Finite Group Databasebeta

← Group #11779316

Character table — Group #11779316

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93
size1111222222222222222244444444444444444888888888888888888888881212121212121212121212121212242424242424242424242424243636484872144
order122233444466666612121212346661212121212121212121212128812121212122424242424242424242424242424242422888824242424242424242246688121224242424226644
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111-1-1111-1-111-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-111-1-11111-1-111-1-1
χ4111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111
χ51111111111111111111111111111111111111-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111111-1-111-1-1-1-111111-1
χ61111111111111111111111111111111111111-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111-1-1-1-1-11
χ71111111111111111111111111111111111111-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-111-11
χ81111111111111111111111111111111111111-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-111-1-1111111-1-11-1
χ92222222-22-222222222222-22222-2-2-222222-2-2-200-2-2-2-2-200000000000000000000000000000000000000000002200-20
χ102222222-22-222222222222-22222-2-2-222222-2-2-200-2-2-2-2-20000000000000000000000000000000000000000000-2-20020
χ11222222-22-22222222-2-2-2-22-2222-2222-2-2-2-2-2-2-2200-222-2-200000000000000002200000000000000-22200-2-20000000000
χ12222222-22-22222222-2-2-2-22-2222-2222-2-2-2-2-2-2-2200-222-2-20000000000000000-2-2000000000000002-2-200220000000000
χ13222222-2-2-2-2222222-2-2-2-222222-2-2-2-2-2-2-2-2-222-2002-2-2220000000000000000000000000000002-200000000000002-200
χ14222222-2-2-2-2222222-2-2-2-222222-2-2-2-2-2-2-2-2-222-2002-2-222000000000000000000000000000000-220000000000000-2200
χ1522222-1222222-1-1-122222-12-1-1-1-122-1-1-1-1-1-122-122-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-100000000000000220002200-1-1-1-100-1-100
χ1622222-1222222-1-1-122222-12-1-1-1-122-1-1-1-1-1-122-122-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-100000000000000-2-2000-2-2001111001100
χ1722222-1222222-1-1-122222-12-1-1-1-122-1-1-1-1-1-122-1-2-2-1-1-1-1-1-2-2-2-21111111111110000000000000022000-2-200111100-1-100
χ1822222-1222222-1-1-122222-12-1-1-1-122-1-1-1-1-1-122-1-2-2-1-1-1-1-1-2-2-2-211111111111100000000000000-2-20002200-1-1-1-1001100
χ1922222-1-2-2-2-222-1-1-12-2-2-2-2-12-1-1-11-2-211111122100-111-1-10000333333−3−3−3−3−3−3000000000000002-2000000033−3−300-1100
χ2022222-1-2-2-2-222-1-1-12-2-2-2-2-12-1-1-11-2-211111122100-111-1-10000333333−3−3−3−3−3−300000000000000-220000000−3−333001-100
χ2122222-1-2-2-2-222-1-1-12-2-2-2-2-12-1-1-11-2-211111122100-111-1-10000−3−3−3−3−3−3333333000000000000002-20000000−3−33300-1100
χ2222222-1-2-2-2-222-1-1-12-2-2-2-2-12-1-1-11-2-211111122100-111-1-10000−3−3−3−3−3−333333300000000000000-22000000033−3−3001-100
χ232222-122222-1-1222-1-1-1-1-1-12-1-1-12-1-12-1-12-1-1-1-12222-1-1-1-1-1-1-1-122-1-1-1-122-1-1-1-1222222-1-1-1-1-1-1-1-1002-1-100-1-10000000000
χ242222-122222-1-1222-1-1-1-1-1-12-1-1-12-1-12-1-12-1-1-1-12222-1-1-1-1-1-1-1-122-1-1-1-122-1-1-1-1-2-2-2-2-2-21111111100-21100110000000000
χ252222-122222-1-1222-1-1-1-1-1-12-1-1-12-1-12-1-12-1-1-1-12-2-22-1-1-1-11111-2-21111-2-2111122-2-2-2-211111111002-1-100-1-10000000000
χ262222-122222-1-1222-1-1-1-1-1-12-1-1-12-1-12-1-12-1-1-1-12-2-22-1-1-1-11111-2-21111-2-21111-2-22222-1-1-1-1-1-1-1-100-21100110000000000
χ272222-12-22-22-1-1222-11111-1-2-1-1-1-2-1-1211-21111200-2-1-11133−3−30033−3−30033−3−32200003333−3−3−3−300-2-1-100110000000000
