Finite Group Databasebeta

← Group #11794973

Character table — Group #11794973

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96
size1111222222222222222222444444444444444444888888888888888888888812121212121212121212121224242424242424242424242424242424242472727272
order124422233444666612121212121236666666612121212121212121244661212121212121212121212121212121212128888242424242424242424446688121212121212242424248888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-111111111-1-1-1-1
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
χ51111111111111111111111111111111111111111-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-111-1-1-1-1-1-11111-1-1-1-1-1-111
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
χ81111111111111111111111111111111111111111-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-1-11111-1-111
χ922222222-12222-1-1-122-1-1-1-1-12-1-12-1-1-1222-1-1-1-1-12-122-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-12200-1-100-1-1000000000000
χ1022222222-12222-1-1-122-1-1-1-1-12-1-12-1-1-1222-1-1-1-1-12-122-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-2-2-2-211111111-2-200110011000000000000
χ1122222222-12222-1-1-122-1-1-1-1-12-1-12-1-1-1222-1-1-1-1-12-1-2-2-1-11111-1-1-2-2-2-2111111112222-1-1-1-1-1-1-1-1-2-200110011000000000000
χ1222222222-12222-1-1-122-1-1-1-1-12-1-12-1-1-1222-1-1-1-1-12-1-2-2-1-11111-1-1-2-2-2-211111111-2-2-2-2111111112200-1-100-1-1000000000000
χ132222222-12222-1222-1-12222-1-122-1-1-1-1-1-1-12-1-1-1-1-1222-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000022002200-1-1-1-1-1-1-1-10000
χ142222222-12222-1222-1-12222-1-122-1-1-1-1-1-1-12-1-1-1-1-1222-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000000-2-200-2-200111111110000
χ152222222-12222-1222-1-12222-1-122-1-1-1-1-1-1-12-1-1-1-1-12-2-2-1-1-2-2-2-2-1-1111111111111000000000000002200-2-200-1-1-1-111110000
χ162222222-12222-1222-1-12222-1-122-1-1-1-1-1-1-12-1-1-1-1-12-2-2-1-1-2-2-2-2-1-111111111111100000000000000-2-20022001111-1-1-1-10000
χ1722222-2-222-22-22-2-222222-2-2222-2-22-2-2-2-2-2222-2-22-22i−2i2-22i2i−2i−2i2-22i2i−2i−2i2i2i2i2i−2i−2i−2i−2i0000000000000000000000000000000000
χ1822222-2-222-22-22-2-222222-2-2222-2-22-2-2-2-2-2222-2-22-2−2i2i2-2−2i−2i2i2i2-2−2i−2i2i2i−2i−2i−2i−2i2i2i2i2i0000000000000000000000000000000000
χ1922222-2-22-1-22-2211-122-1-111-12-11-2-111-2-2-2-1-1-111212i−2i-11−i−iii-112i2i−2i−2i−i−i−i−iiiii00003333−3−3−3−30000−i3i300−i3i3000000000000
χ2022222-2-22-1-22-2211-122-1-111-12-11-2-111-2-2-2-1-1-111212i−2i-11−i−iii-112i2i−2i−2i−i−i−i−iiiii0000−3−3−3−333330000i3−i300i3−i3000000000000
χ2122222-2-22-1-22-2211-122-1-111-12-11-2-111-2-2-2-1-1-11121−2i2i-11ii−i−i-11−2i−2i2i2iiiii−i−i−i−i00003333−3−3−3−30000i3−i300i3−i3000000000000
χ2222222-2-22-1-22-2211-122-1-111-12-11-2-111-2-2-2-1-1-11121−2i2i-11ii−i−i-11−2i−2i2i2iiiii−i−i−i−i0000−3−3−3−333330000−i3i300−i3i3000000000000
χ2322222-2-2-12-22-2-1-2-22-1-122-2-2-1-12-21-1111112-1-111-1-22i−2i-112i2i−2i−2i-11−i−iii−i−i−i−iiiii000000000000000000000033−3−3−i3−i3i3i30000
χ2422222-2-2-12-22-2-1-2-22-1-122-2-2-1-12-21-1111112-1-111-1-22i−2i-112i2i−2i−2i-11−i−iii−i−i−i−iiiii0000000000000000000000−3−333i3i3−i3−i30000
