Finite Group Databasebeta

← Group #11786651

Character table — Group #11786651

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102
size11112222222222222222224444444444444444444444888888888888888888881212121212121212121212122424242424242424242424242424242424243636363636363636
order12442223344466661212121212123666666668888121212121212121212661212242424242424242424242424242424248888242424242424242488888824242424242424242424242422448888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1
χ41111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ51111111111111111111111111111111-1-1-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1
χ61111111111111111111111111111111-1-1-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-11111
χ71111111111111111111111111111111-1-1-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111111111-1-1-1-1-1-1-1-11111
χ81111111111111111111111111111111-1-1-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1
χ911-1-11-1-11111-1-1-111-1-111-1-1111-1-1-1-1-11ii−i−i11-111-1-11-11-11-1ii−i−iii−i−iiiii−i−i−i−iii−i−iiiii−i−i−i−ii−i1-11-111-1-1ii−i−i11-1-111-1-1ii−i−i
χ1011-1-11-1-11111-1-1-111-1-111-1-1111-1-1-1-1-11ii−i−i11-111-1-11-11-11-1ii−i−iii−i−iiiii−i−i−i−iii−i−iiiii−i−i−i−i−ii1-1-1111-1-1−i−iii-1-111-1-111−i−iii
χ1111-1-11-1-11111-1-1-111-1-111-1-1111-1-1-1-1-11ii−i−i11-111-1-11-11-11-1ii−i−iii−i−iiiii−i−i−i−i−i−iii−i−i−i−iiiiii−i-111-1-1-111ii−i−i11-1-1-1-111−i−iii
χ1211-1-11-1-11111-1-1-111-1-111-1-1111-1-1-1-1-11ii−i−i11-111-1-11-11-11-1ii−i−iii−i−iiiii−i−i−i−i−i−iii−i−i−i−iiiii−ii-11-11-1-111−i−iii-1-11111-1-1ii−i−i
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χ1411-1-11-1-11111-1-1-111-1-111-1-1111-1-1-1-1-11−i−iii11-111-1-11-11-11-1−i−iii−i−iii−i−i−i−iiiiiii−i−iiiii−i−i−i−i−ii-111-1-1-111−i−iii11-1-1-1-111ii−i−i
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χ1722222222-1222222-12222-1-1-12-12-1-1-1-1-122222-1-1-1-1-1-1-12-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-10000000000002200220000-1-1-1-1-1-1-1-100000000
χ1822222222-1222222-12222-1-1-12-12-1-1-1-1-122222-1-1-1-1-1-1-12-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1000000000000-2-200-2-200001111111100000000
χ1922222222-1222222-12222-1-1-12-12-1-1-1-1-1-2-2-2-22-1-1-1-1-1-1-12-1-1-1-1-2-2-2-21111111111110000000000002200-2-20000-1-1-1-1111100000000
χ2022222222-1222222-12222-1-1-12-12-1-1-1-1-1-2-2-2-22-1-1-1-1-1-1-12-1-1-1-1-2-2-2-2111111111111000000000000-2-2002200001111-1-1-1-100000000
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χ222222222-12222-1-1-12-1-1-1-122-1-12-122-1-1-12222-122-1-1-1-12-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-2-2-2-21111111100-2-20011110000000000000000
χ232222222-12222-1-1-12-1-1-1-122-1-12-122-1-1-1-2-2-2-2-122-1-1-1-12-1-1-1-1-11111-2-2-2-2111111112222-1-1-1-1-1-1-1-100-2-20011110000000000000000