χ282222-12-22-22-1-1222-11111-1-2-1-1-1-2-1-1211-21111200-2-1-11133−3−30033−3−30033−3−3-2-20000−3−3−3−333330021100-1-10000000000
χ292222-12-22-22-1-1222-11111-1-2-1-1-1-2-1-1211-21111200-2-1-111−3−33300−3−33300−3−333220000−3−3−3−3333300-2-1-100110000000000
χ302222-12-22-22-1-1222-11111-1-2-1-1-1-2-1-1211-21111200-2-1-111−3−33300−3−33300−3−333-2-200003333−3−3−3−30021100-1-10000000000
χ3122-2-22220-20-2-22-2-2222-2-2202-2-2200022-2-2-20000000000000000000000000000−i2−i2i2i2−i2−i2i2i2−i2−i2i2i200000−i2i200−i2i2−i2i22-20000
χ3222-2-22220-20-2-22-2-2222-2-2202-2-2200022-2-2-20000000000000000000000000000−i2−i2i2i2−i2−i2i2i2−i2−i2i2i200000i2−i200i2−i2i2−i2-220000
χ3322-2-22220-20-2-22-2-2222-2-2202-2-2200022-2-2-20000000000000000000000000000i2i2−i2−i2i2i2−i2−i2i2i2−i2−i200000−i2i200−i2i2−i2i2-220000
χ3422-2-22220-20-2-22-2-2222-2-2202-2-2200022-2-2-20000000000000000000000000000i2i2−i2−i2i2i2−i2−i2i2i2−i2−i200000i2−i200i2−i2i2−i22-20000
χ352-22-222020-22-2-22-2-2000020-22-202-220000000-2−i2i202-200−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i22-2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i20002-200000000000000
χ362-22-222020-22-2-22-2-2000020-22-202-220000000-2−i2i202-200−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2-22i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2000-2200000000000000
χ372-22-222020-22-2-22-2-2000020-22-202-220000000-2i2−i202-200i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i22-2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i20002-200000000000000
χ382-22-222020-22-2-22-2-2000020-22-202-220000000-2i2−i202-200i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2-22−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2000-2200000000000000
χ392-22-2-12020-2-11-22-213−33−3-101-110-1123−303−33−3-2−i2i20-113−3ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23−i2i2ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23−i2i2ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ232-2−i2i2−i2i2ζ5+ζ7−ζ5−ζ7ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23ζ13+ζ23−ζ13−ζ23000-11003−30000000000
χ402-22-2-12020-2-11-22-213−33−3-101-110-1123−303−33−3-2−i2i20-113−3ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23−i2i2ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23−i2i2ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23-22i2−i2i2−i2−ζ5−ζ7ζ5+ζ7−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23−ζ13−ζ23ζ13+ζ230001-100−330000000000
χ412-22-2-12020-2-11-22-213−33−3-101-110-1123−303−33−3-2i2−i20-113−3−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23i2−i2−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23i2−i2−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ232-2i2−i2i2−i2−ζ5−ζ7ζ5+ζ7−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23−ζ13−ζ23ζ13+ζ23000-11003−30000000000
χ422-22-2-12020-2-11-22-213−33−3-101-110-1123−303−33−3-2i2−i20-113−3−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23i2−i2−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23i2−i2−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23-22−i2i2−i2i2ζ5+ζ7−ζ5−ζ7ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23ζ13+ζ23−ζ13−ζ230001-100−330000000000
χ432-22-2-12020-2-11-22-21−33−33-101-110-112−330−33−33-2−i2i20-11−33ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7−i2i2ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7−i2i2ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ72-2−i2i2−i2i2ζ13+ζ23−ζ13−ζ23ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7ζ5+ζ7−ζ5−ζ7000-1100−330000000000
