Finite Group Databasebeta

← Group #11794974

Character table — Group #11794974

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96
size1111222222222222222222444444444444444444888888888888888888888812121212121212121212121224242424242424242424242424242424242472727272
order124422233444666612121212121236666666612121212121212121244661212121212121212121212121212121212128888242424242424242424668888121224242424242424244488
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111111111-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ51111111111111111111111111111111111111111-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-111-1-1-1-11111-1-1-1-1-1-111
χ61111111111111111111111111111111111111111-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-111-1-1-1-1-1-1111111-1-1
χ71111111111111111111111111111111111111111-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1111111-1-1-1-111-1-1
χ81111111111111111111111111111111111111111-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-11111-1-111
χ922222222-12222-1-1-1-1-1-1-122-122-1-12-1-1-122-1-1-1-1-12-122-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-122-1-10000-1-1000000000000
χ1022222222-12222-1-1-1-1-1-1-122-122-1-12-1-1-122-1-1-1-1-12-122-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-2-2-2-211111111-2-211000011000000000000
χ1122222222-12222-1-1-1-1-1-1-122-122-1-12-1-1-122-1-1-1-1-12-1-2-2-1-11111-1-1-2-2-2-2111111112222-1-1-1-1-1-1-1-1-2-211000011000000000000
χ1222222222-12222-1-1-1-1-1-1-122-122-1-12-1-1-122-1-1-1-1-12-1-2-2-1-11111-1-1-2-2-2-211111111-2-2-2-21111111122-1-10000-1-1000000000000
χ132222222-12222-12222222-1-1-1-1-122-1-1-1-1-1-12-1-1-1-1-1222-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000222200-1-1-1-1-1-1-1-10000
χ142222222-12222-12222222-1-1-1-1-122-1-1-1-1-1-12-1-1-1-1-1222-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000-2-2-2-200111111110000
χ152222222-12222-12222222-1-1-1-1-122-1-1-1-1-1-12-1-1-1-1-12-2-2-1-1-2-2-2-2-1-1111111111111000000000000000022-2-200-1-1-1-111110000
χ162222222-12222-12222222-1-1-1-1-122-1-1-1-1-1-12-1-1-1-1-12-2-2-1-1-2-2-2-2-1-11111111111110000000000000000-2-222001111-1-1-1-10000
χ1722222-2-222-2-222-2-2222-2-22222-22-2-22-2-22-2222-2-2-2-22i−2i2-22i2i−2i−2i2-22i2i−2i−2i2i2i2i2i−2i−2i−2i−2i0000000000000000000000000000000000
χ1822222-2-222-2-222-2-2222-2-22222-22-2-22-2-22-2222-2-2-2-2−2i2i2-2−2i−2i2i2i2-2−2i−2i2i2i−2i−2i−2i−2i2i2i2i2i0000000000000000000000000000000000
χ1922222-2-22-1-2-22211-1-1-11122-12-2-11-2-1112-2-1-1-111-212i−2i-11−i−iii-112i2i−2i−2i−i−i−i−iiiii00003333−3−3−3−300−i3i30000−i3i3000000000000
χ2022222-2-22-1-2-22211-1-1-11122-12-2-11-2-1112-2-1-1-111-212i−2i-11−i−iii-112i2i−2i−2i−i−i−i−iiiii0000−3−3−3−3333300i3−i30000i3−i3000000000000
χ2122222-2-22-1-2-22211-1-1-11122-12-2-11-2-1112-2-1-1-111-21−2i2i-11ii−i−i-11−2i−2i2i2iiiii−i−i−i−i00003333−3−3−3−300i3−i30000i3−i3000000000000
χ2222222-2-22-1-2-22211-1-1-11122-12-2-11-2-1112-2-1-1-111-21−2i2i-11ii−i−i-11−2i−2i2i2iiiii−i−i−i−i0000−3−3−3−3333300−i3i30000−i3i3000000000000
χ2322222-2-2-12-2-22-1-2-2222-2-2-1-1-1-112-21-111-112-1-1111-22i−2i-112i2i−2i−2i-11−i−iii−i−i−i−iiiii0000000000000000000000−i3−i3i3i333−3−30000
χ2422222-2-2-12-2-22-1-2-2222-2-2-1-1-1-112-21-111-112-1-1111-22i−2i-112i2i−2i−2i-11−i−iii−i−i−i−iiiii0000000000000000000000i3i3−i3−i3−3−3330000
χ2522222-2-2-12-2-22-1-2-2222-2-2-1-1-1-112-21-111-112-1-1111-2−2i2i-11−2i−2i2i2i-11ii−i−iiiii−i−i−i−i0000000000000000000000−i3−i3i3i3−3−3330000
χ2622222-2-2-12-2-22-1-2-2222-2-2-1-1-1-112-21-111-112-1-1111-2−2i2i-11−2i−2i2i2i-11ii−i−iiiii−i−i−i−i0000000000000000000000i3i3−i3−i333−3−30000
χ272222-22-2222-2-222222222222-2-2-2-22222-22-22222-2-200-2-20000-2-2000000000000000000000000000000000000000000002i−2i