χ242222222-12222-1-1-12-1-1-1-122-1-12-122-1-1-1-2-2-2-2-122-1-1-1-12-1-1-1-1-11111-2-2-2-211111111-2-2-2-211111111002200-1-1-1-10000000000000000
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χ282222-22-2222-2-222222222222-2-2-22-22220000-22-22222-2-2-2-2-2-200000000000000000000000000000000000000000000000000-22-22
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χ322222-2-222-1-22-2-2-22-122-2-2-1-1-1-2121-111-12-22-221111-1-1-1-21-1-112-22-2-11-11-1-111-1-1110000000000000000000000i3−i3i3−i3i3−i3i3−i300000000
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χ362222-2-22-12-22-211-12-1-11122-11-2-1-2211-12-22-2-1-2-211-1-1211-1-11-11-112-22-2-1-111-1-1110000−3−333−3−333000000−33−330000000000000000
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χ382222-2-22-12-22-211-12-1-11122-11-2-1-2211-1-22-22-1-2-211-1-1211-1-111-11-1-22-2211-1-111-1-10000−3−333−3−3330000003−33−30000000000000000
χ3922-2-222222-2-2-22222-2-2-2-2-2-22222222220000-2-2-2-2-2-2-2-2-222-2-200000000000000000000000000000000000000000000002-2-220000
χ4022-2-222222-2-2-22222-2-2-2-2-2-22222222220000-2-2-2-2-2-2-2-2-222-2-20000000000000000000000000000000000000000000000-222-20000
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χ4922-2-2-22-222-2222222-2-2-2-2-2-22-2-2-22-22222i−2i−2i2i2-22-2-2-2-222-2-2222i−2i−2i2i2i−2i−2i2i2i2i−2i−2i−2i−2i2i2i00000000000000000000000000000000000000
χ5022-2-2-22-222-2222222-2-2-2-2-2-22-2-2-22-2222−2i2i2i−2i2-22-2-2-2-222-2-222−2i2i2i−2i−2i2i2i−2i−2i−2i2i2i2i2i−2i−2i00000000000000000000000000000000000000
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χ5422-2-2-22-22-1-222222-1-2-2-2-211-1-21-2-11-1-1-1−2i2i2i−2i21-11111-1211-1-1−2i2i2i−2ii−i−iiii−i−i−i−iii0000000000000000000000−333−3−i3i3i3−i300000000
χ5522-2-2-22-2-12-222-1-1-121111-2-2-11-212-2-1-1-12i−2i−2i2i-1-2211112-111-1-1−iii−i2i−2i−2i2i−i−iiiii−i−i0000−i3−i3i3i3i3i3−i3−i3000000−333−30000000000000000
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χ864-44i−4i0004400000-4-44i−4i004i−4i40000000-40000000004i−4i0000000000000000000000−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ23−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ132ζ5+2ζ13−2ζ5−2ζ1300000000000000000000000000
χ874-44i−4i000-24000−2i32i32-4−2i2i23−234i−4i-200000−2i32i32000000023−23−2i2i00000000000000000000002ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ13ζ5−ζ7−ζ13−ζ23−ζ5+ζ7+ζ13+ζ23−ζ5−ζ7+ζ13−ζ23ζ5+ζ7−ζ13+ζ23ζ5−ζ7+ζ13+ζ23−ζ5+ζ7−ζ13−ζ23ζ5+ζ7+ζ13−ζ23−ζ5−ζ7−ζ13+ζ2300000000000000000000000000
χ884-44i−4i000-24000−2i32i32-4−2i2i23−234i−4i-200000−2i32i32000000023−23−2i2i0000000000000000000000−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ13−ζ5+ζ7+ζ13+ζ23ζ5−ζ7−ζ13−ζ23ζ5+ζ7−ζ13+ζ23−ζ5−ζ7+ζ13−ζ23−ζ5+ζ7−ζ13−ζ23ζ5−ζ7+ζ13+ζ23−ζ5−ζ7−ζ13+ζ23ζ5+ζ7+ζ13−ζ2300000000000000000000000000
χ894-44i−4i000-240002i3−2i32-4−2i2i−23234i−4i-2000002i3−2i320000000−2323−2i2i00000000000000000000002ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ13−ζ5−ζ7+ζ13−ζ23ζ5+ζ7−ζ13+ζ23ζ5−ζ7−ζ13−ζ23−ζ5+ζ7+ζ13+ζ23ζ5+ζ7+ζ13−ζ23−ζ5−ζ7−ζ13+ζ23ζ5−ζ7+ζ13+ζ23−ζ5+ζ7−ζ13−ζ2300000000000000000000000000
