Finite Group Databasebeta

← Group #11797181

Character table — Group #11797181

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132
size1111222222222222224444444444444444444444444444181818181818181824242424242424242424242411112222222222222244444444444444444444444444441818181818181818242424242424242424242424
order12223344666666888836661212121212121212242424242424242424242424242424241616161616161616444412121212121212122222664466666688886666121212121212121224242424242424242424242424242424161616161616161644441212121212121212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-11111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1
χ41111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111
χ511-1-111-11-1-111-1-1-1-1111-1-11-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-1-1-1-1i−ii−iii−i−iii−i−i11-1-111-11-1-111-1-1-1-1111-1-11-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-1-1-1-1i−ii−iii−i−iii−i−i
χ611-1-111-11-1-111-1-1-1-1111-1-11-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-1-1-1-1−ii−ii−i−iii−i−iii11-1-111-11-1-111-1-1-1-1111-1-11-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-1-1-1-1−ii−ii−i−iii−i−iii
χ711-1-111-11-1-111-1-1-1-1111-1-11-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-11111i−i−iiii−i−i−i−iii11-1-111-11-1-111-1-1-1-1111-1-11-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-11111i−i−iiii−i−i−i−iii
χ811-1-111-11-1-111-1-1-1-1111-1-11-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-11111−iii−i−i−iiiii−i−i11-1-111-11-1-111-1-1-1-1111-1-11-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-11111−iii−i−i−iiiii−i−i
χ922222222222222-2-2-2-2222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-20000000000000000000022222222222222-2-2-2-2222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-200000000000000000000
χ10222222-2-222222200002222-2-2-2-2-2-2-2-2000000000000000022−2−222−2−2000000000000222222-2-222222200002222-2-2-2-2-2-2-2-2000000000000000022−2−222−2−2000000000000
χ11222222-2-222222200002222-2-2-2-2-2-2-2-20000000000000000−2−222−2−222000000000000222222-2-222222200002222-2-2-2-2-2-2-2-20000000000000000−2−222−2−222000000000000
χ1222222-1222-12-12-12222-1-1-1-12-1-1-12-1-1-122-1-1-1-1-1-122-1-1-1-1-1-10000000000220000-1-1-1-122222-1222-12-12-12222-1-1-1-12-1-1-12-1-1-122-1-1-1-1-1-122-1-1-1-1-1-10000000000220000-1-1-1-1
χ1322222-1222-12-12-12222-1-1-1-12-1-1-12-1-1-122-1-1-1-1-1-122-1-1-1-1-1-10000000000-2-20000111122222-1222-12-12-12222-1-1-1-12-1-1-12-1-1-122-1-1-1-1-1-122-1-1-1-1-1-10000000000-2-200001111
χ1422222-1222-12-12-1-2-2-2-2-1-1-1-12-1-1-12-1-1-1-2-2111111-2-21111110000000000000000−i3i3−i3i322222-1222-12-12-1-2-2-2-2-1-1-1-12-1-1-12-1-1-1-2-2111111-2-21111110000000000000000−i3i3−i3i3
χ1522222-1222-12-12-1-2-2-2-2-1-1-1-12-1-1-12-1-1-1-2-2111111-2-21111110000000000000000i3−i3i3−i322222-1222-12-12-1-2-2-2-2-1-1-1-12-1-1-12-1-1-1-2-2111111-2-21111110000000000000000i3−i3i3−i3
χ162222-1222-12-12-122222-1-1-1-1-12-1-1-12-1-1-1-122-1-1-1-1-1-122-1-1-1-1000000002200-1-1-1-100002222-1222-12-12-122222-1-1-1-1-12-1-1-12-1-1-1-122-1-1-1-1-1-122-1-1-1-1000000002200-1-1-1-10000
χ172222-1222-12-12-122222-1-1-1-1-12-1-1-12-1-1-1-122-1-1-1-1-1-122-1-1-1-100000000-2-200111100002222-1222-12-12-122222-1-1-1-1-12-1-1-12-1-1-1-122-1-1-1-1-1-122-1-1-1-100000000-2-20011110000
χ182222-1222-12-12-12-2-2-2-2-1-1-1-1-12-1-1-12-1-111-2-2111111-2-21111000000000000−i3i3−i3i300002222-1222-12-12-12-2-2-2-2-1-1-1-1-12-1-1-12-1-111-2-2111111-2-21111000000000000−i3i3−i3i30000