χ2522222-2-2-12-22-2-1-2-22-1-122-2-2-1-12-21-1111112-1-111-1-2−2i2i-11−2i−2i2i2i-11ii−i−iiiii−i−i−i−i000000000000000000000033−3−3i3i3−i3−i30000
χ2622222-2-2-12-22-2-1-2-22-1-122-2-2-1-12-21-1111112-1-111-1-2−2i2i-11−2i−2i2i2i-11ii−i−iiiii−i−i−i−i0000000000000000000000−3−333−i3−i3i3i30000
χ272222-22-2222-2-222222222222-2-2-22222-22-2-22222-2-200-2-20000-2-20000000000000000000000000000002i−2i0000002i−2i2i−2i0000
χ282222-22-2222-2-222222222222-2-2-22222-22-2-22222-2-200-2-20000-2-2000000000000000000000000000000−2i2i000000−2i2i−2i2i0000
χ292222-22-2-122-2-2-1222-1-12222-11-2-2-1-1-1-11-11-2-1-1-1-11-20011000011−i3i3−i3i3−i3−i3i3i3−i3−i3i3i30000000000000000002i−2i003−33−3−ii−ii0000
χ302222-22-2-122-2-2-1222-1-12222-11-2-2-1-1-1-11-11-2-1-1-1-11-20011000011−i3i3−i3i3−i3−i3i3i3−i3−i3i3i3000000000000000000−2i2i00−33−33i−ii−i0000
χ312222-22-2-122-2-2-1222-1-12222-11-2-2-1-1-1-11-11-2-1-1-1-11-20011000011i3−i3i3−i3i3i3−i3−i3i3i3−i3−i30000000000000000002i−2i00−33−33−ii−ii0000
χ322222-22-2-122-2-2-1222-1-12222-11-2-2-1-1-1-11-11-2-1-1-1-11-20011000011i3−i3i3−i3i3i3−i3−i3i3i3−i3−i3000000000000000000−2i2i003−33−3i−ii−i0000
χ332222-2-2222-2-222-2-222222-2-22-2-22-22-2-22-22-222-2-2-2200-220000-22000000000000000000000000002-20000002-2-2200000000
χ342222-2-2222-2-222-2-222222-2-22-2-22-22-2-22-22-222-2-2-2200-220000-2200000000000000000000000000-22000000-222-200000000
χ352222-2-22-12-2-22-1-2-22-1-122-2-2-11-221-111-11-1-2-1-11112001-100001-13−3−3333−3−3−3−333000000000000002-2000000-111-1−333−30000
χ362222-2-22-12-2-22-1-2-22-1-122-2-2-11-221-111-11-1-2-1-11112001-100001-13−3−3333−3−3−3−33300000000000000-220000001-1-113−3−330000
χ372222-2-22-12-2-22-1-2-22-1-122-2-2-11-221-111-11-1-2-1-11112001-100001-1−333−3−3−33333−3−3000000000000002-2000000-111-13−3−330000
χ382222-2-22-12-2-22-1-2-22-1-122-2-2-11-221-111-11-1-2-1-11112001-100001-1−333−3−3−33333−3−300000000000000-220000001-1-11−333−30000
χ3922-2-222222-2-2-22222-2-2-2-2-2-2222222222-2-2-2-2-2-2-2-2-200220000-2-2000000000000000000000000000000000000000000002i−2i
χ4022-2-222222-2-2-22222-2-2-2-2-2-2222222222-2-2-2-2-2-2-2-2-200220000-2-200000000000000000000000000000000000000000000−2i2i
χ4122-2-22-2-2222-222-2-22-2-2-2-222222-2-22-2-2-222-2-2-222-22002-20000-220000000000000000000000000000000000000000002i−2i00
χ4222-2-22-2-2222-222-2-22-2-2-2-222222-2-22-2-2-222-2-2-222-22002-20000-22000000000000000000000000000000000000000000−2i2i00
χ4322-2-2-22-222-2222222-2-2-2-2-2-22-2-2-22222-2-222-2-2-2-22200-2-20000220000000000000000000000002-2002200-2-2000000000000
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χ4522-2-2-22-22-1-2222-1-1-1-2-21111-1-2112-1-1-1-2-22-111112-10011−i3i3−i3i3-1-10000−i3i3−i3i3−i3i3−i3i30000−i3−i3i3i3−i3−i3i3i32-200-1-10011000000000000
χ4622-2-2-22-22-1-2222-1-1-1-2-21111-1-2112-1-1-1-2-22-111112-10011−i3i3−i3i3-1-10000−i3i3−i3i3−i3i3−i3i30000i3i3−i3−i3i3i3−i3−i3-22001100-1-1000000000000
χ4722-2-2-22-22-1-2222-1-1-1-2-21111-1-2112-1-1-1-2-22-111112-10011i3−i3i3−i3-1-10000i3−i3i3−i3i3−i3i3−i30000−i3−i3i3i3−i3−i3i3i3-22001100-1-1000000000000
