Finite Group Databasebeta

← Group #11793994

Character table — Group #11793994

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96
size1111222222222222222222444444444444444444888888888888888888888812121212121212121212121224242424242424242424242424242424242472727272
order124422233444666612121212121236666666612121212121212121244661212121212121212121212121212121212128888242424242424242424446688121212121212242424242444
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
χ51111111111111111111111111111111111111111-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-111-1-1-1-1-1-11111-1-1-1-111-1-1
χ61111111111111111111111111111111111111111-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-111-1-1-1-1-1-11111-1-111
χ71111111111111111111111111111111111111111-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1111111-1-1-1-1-1-111
χ81111111111111111111111111111111111111111-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-1-1111111-1-1
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
χ1722222-2-2222-2-222222222222-2-2-22222-22-2-22222-2-200-2-20000-2-2000000000000000000000000002i−2i0000002i2i−2i−2i00000000
χ1822222-2-2222-2-222222222222-2-2-22222-22-2-22222-2-200-2-20000-2-200000000000000000000000000−2i2i000000−2i−2i2i2i00000000
χ1922222-2-2-122-2-2-1222-1-12222-11-2-2-1-1-1-11-11-2-1-1-1-11-20011000011−i3−i3i3i3−i3−i3−i3−i3i3i3i3i3000000000000002i−2i000000−i−iii33−3−30000
χ2022222-2-2-122-2-2-1222-1-12222-11-2-2-1-1-1-11-11-2-1-1-1-11-20011000011−i3−i3i3i3−i3−i3−i3−i3i3i3i3i300000000000000−2i2i000000ii−i−i−3−3330000
χ2122222-2-2-122-2-2-1222-1-12222-11-2-2-1-1-1-11-11-2-1-1-1-11-20011000011i3i3−i3−i3i3i3i3i3−i3−i3−i3−i3000000000000002i−2i000000−i−iii−3−3330000
χ2222222-2-2-122-2-2-1222-1-12222-11-2-2-1-1-1-11-11-2-1-1-1-11-20011000011i3i3−i3−i3i3i3i3i3−i3−i3−i3−i300000000000000−2i2i000000ii−i−i33−3−30000
χ232222-22-222-22-22-2-222222-2-22-22-2-22-2-22-22222-2-2-2-22i−2i2-22i2i−2i−2i2-22i−2i2i−2i2i2i−2i−2i2i2i−2i−2i0000000000000000000000000000000000
χ242222-22-222-22-22-2-222222-2-22-22-2-22-2-22-22222-2-2-2-2−2i2i2-2−2i−2i2i2i2-2−2i2i−2i2i−2i−2i2i2i−2i−2i2i2i0000000000000000000000000000000000
χ252222-22-22-1-22-2211-122-1-111-1-2-11-2-1112-22-1-1-111-212i−2i-11−i−iii-112i−2i2i−2i−i−iii−i−iii00003333−3−3−3−30000−i3i300−i3i3000000000000
χ262222-22-22-1-22-2211-122-1-111-1-2-11-2-1112-22-1-1-111-212i−2i-11−i−iii-112i−2i2i−2i−i−iii−i−iii0000−3−3−3−333330000i3−i300i3−i3000000000000
χ272222-22-22-1-22-2211-122-1-111-1-2-11-2-1112-22-1-1-111-21−2i2i-11ii−i−i-11−2i2i−2i2iii−i−iii−i−i00003333−3−3−3−30000i3−i300i3−i3000000000000
χ282222-22-22-1-22-2211-122-1-111-1-2-11-2-1112-22-1-1-111-21−2i2i-11ii−i−i-11−2i2i−2i2iii−i−iii−i−i0000−3−3−3−333330000−i3i300−i3i3000000000000
χ292222-22-2-12-22-2-1-2-22-1-122-2-2-112-21-111-11-12-1-1111-22i−2i-112i2i−2i−2i-11−ii−ii−i−iii−i−iii0000000000000000000000−i3i3−i3i33−33−30000
χ302222-22-2-12-22-2-1-2-22-1-122-2-2-112-21-111-11-12-1-1111-22i−2i-112i2i−2i−2i-11−ii−ii−i−iii−i−iii0000000000000000000000i3−i3i3−i3−33−330000
χ312222-22-2-12-22-2-1-2-22-1-122-2-2-112-21-111-11-12-1-1111-2−2i2i-11−2i−2i2i2i-11i−ii−iii−i−iii−i−i0000000000000000000000−i3i3−i3i3−33−330000
χ322222-22-2-12-22-2-1-2-22-1-122-2-2-112-21-111-11-12-1-1111-2−2i2i-11−2i−2i2i2i-11i−ii−iii−i−iii−i−i0000000000000000000000i3−i3i3−i33−33−30000
χ332222-2-2222-2-222-2-222222-2-222-22-22-2-2-2-2-2-222-2-22200-220000-220000000000000000000000000000002-20000002-2-220000
χ342222-2-2222-2-222-2-222222-2-222-22-22-2-2-2-2-2-222-2-22200-220000-22000000000000000000000000000000-22000000-222-20000
χ352222-2-22-12-2-22-1-2-22-1-122-2-2-1-1-221-111111-2-1-111-12001-100001-13−3−3333−3−3−3−3330000000000000000002-200−333−3-111-10000
χ362222-2-22-12-2-22-1-2-22-1-122-2-2-1-1-221-111111-2-1-111-12001-100001-13−3−3333−3−3−3−333000000000000000000-22003−3−331-1-110000
χ372222-2-22-12-2-22-1-2-22-1-122-2-2-1-1-221-111111-2-1-111-12001-100001-1−333−3−3−33333−3−30000000000000000002-2003−3−33-111-10000