χ442-22-2-12020-2-11-22-21−33−33-101-110-112−330−33−33-2−i2i20-11−33ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7−i2i2ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7−i2i2ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7-22i2−i2i2−i2−ζ13−ζ23ζ13+ζ23−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7−ζ5−ζ7ζ5+ζ70001-1003−30000000000
χ452-22-2-12020-2-11-22-21−33−33-101-110-112−330−33−33-2i2−i20-11−33−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7i2−i2−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7i2−i2−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ72-2i2−i2i2−i2−ζ13−ζ23ζ13+ζ23−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7−ζ5−ζ7ζ5+ζ7000-1100−330000000000
χ462-22-2-12020-2-11-22-21−33−33-101-110-112−330−33−33-2i2−i20-11−33−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7i2−i2−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7i2−i2−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7-22−i2i2−i2i2ζ13+ζ23−ζ13−ζ23ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7ζ5+ζ7−ζ5−ζ70001-1003−30000000000
χ4744444-24-44-444-2-2-244444-2-4-2-2-2-2-4-42-2-2-2-2-2-4-4200222220000000000000000000000000000000000000000000000000
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χ524444-2-24444-2-2-2-2-2-2-2-2-2-214111-2-2-2-211-211-2-2-2-4-4-21111222222-1-1-1-122-1-1-1-1000000000000000000000000000000000
χ534444-2-24-44-4-2-2-2-2-2-2-2-2-2-21-4111-222211-211222002-1-1-1-100000033-3-300-3-333000000000000000000000000000000000
χ544444-2-24-44-4-2-2-2-2-2-2-2-2-2-21-4111-222211-211222002-1-1-1-1000000-3-3330033-3-3000000000000000000000000000000000
χ554444-2-2-44-44-2-2-2-2-2-222221-41112-2-2-2-1-12-1-122-200211-1-12323−23−2300−3−33300−3−333000000000000000000000000000000000
χ564444-2-2-44-44-2-2-2-2-2-222221-41112-2-2-2-1-12-1-122-200211-1-1−23−2323230033−3−30033−3−3000000000000000000000000000000000
χ574444-2-2-4-4-4-4-2-2-2-2-2-22222141112222-1-12-1-1-2-2200-2-1-11100002323−3−3−3−3−23−233333000000000000000000000000000000000
χ584444-2-2-4-4-4-4-2-2-2-2-2-22222141112222-1-12-1-1-2-2200-2-1-1110000−23−2333332323−3−3−3−3000000000000000000000000000000000
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χ814-44-4-2-20-404-222-222−2323−232310-11-102-223−303−323−23-2000-11−330000i6−i6−2ζ5−2ζ7−ζ13−ζ232ζ5+2ζ7+ζ13+ζ23ζ5+ζ7+2ζ13+2ζ23−ζ5−ζ7−2ζ13−2ζ23−i6i62ζ5+2ζ7+ζ13+ζ23−2ζ5−2ζ7−ζ13−ζ23−ζ5−ζ7−2ζ13−2ζ23ζ5+ζ7+2ζ13+2ζ23000000000000000000000000000000000
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χ874-4-44-2400002-2-4-442−232323−23-2022-20000−2323023−2300000000000000000000000000002-2-22−1+31−31−3−1+3−1−31+31+3−1−30000000000000000000
χ884-4-44-2400002-2-4-442−232323−23-2022-20000−2323023−230000000000000000000000000000-222-21−3−1+3−1+31−31+3−1−3−1−31+30000000000000000000
χ8988-8-8-4-480-8044-444-4-4-444202-2-2-4000224-2-200000000000000000000000000000000000000000000000000000000000
χ9088-8-8-4-4-808044-444-444-4-4202-2-24000-2-2-42200000000000000000000000000000000000000000000000000000000000
χ918-8-888-40000-8844-4-80000-4044-400000000000000000000000000000000000000000000000000000000000000000000
χ928-8-88-4-400004-444-4443−43−434320-2-220000−2323023−2300000000000000000000000000000000000000000000000000000000000
χ938-8-88-4-400004-444-44−434343−4320-2-22000023−230−232300000000000000000000000000000000000000000000000000000000000

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