χ904-44i−4i000-240002i3−2i32-4−2i2i−23234i−4i-2000002i3−2i320000000−2323−2i2i0000000000000000000000−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ13ζ5+ζ7−ζ13+ζ23−ζ5−ζ7+ζ13−ζ23−ζ5+ζ7+ζ13+ζ23ζ5−ζ7−ζ13−ζ23−ζ5−ζ7−ζ13+ζ23ζ5+ζ7+ζ13−ζ23−ζ5+ζ7−ζ13−ζ23ζ5−ζ7+ζ13+ζ2300000000000000000000000000
χ914-4−4i4i0004400000-4-4−4i4i00−4i4i40000000-4000000000−4i4i0000000000000000000000−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ13−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ232ζ7+2ζ23−2ζ7−2ζ2300000000000000000000000000
χ924-4−4i4i0004400000-4-4−4i4i00−4i4i40000000-4000000000−4i4i00000000000000000000002ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ132ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ23−2ζ7−2ζ232ζ7+2ζ2300000000000000000000000000
χ934-4−4i4i000-24000−2i32i32-42i−2i−2323−4i4i-200000−2i32i320000000−23232i−2i0000000000000000000000−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ23ζ5+ζ7+ζ13−ζ23−ζ5−ζ7−ζ13+ζ23ζ5−ζ7+ζ13+ζ23−ζ5+ζ7−ζ13−ζ23−ζ5−ζ7+ζ13−ζ23ζ5+ζ7−ζ13+ζ23ζ5−ζ7−ζ13−ζ23−ζ5+ζ7+ζ13+ζ2300000000000000000000000000
χ944-4−4i4i000-24000−2i32i32-42i−2i−2323−4i4i-200000−2i32i320000000−23232i−2i00000000000000000000002ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ23−ζ5−ζ7−ζ13+ζ23ζ5+ζ7+ζ13−ζ23−ζ5+ζ7−ζ13−ζ23ζ5−ζ7+ζ13+ζ23ζ5+ζ7−ζ13+ζ23−ζ5−ζ7+ζ13−ζ23−ζ5+ζ7+ζ13+ζ23ζ5−ζ7−ζ13−ζ2300000000000000000000000000
χ954-4−4i4i000-240002i3−2i32-42i−2i23−23−4i4i-2000002i3−2i32000000023−232i−2i0000000000000000000000−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ23ζ5−ζ7+ζ13+ζ23−ζ5+ζ7−ζ13−ζ23ζ5+ζ7+ζ13−ζ23−ζ5−ζ7−ζ13+ζ23ζ5−ζ7−ζ13−ζ23−ζ5+ζ7+ζ13+ζ23−ζ5−ζ7+ζ13−ζ23ζ5+ζ7−ζ13+ζ2300000000000000000000000000
χ964-4−4i4i000-240002i3−2i32-42i−2i23−23−4i4i-2000002i3−2i32000000023−232i−2i00000000000000000000002ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ23−ζ5+ζ7−ζ13−ζ23ζ5−ζ7+ζ13+ζ23−ζ5−ζ7−ζ13+ζ23ζ5+ζ7+ζ13−ζ23−ζ5+ζ7+ζ13+ζ23ζ5−ζ7−ζ13−ζ23ζ5+ζ7−ζ13+ζ23−ζ5−ζ7+ζ13−ζ2300000000000000000000000000
χ978-88i−8i0008-400000-848i−8i00−4i4i-400000004000000000−4i4i000000000000000000000000000000000000000000000000000000000000
χ988-88i−8i000-4-4000−4i34i344−4i4i43−43−4i4i2000002i3−2i3-20000000−23232i−2i000000000000000000000000000000000000000000000000000000000000
χ998-88i−8i000-4-40004i3−4i344−4i4i−4343−4i4i200000−2i32i3-2000000023−232i−2i000000000000000000000000000000000000000000000000000000000000
χ1008-8−8i8i0008-400000-84−8i8i004i−4i-4000000040000000004i−4i000000000000000000000000000000000000000000000000000000000000
χ1018-8−8i8i000-4-4000−4i34i3444i−4i−43434i−4i2000002i3−2i3-2000000023−23−2i2i000000000000000000000000000000000000000000000000000000000000
χ1028-8−8i8i000-4-40004i3−4i3444i−4i43−434i−4i200000−2i32i3-20000000−2323−2i2i000000000000000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 24 (ζ24 = 1); i = ζ6.