Finite Group Databasebeta

← Group #11779311

Character table — Group #11779311

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93
size11112222222222222222444444444444444444488888888888888888888881212121212121212121212122424242424242424242424243636484848727272
order12223344446666661212121222346661212121212121212121212124666666661212121212121212121212121288882424242424242424888824242424242424242241212224
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1111-1-1-1
χ41111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1111
χ511111111111111111111-1-111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-1111111111111-1-111-1-1-1-1111111-1-1-1-1-11
χ611111111111111111111-1-111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1
χ711111111111111111111-1-111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-111-1
χ811111111111111111111-1-111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-111111-1-11
χ92222222-22-22222222222002-2222-2-2-2222222-2-2-20000000000000-2-2-2-2-200000000000000000000000000002200000-2
χ102222222-22-22222222222002-2222-2-2-2222222-2-2-20000000000000-2-2-2-2-20000000000000000000000000000-2-2000002
χ11222222-22-22222222-2-2-2-2222-2222222-2-2-2-2-2-2-2-22-222222222-2-2-2-2-222-2-2-2-2-2-200000000000000000000000000000000
χ12222222-22-22222222-2-2-2-2-2-22-2222222-2-2-2-2-2-2-2-222-2-2-2-2-2-2-2-22222-222-2-2222200000000000000000000000000000000
χ13222222-2-2-2-2222222-2-2-2-20022222-2-2-2-2-2-2-2-2-222-200000000000002-2-2220000000000000000000000000000000002-20
χ14222222-2-2-2-2222222-2-2-2-20022222-2-2-2-2-2-2-2-2-222-200000000000002-2-222000000000000000000000000000000000-220
χ1522222-1222222-12-1-1222222-12-1-1-122-1-1-1-1-1-1-122-1222-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-1-100000000000000220000-1-1-1-1002-1-1000
χ1622222-1222222-12-1-1222222-12-1-1-122-1-1-1-1-1-1-122-1222-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-1-100000000000000-2-20000111100-211000
χ1722222-1222222-12-1-12222-2-2-12-1-1-122-1-1-1-1-1-1-122-1-2-2-2111111-2-211-1-1-1-1-1111100000000000000220000-1-1-1-100-211000
χ1822222-1222222-12-1-12222-2-2-12-1-1-122-1-1-1-1-1-1-122-1-2-2-2111111-2-211-1-1-1-1-1111100000000000000-2-200001111002-1-1000
χ1922222-1-22-2222-12-1-1-2-2-2-222-1-2-1-1-122-1111111-2-2-1-222-1-1-1-1-1-1-2-2111-1-111111100000000000000000000−i3−i3i3i3000−i3i3000
χ2022222-1-22-2222-12-1-1-2-2-2-222-1-2-1-1-122-1111111-2-2-1-222-1-1-1-1-1-1-2-2111-1-111111100000000000000000000i3i3−i3−i3000i3−i3000
χ2122222-1-22-2222-12-1-1-2-2-2-2-2-2-1-2-1-1-122-1111111-2-2-12-2-211111122-1-11-1-111-1-1-1-100000000000000000000−i3−i3i3i3000i3−i3000
χ2222222-1-22-2222-12-1-1-2-2-2-2-2-2-1-2-1-1-122-1111111-2-2-12-2-211111122-1-11-1-111-1-1-1-100000000000000000000i3i3−i3−i3000−i3i3000
χ232222-122222-1-12-122-1-1-1-122-12-1-1-1-1-1222-1-1-1-1-1-122-1-122-1-1-1-1-1-1222-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-12200-1-1-1-1000000000000
χ242222-122222-1-12-122-1-1-1-122-12-1-1-1-1-1222-1-1-1-1-1-122-1-122-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-2-2-2-211111111-2-2001111000000000000
χ252222-122222-1-12-122-1-1-1-1-2-2-12-1-1-1-1-1222-1-1-1-1-1-12-211-2-2111111-2-22-1-1-1-111112222-1-1-1-1-1-1-1-1-2-2001111000000000000
χ262222-122222-1-12-122-1-1-1-1-2-2-12-1-1-1-1-1222-1-1-1-1-1-12-211-2-2111111-2-22-1-1-1-11111-2-2-2-2111111112200-1-1-1-1000000000000
χ272222-12-22-22-1-12-122111122-1-2-1-1-1-1-12-2-21111112-2-1-122-1-1-1-111-2-2-2-1-111111100003333−3−3−3−3000033−3−3000000000000
χ282222-12-22-22-1-12-122111122-1-2-1-1-1-1-12-2-21111112-2-1-122-1-1-1-111-2-2-2-1-11111110000−3−3−3−333330000−3−333000000000000
χ292222-12-22-22-1-12-1221111-2-2-1-2-1-1-1-1-12-2-21111112211-2-21111-1-122-2-1-111-1-1-1-100003333−3−3−3−30000−3−333000000000000
χ302222-12-22-22-1-12-1221111-2-2-1-2-1-1-1-1-12-2-21111112211-2-21111-1-122-2-1-111-1-1-1-10000−3−3−3−33333000033−3−3000000000000
χ3122-2-22220-20-2-2-222-222-2-20020-2-220002-222-2-20000000000000000000000000−i2−i2i2i2−i2−i2i2i2−i2−i2i2i200−i2i20000−i2i2−i2i22-2000000
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χ3322-2-22220-20-2-2-222-222-2-20020-2-220002-222-2-20000000000000000000000000i2i2−i2−i2i2i2−i2−i2i2i2−i2−i200−i2i20000−i2i2−i2i2-22000000