χ282222-22-2222-2-222222222222-2-2-2-22222-22-22222-2-200-2-20000-2-200000000000000000000000000000000000000000000−2i2i
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χ3122-2-222222-2-2-22222-2-2-2-2-2-2222222222-2-2-2-2-2-2-2-2-200220000-2-20000000000000000000000000000002i−2i0000002i−2i2i−2i0000
χ3222-2-222222-2-2-22222-2-2-2-2-2-2222222222-2-2-2-2-2-2-2-2-200220000-2-2000000000000000000000000000000−2i2i000000−2i2i−2i2i0000
χ3322-2-2222-12-2-2-2-1222-2-2-2-211-1-1-122-1-1-1-111-211111-200-1-1000011−i3i3−i3i3−i3−i3i3i3−i3−i3i3i30000000000000000002i−2i003−33−3−ii−ii0000
χ3422-2-2222-12-2-2-2-1222-2-2-2-211-1-1-122-1-1-1-111-211111-200-1-1000011−i3i3−i3i3−i3−i3i3i3−i3−i3i3i3000000000000000000−2i2i00−33−33i−ii−i0000
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χ3622-2-2222-12-2-2-2-1222-2-2-2-211-1-1-122-1-1-1-111-211111-200-1-1000011i3−i3i3−i3i3i3−i3−i3i3i3−i3−i3000000000000000000−2i2i003−33−3i−ii−i0000
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χ4022-2-22-2-2-1222-2-1-2-22-2-22211-1-112-21-1111-1-211-1-1-1200-1100001-13−3−3333−3−3−3−3330000000000000000−2i2i0000i−i−ii−i3i3i3−i30000
χ4122-2-22-2-2-1222-2-1-2-22-2-22211-1-112-21-1111-1-211-1-1-1200-1100001-1−333−3−3−33333−3−300000000000000002i−2i0000−iii−i−i3i3i3−i30000
χ4222-2-22-2-2-1222-2-1-2-22-2-22211-1-112-21-1111-1-211-1-1-1200-1100001-1−333−3−3−33333−3−30000000000000000−2i2i0000i−i−iii3−i3−i3i30000
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χ4622-2-2-22-22-1-2222-1-1-11111-2-2-1-2-2112-1-1-12-2-111112-10011−i3i3−i3i3-1-10000−i3i3−i3i3−i3i3−i3i30000i3i3−i3−i3i3i3−i3−i3-22110000-1-1000000000000
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χ554444444-2-2444-2-2-2-2-2-2-2-2-2-21-2-2-2-2-2111-2-2-21111-2-24411-2-2-2-211-2-2-2-2111111110000000000000000000000000000000000
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χ864-4−4i4i00044000-400-4−4i4i00−4i4i400000-400000−4i4i000000000000000000000000002ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ23−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ130000000000000000000000
χ874-4−4i4i0004-2000-4−2i32i322i−2i−2323−4i4i-2000002−2i32i30002i−2i−2323000000000000000000000000−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ23ζ5+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−ζ230000000000000000000000
χ884-4−4i4i0004-2000-4−2i32i322i−2i−2323−4i4i-2000002−2i32i30002i−2i−23230000000000000000000000002ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ23−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+ζ230000000000000000000000
χ894-4−4i4i0004-2000-42i3−2i322i−2i23−23−4i4i-20000022i3−2i30002i−2i23−23000000000000000000000000−2ζ5−2ζ132ζ5+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+ζ230000000000000000000000
χ904-4−4i4i0004-2000-42i3−2i322i−2i23−23−4i4i-20000022i3−2i30002i−2i23−230000000000000000000000002ζ5+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−ζ230000000000000000000000
χ918-88i−8i000-48000400-88i−8i00−4i4i-400000400000−4i4i000000000000000000000000000000000000000000000000000000000000
χ928-88i−8i000-4-40004−4i34i34−4i4i43−43−4i4i200000-22i3−2i30002i−2i−23230000000000000000000000000000000000000000000000000000000000
χ938-88i−8i000-4-400044i3−4i34−4i4i−4343−4i4i200000-2−2i32i30002i−2i23−230000000000000000000000000000000000000000000000000000000000
χ948-8−8i8i000-48000400-8−8i8i004i−4i-4000004000004i−4i000000000000000000000000000000000000000000000000000000000000
χ958-8−8i8i000-4-40004−4i34i344i−4i−43434i−4i200000-22i3−2i3000−2i2i23−230000000000000000000000000000000000000000000000000000000000
χ968-8−8i8i000-4-400044i3−4i344i−4i43−434i−4i200000-2−2i32i3000−2i2i−23230000000000000000000000000000000000000000000000000000000000

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