χ4822-2-2-22-22-1-2222-1-1-1-2-21111-1-2112-1-1-1-2-22-111112-10011i3−i3i3−i3-1-10000i3−i3i3−i3i3−i3i3−i30000i3i3−i3−i3i3i3−i3−i32-200-1-10011000000000000
χ4922-2-2-2-222222-22-2-22-2-2-2-2222-2-22-22-2-222-22-2-2222-200-2200002-20000000000002i2i−2i−2i2i2i−2i−2i−2i−2i2i2i0000000000000000000000
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χ5122-2-2-2-222-122-2211-1-2-211-1-1-1-21-1-2-11122-2-111-1-121001-13−3−33-1100003−33−3−33−332i2i−2i−2i−i−iiiii−i−i0000−i3i300i3−i3000000000000
χ5222-2-2-2-222-122-2211-1-2-211-1-1-1-21-1-2-11122-2-111-1-121001-13−3−33-1100003−33−3−33−33−2i−2i2i2iii−i−i−i−iii0000i3−i300−i3i3000000000000
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χ5422-2-2-2-222-122-2211-1-2-211-1-1-1-21-1-2-11122-2-111-1-121001-1−333−3-110000−33−333−33−3−2i−2i2i2iii−i−i−i−iii0000−i3i300i3−i3000000000000
χ554444444-2-2444-2-2-2-2-2-2-2-2-2-21-2-2-2-2111-2-2-2-21111-2-24411-2-2-2-211-2-2-2-2111111110000000000000000000000000000000000
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χ5844444-4-4-2-2-44-4-222-2-2-2-2-2221-2-2221-1-1222-211-1-1-22−4i4i1-12i2i−2i−2i1-12i2i−2i−2i−i−i−i−iiiii0000000000000000000000000000000000
χ594444-44-44-24-4-44-2-2-244-2-2-2-2-2-4224-2-2-2-44-42-2-2-2-2-4200220000220000000000000000000000000000000000000000000000
χ604444-44-4-2-24-4-4-2-2-2-2-2-2-2-2-2-21222-21112-22211112200-1-10000-1-1−2i32i3−2i32i3i3i3−i3−i3i3i3−i3−i30000000000000000000000000000000000
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χ7844-4-4-4-44-2-244-4-222-22222-2-2122-221-1-1-2-22-2-1-111-2200-11−232323−231-100003−33−3−33−330000000000000000000000000000000000
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χ864-4−4i4i00044000-400-4−4i4i−4i4i0040000-4000000−4i4i000000000000000000000000002ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ23−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ130000000000000000000000
χ874-4−4i4i0004-2000-4−2i32i32−4i4i2i−2i−2323-200002−2i32i300002i−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
χ884-4−4i4i0004-2000-4−2i32i32−4i4i2i−2i−2323-200002−2i32i300002i−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
χ894-4−4i4i0004-2000-42i3−2i32−4i4i2i−2i23−23-2000022i3−2i300002i−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
χ904-4−4i4i0004-2000-42i3−2i32−4i4i2i−2i23−23-2000022i3−2i300002i−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−8i000-48000400-8−4i4i8i−8i00-400004000000−4i4i000000000000000000000000000000000000000000000000000000000000
χ928-88i−8i000-4-40004−4i34i34−4i4i−4i4i43−4320000-22i3−2i300002i−2i−23230000000000000000000000000000000000000000000000000000000000
χ938-88i−8i000-4-400044i3−4i34−4i4i−4i4i−434320000-2−2i32i300002i−2i23−230000000000000000000000000000000000000000000000000000000000
χ948-8−8i8i000-48000400-84i−4i−8i8i00-4000040000004i−4i000000000000000000000000000000000000000000000000000000000000
χ958-8−8i8i000-4-40004−4i34i344i−4i4i−4i−434320000-22i3−2i30000−2i2i23−230000000000000000000000000000000000000000000000000000000000
χ968-8−8i8i000-4-400044i3−4i344i−4i4i−4i43−4320000-2−2i32i30000−2i2i−23230000000000000000000000000000000000000000000000000000000000

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