χ3422-2-22220-20-2-2-222-222-2-20020-2-220002-222-2-20000000000000000000000000i2i2−i2−i2i2i2−i2−i2i2i2−i2−i200i2−i20000i2−i2i2−i22-2000000
χ352-2-2222020-22-22-2-2-200002-2202-2-22-2200000000-202-22-222-2-2000002-2000000−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i200−i2i2−i2i2000000000000
χ362-2-2222020-22-22-2-2-200002-2202-2-22-2200000000-202-22-222-2-2000002-2000000i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i200i2−i2i2−i2000000000000
χ372-2-2222020-22-22-2-2-20000-22202-2-22-2200000000-20-22-22-2-222000002-2000000−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2i2−i200i2−i2i2−i2000000000000
χ382-2-2222020-22-22-2-2-20000-22202-2-22-2200000000-20-22-22-2-222000002-2000000i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2−i2i200−i2i2−i2i2000000000000
χ392-2-22-12020-2-1121-2-23−33−32-2-10-111-112003−33−33−3-20-112-2-1-1113−3000-113−333−3−3−i2i2−i2i2ζ5+ζ7−ζ5−ζ7ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23ζ13+ζ23−ζ13−ζ23−i2i200ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23000000000000
χ402-2-22-12020-2-1121-2-23−33−32-2-10-111-112003−33−33−3-20-112-2-1-1113−3000-113−333−3−3i2−i2i2−i2−ζ5−ζ7ζ5+ζ7−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23−ζ13−ζ23ζ13+ζ23i2−i200−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23000000000000
χ412-2-22-12020-2-1121-2-23−33−3-22-10-111-112003−33−33−3-201-1-2211-1-1−33000-113−3−3−333−i2i2−i2i2ζ5+ζ7−ζ5−ζ7ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23ζ13+ζ23−ζ13−ζ23i2−i200−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23000000000000
χ422-2-22-12020-2-1121-2-23−33−3-22-10-111-112003−33−33−3-201-1-2211-1-1−33000-113−3−3−333i2−i2i2−i2−ζ5−ζ7ζ5+ζ7−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23−ζ13−ζ23ζ13+ζ23−i2i200ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23000000000000
χ432-2-22-12020-2-1121-2-2−33−332-2-10-111-11200−33−33−33-20-112-2-1-111−33000-11−33−3−333−i2i2−i2i2ζ13+ζ23−ζ13−ζ23ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7ζ5+ζ7−ζ5−ζ7−i2i200ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7000000000000
χ442-2-22-12020-2-1121-2-2−33−332-2-10-111-11200−33−33−33-20-112-2-1-111−33000-11−33−3−333i2−i2i2−i2−ζ13−ζ23ζ13+ζ23−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7−ζ5−ζ7ζ5+ζ7i2−i200−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7000000000000
χ452-2-22-12020-2-1121-2-2−33−33-22-10-111-11200−33−33−33-201-1-2211-1-13−3000-11−3333−3−3−i2i2−i2i2ζ13+ζ23−ζ13−ζ23ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7ζ5+ζ7−ζ5−ζ7i2−i200−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7000000000000
χ462-2-22-12020-2-1121-2-2−33−33-22-10-111-11200−33−33−33-201-1-2211-1-13−3000-11−3333−3−3i2−i2i2−i2−ζ13−ζ23ζ13+ζ23−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7−ζ5−ζ7ζ5+ζ7−i2i200ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7000000000000
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χ524444-2-24444-2-2-2-2-2-2-2-2-2-2-4-414111-2-2-2-2-21111-2-2-2-42222-1-1-1-12222-21111-1-1-1-100000000000000000000000000000000
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χ554444-2-2-44-44-2-2-2-2-2-22222441-4111-2-2-222-1-1-1-122-2-4-2-2-2-211112222211-1-1-1-1-1-100000000000000000000000000000000
χ564444-2-2-44-44-2-2-2-2-2-22222-4-41-4111-2-2-222-1-1-1-122-242222-1-1-1-1-2-2-2-2211-1-1111100000000000000000000000000000000
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χ724-44-4-2400002-2-42-44−232323−2300-202-2200000−232323−2300000000000000000000000002-2-22−1+31−31−3−1+3−1−31+31+3−1−300000000000000000000
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χ854-4-44-2-20-404-22-222223−2323−2300101-1-12-2200−33−33−2323-2000003-3-3300−23230-113−33−3−3300000000000000000000000000000000
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χ928-88-8-4-400004-4444-443−43−43430020-22-200000−232323−23000000000000000000000000000000000000000000000000000000000
χ938-88-8-4-400004-4444-4−434343−430020-22-20000023−23−2323000000000000000000000000000000000000000000000000000000000

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