²−ζ²⁰²−ζ²⁰⁶−ζ²¹⁸	ζ¹⁴+ζ⁴⁶+ζ⁵⁸+ζ⁹⁴+ζ¹²²+ζ²⁰²+ζ²⁰⁶+ζ²¹⁸	−ζ²⁶−ζ⁶²−ζ⁷⁴−ζ¹⁰⁶−ζ¹⁴²−ζ¹⁵⁴−ζ¹⁵⁸−ζ²³⁸	ζ²⁶+ζ⁶²+ζ⁷⁴+ζ¹⁰⁶+ζ¹⁴²+ζ¹⁵⁴+ζ¹⁵⁸+ζ²³⁸	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
χ₅₂	8	-8	-4	0	4	$- 4 i \sqrt{2}$	$4 i \sqrt{2}$	-2	2	0	$2 i \sqrt{5}$	$- 2 i \sqrt{5}$	$2 i \sqrt{2}$	$- 2 i \sqrt{2}$	2ζ²⁶+2ζ⁶²+2ζ⁷⁴+2ζ¹⁰⁶+2ζ¹⁴²+2ζ¹⁵⁴+2ζ¹⁵⁸+2ζ²³⁸	−2ζ²⁶−2ζ⁶²−2ζ⁷⁴−2ζ¹⁰⁶−2ζ¹⁴²−2ζ¹⁵⁴−2ζ¹⁵⁸−2ζ²³⁸	2ζ¹⁴+2ζ⁴⁶+2ζ⁵⁸+2ζ⁹⁴+2ζ¹²²+2ζ²⁰²+2ζ²⁰⁶+2ζ²¹⁸	−2ζ¹⁴−2ζ⁴⁶−2ζ⁵⁸−2ζ⁹⁴−2ζ¹²²−2ζ²⁰²−2ζ²⁰⁶−2ζ²¹⁸	1	-1	$- i \sqrt{5}$	$i \sqrt{5}$	−ζ²⁶−ζ⁶²−ζ⁷⁴−ζ¹⁰⁶−ζ¹⁴²−ζ¹⁵⁴−ζ¹⁵⁸−ζ²³⁸	ζ²⁶+ζ⁶²+ζ⁷⁴+ζ¹⁰⁶+ζ¹⁴²+ζ¹⁵⁴+ζ¹⁵⁸+ζ²³⁸	−ζ¹⁴−ζ⁴⁶−ζ⁵⁸−ζ⁹⁴−ζ¹²²−ζ²⁰²−ζ²⁰⁶−ζ²¹⁸	ζ¹⁴+ζ⁴⁶+ζ⁵⁸+ζ⁹⁴+ζ¹²²+ζ²⁰²+ζ²⁰⁶+ζ²¹⁸	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
χ₅₃	8	-8	-4	0	4	$4 i \sqrt{2}$	$- 4 i \sqrt{2}$	-2	2	0	$- 2 i \sqrt{5}$	$2 i \sqrt{5}$	$- 2 i \sqrt{2}$	$2 i \sqrt{2}$	−2ζ¹⁴−2ζ⁴⁶−2ζ⁵⁸−2ζ⁹⁴−2ζ¹²²−2ζ²⁰²−2ζ²⁰⁶−2ζ²¹⁸	2ζ¹⁴+2ζ⁴⁶+2ζ⁵⁸+2ζ⁹⁴+2ζ¹²²+2ζ²⁰²+2ζ²⁰⁶+2ζ²¹⁸	−2ζ²⁶−2ζ⁶²−2ζ⁷⁴−2ζ¹⁰⁶−2ζ¹⁴²−2ζ¹⁵⁴−2ζ¹⁵⁸−2ζ²³⁸	2ζ²⁶+2ζ⁶²+2ζ⁷⁴+2ζ¹⁰⁶+2ζ¹⁴²+2ζ¹⁵⁴+2ζ¹⁵⁸+2ζ²³⁸	1	-1	$i \sqrt{5}$	$- i \sqrt{5}$	ζ¹⁴+ζ⁴⁶+ζ⁵⁸+ζ⁹⁴+ζ¹²²+ζ²⁰²+ζ²⁰⁶+ζ²¹⁸	−ζ¹⁴−ζ⁴⁶−ζ⁵⁸−ζ⁹⁴−ζ¹²²−ζ²⁰²−ζ²⁰⁶−ζ²¹⁸	ζ²⁶+ζ⁶²+ζ⁷⁴+ζ¹⁰⁶+ζ¹⁴²+ζ¹⁵⁴+ζ¹⁵⁸+ζ²³⁸	−ζ²⁶−ζ⁶²−ζ⁷⁴−ζ¹⁰⁶−ζ¹⁴²−ζ¹⁵⁴−ζ¹⁵⁸−ζ²³⁸	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
χ₅₄	8	-8	-4	0	4	$4 i \sqrt{2}$	$- 4 i \sqrt{2}$	-2	2	0	$2 i \sqrt{5}$	$- 2 i \sqrt{5}$	$- 2 i \sqrt{2}$	$2 i \sqrt{2}$	−2ζ²⁶−2ζ⁶²−2ζ⁷⁴−2ζ¹⁰⁶−2ζ¹⁴²−2ζ¹⁵⁴−2ζ¹⁵⁸−2ζ²³⁸	2ζ²⁶+2ζ⁶²+2ζ⁷⁴+2ζ¹⁰⁶+2ζ¹⁴²+2ζ¹⁵⁴+2ζ¹⁵⁸+2ζ²³⁸	−2ζ¹⁴−2ζ⁴⁶−2ζ⁵⁸−2ζ⁹⁴−2ζ¹²²−2ζ²⁰²−2ζ²⁰⁶−2ζ²¹⁸	2ζ¹⁴+2ζ⁴⁶+2ζ⁵⁸+2ζ⁹⁴+2ζ¹²²+2ζ²⁰²+2ζ²⁰⁶+2ζ²¹⁸	1	-1	$- i \sqrt{5}$	$i \sqrt{5}$	ζ²⁶+ζ⁶²+ζ⁷⁴+ζ¹⁰⁶+ζ¹⁴²+ζ¹⁵⁴+ζ¹⁵⁸+ζ²³⁸	−ζ²⁶−ζ⁶²−ζ⁷⁴−ζ¹⁰⁶−ζ¹⁴²−ζ¹⁵⁴−ζ¹⁵⁸−ζ²³⁸	ζ¹⁴+ζ⁴⁶+ζ⁵⁸+ζ⁹⁴+ζ¹²²+ζ²⁰²+ζ²⁰⁶+ζ²¹⁸	−ζ¹⁴−ζ⁴⁶−ζ⁵⁸−ζ⁹⁴−ζ¹²²−ζ²⁰²−ζ²⁰⁶−ζ²¹⁸	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

Here ζ is a primitive root of unity of order 240 (ζ²⁴⁰ = 1); i = ζ⁶⁰.

Character table — Group #11746475