χ382222-2-22-12-2-22-1-2-22-1-122-2-2-1-1-221-111111-2-1-111-12001-100001-1−333−3−3−33333−3−3000000000000000000-2200−333−31-1-110000
χ3922-2-222222-2-2-22222-2-2-2-2-2-2222222222-2-2-2-2-2-2-2-2-200220000-2-2000000000000000000000000000000000000000000002-2
χ4022-2-222222-2-2-22222-2-2-2-2-2-2222222222-2-2-2-2-2-2-2-2-200220000-2-200000000000000000000000000000000000000000000-22
χ4122-2-22-2-222-2222222-2-2-2-2-2-22-2-2-22222-2-222-2-2-2-22200-2-20000220000000000000000000000002-2002200-2-2000000000000
χ4222-2-22-2-222-2222222-2-2-2-2-2-22-2-2-22222-2-222-2-2-2-22200-2-2000022000000000000000000000000-2200-2-20022000000000000
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χ4522-2-22-2-22-1-2222-1-1-1-2-21111-1-2112-1-1-1-2-22-111112-10011i3−i3i3−i3-1-10000i3−i3i3−i3i3−i3i3−i30000−i3−i3i3i3−i3−i3i3i3-22001100-1-1000000000000
χ4622-2-22-2-22-1-2222-1-1-1-2-21111-1-2112-1-1-1-2-22-111112-10011i3−i3i3−i3-1-10000i3−i3i3−i3i3−i3i3−i30000i3i3−i3−i3i3i3−i3−i32-200-1-10011000000000000
χ4722-2-2-22-2222-222-2-22-2-2-2-2222-22-2-22-2-222-2-2-2-22222002-20000-220000000000000000000000000000000000000000002-200
χ4822-2-2-22-2222-222-2-22-2-2-2-2222-22-2-22-2-222-2-2-2-22222002-20000-22000000000000000000000000000000000000000000-2200
χ4922-2-2-2-222222-22-2-22-2-2-2-22222-22-22-2-2-2222-2-222-2-200-2200002-20000000000002i2i−2i−2i2i2i−2i−2i−2i−2i2i2i0000000000000000000000
χ5022-2-2-2-222222-22-2-22-2-2-2-22222-22-22-2-2-2222-2-222-2-200-2200002-2000000000000−2i−2i2i2i−2i−2i2i2i2i2i−2i−2i0000000000000000000000
χ5122-2-2-2-222-122-2211-1-2-211-1-1-121-1-2-111-222-111-1-1-21001-13−3−33-1100003−3−333−3−332i2i−2i−2i−i−iiiii−i−i0000−i3i300i3−i3000000000000
χ5222-2-2-2-222-122-2211-1-2-211-1-1-121-1-2-111-222-111-1-1-21001-13−3−33-1100003−3−333−3−33−2i−2i2i2iii−i−i−i−iii0000i3−i300−i3i3000000000000
χ5322-2-2-2-222-122-2211-1-2-211-1-1-121-1-2-111-222-111-1-1-21001-1−333−3-110000−333−3−333−32i2i−2i−2i−i−iiiii−i−i0000i3−i300−i3i3000000000000
χ5422-2-2-2-222-122-2211-1-2-211-1-1-121-1-2-111-222-111-1-1-21001-1−333−3-110000−333−3−333−3−2i−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
χ564444444-2-2444-2-2-2-2-2-2-2-2-2-21-2-2-2-2111-2-2-2-21111-2-2-4-4112222112222-1-1-1-1-1-1-1-10000000000000000000000000000000000
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χ5844444-4-4-2-24-4-4-2-2-2-2-2-2-2-2-2-21222-21112-22211112200-1-10000-1-1−2i3−2i32i32i3i3i3i3i3−i3−i3−i3−i30000000000000000000000000000000000
χ5944444-4-4-2-24-4-4-2-2-2-2-2-2-2-2-2-21222-21112-22211112200-1-10000-1-12i32i3−2i3−2i3−i3−i3−i3−i3i3i3i3i30000000000000000000000000000000000
χ604444-44-4-2-2-44-4-222-2-2-2-2-22212-2221-1-1-22-2-211-1-1224i−4i1-1−2i−2i2i2i1-1−2i2i−2i2iii−i−iii−i−i0000000000000000000000000000000000
χ614444-44-4-2-2-44-4-222-2-2-2-2-22212-2221-1-1-22-2-211-1-122−4i4i1-12i2i−2i−2i1-12i−2i2i−2i−i−iii−i−iii0000000000000000000000000000000000
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χ634444-4-44-2-2-4-44-222-2-2-2-2-2221-22-221-1-1222211-1-1-2-200-110000-1123−23−2323−3−33333−3−30000000000000000000000000000000000
χ644444-4-44-2-2-4-44-222-2-2-2-2-2221-22-221-1-1222211-1-1-2-200-110000-11−232323−2333−3−3−3−3330000000000000000000000000000000000
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χ7144-4-44-4-4-2-2-444-2-2-2-22222221222-211122-2-2-1-1-1-1-2-200-1-12i3−2i32i3−2i3110000−i3i3−i3i3−i3i3−i3i30000000000000000000000000000000000
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χ7444-4-4-44-4-2-24-44-222-22222-2-212-2221-1-1-2-222-1-111-2-2001-10000-1100003i−3i−3i3i−3i3i3i−3i0000000000000000000000000000000000
χ7544-4-4-44-4-2-24-44-222-22222-2-212-2221-1-1-2-222-1-111-2-2001-10000-110000−3i3i3i−3i3i−3i−3i3i0000000000000000000000000000000000
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χ7844-4-4-4-44-2-244-4-222-22222-2-21-22-221-1-12-2-2-2-1-1112200-11−232323−231-100003−3−333−3−330000000000000000000000000000000000
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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.