χ192222-1222-12-12-12-2-2-2-2-1-1-1-1-12-1-1-12-1-111-2-2111111-2-21111000000000000i3−i3i3−i300002222-1222-12-12-12-2-2-2-2-1-1-1-1-12-1-1-12-1-111-2-2111111-2-21111000000000000i3−i3i3−i30000
χ2022-2-2222-2-2-222-2-200002-2-222222-2-2-2-2000000000000000022−2−2−2−22200000000000022-2-2222-2-2-222-2-200002-2-222222-2-2-2-2000000000000000022−2−2−2−222000000000000
χ2122-2-2222-2-2-222-2-200002-2-222222-2-2-2-20000000000000000−2−22222−2−200000000000022-2-2222-2-2-222-2-200002-2-222222-2-2-2-20000000000000000−2−22222−2−2000000000000
χ2222-2-222-22-2-222-2-222-2-22-2-22-2-2-2-22222-2-2-2-2-2-2-2-2222222220000000000000000000022-2-222-22-2-222-2-222-2-22-2-22-2-2-2-22222-2-2-2-2-2-2-2-22222222200000000000000000000
χ2322-2-22-1-22-212-1-2122-2-2-111-1-21112-1-1-1-2-211111122-1-1-1-1-1-100000000000000003−3−3322-2-22-1-22-212-1-2122-2-2-111-1-21112-1-1-1-2-211111122-1-1-1-1-1-100000000000000003−3−33
χ2422-2-22-1-22-212-1-2122-2-2-111-1-21112-1-1-1-2-211111122-1-1-1-1-1-10000000000000000−333−322-2-22-1-22-212-1-2122-2-2-111-1-21112-1-1-1-2-211111122-1-1-1-1-1-10000000000000000−333−3
χ2522-2-22-1-22-212-1-21-2-222-111-1-21112-1-1-122-1-1-1-1-1-1-2-211111100000000002i−2i0000−i−iii22-2-22-1-22-212-1-21-2-222-111-1-21112-1-1-122-1-1-1-1-1-1-2-211111100000000002i−2i0000−i−iii
χ2622-2-22-1-22-212-1-21-2-222-111-1-21112-1-1-122-1-1-1-1-1-1-2-21111110000000000−2i2i0000ii−i−i22-2-22-1-22-212-1-21-2-222-111-1-21112-1-1-122-1-1-1-1-1-1-2-21111110000000000−2i2i0000ii−i−i
χ2722-2-2-12-221-2-121-222-2-2-111-11-211-12-1-111-2-21111-1-122-1-1-1-10000000000003−3−33000022-2-2-12-221-2-121-222-2-2-111-11-211-12-1-111-2-21111-1-122-1-1-1-10000000000003−3−330000
χ2822-2-2-12-221-2-121-222-2-2-111-11-211-12-1-111-2-21111-1-122-1-1-1-1000000000000−333−3000022-2-2-12-221-2-121-222-2-2-111-11-211-12-1-111-2-21111-1-122-1-1-1-1000000000000−333−30000
χ2922-2-2-12-221-2-121-2-2-222-111-11-211-12-1-1-1-122-1-1-1-111-2-21111000000002i−2i00−i−iii000022-2-2-12-221-2-121-2-2-222-111-11-211-12-1-1-1-122-1-1-1-111-2-21111000000002i−2i00−i−iii0000
χ3022-2-2-12-221-2-121-2-2-222-111-11-211-12-1-1-1-122-1-1-1-111-2-2111100000000−2i2i00ii−i−i000022-2-2-12-221-2-121-2-2-222-111-11-211-12-1-1-1-122-1-1-1-111-2-2111100000000−2i2i00ii−i−i0000
χ312-22-222002-2-2-2-222−22−222-2-2000000002−22−222−2−22−22−222−2−2−ζ25−ζ31−ζ41−ζ47ζ25+ζ31+ζ41+ζ47ζ11+ζ13+ζ29+ζ43−ζ11−ζ13−ζ29−ζ43−ζ25−ζ31−ζ41−ζ47ζ25+ζ31+ζ41+ζ47ζ11+ζ13+ζ29+ζ43−ζ11−ζ13−ζ29−ζ430000000000002-22-222002-2-2-2-222−22−222-2-2000000002−22−222−2−22−22−222−2−2−ζ25−ζ31−ζ41−ζ47ζ25+ζ31+ζ41+ζ47ζ11+ζ13+ζ29+ζ43−ζ11−ζ13−ζ29−ζ43−ζ25−ζ31−ζ41−ζ47ζ25+ζ31+ζ41+ζ47ζ11+ζ13+ζ29+ζ43−ζ11−ζ13−ζ29−ζ43000000000000
χ322-22-222002-2-2-2-222−22−222-2-2000000002−22−222−2−22−22−222−2−2ζ25+ζ31+ζ41+ζ47−ζ25−ζ31−ζ41−ζ47−ζ11−ζ13−ζ29−ζ43ζ11+ζ13+ζ29+ζ43ζ25+ζ31+ζ41+ζ47−ζ25−ζ31−ζ41−ζ47−ζ11−ζ13−ζ29−ζ43ζ11+ζ13+ζ29+ζ430000000000002-22-222002-2-2-2-222−22−222-2-2000000002−22−222−2−22−22−222−2−2ζ25+ζ31+ζ41+ζ47−ζ25−ζ31−ζ41−ζ47−ζ11−ζ13−ζ29−ζ43ζ11+ζ13+ζ29+ζ43ζ25+ζ31+ζ41+ζ47−ζ25−ζ31−ζ41−ζ47−ζ11−ζ13−ζ29−ζ43ζ11+ζ13+ζ29+ζ43000000000000
χ332-22-222002-2-2-2-22−22−2222-2-200000000−22−22−2−222−22−22−2−222ζ11+ζ13+ζ29+ζ43−ζ11−ζ13−ζ29−ζ43ζ25+ζ31+ζ41+ζ47−ζ25−ζ31−ζ41−ζ47ζ11+ζ13+ζ29+ζ43−ζ11−ζ13−ζ29−ζ43ζ25+ζ31+ζ41+ζ47−ζ25−ζ31−ζ41−ζ470000000000002-22-222002-2-2-2-22−22−2222-2-200000000−22−22−2−222−22−22−2−222ζ11+ζ13+ζ29+ζ43−ζ11−ζ13−ζ29−ζ43ζ25+ζ31+ζ41+ζ47−ζ25−ζ31−ζ41−ζ47ζ11+ζ13+ζ29+ζ43−ζ11−ζ13−ζ29−ζ43ζ25+ζ31+ζ41+ζ47−ζ25−ζ31−ζ41−ζ47000000000000
χ342-22-222002-2-2-2-22−22−2222-2-200000000−22−22−2−222−22−22−2−222−ζ11−ζ13−ζ29−ζ43ζ11+ζ13+ζ29+ζ43−ζ25−ζ31−ζ41−ζ47ζ25+ζ31+ζ41+ζ47−ζ11−ζ13−ζ29−ζ43ζ11+ζ13+ζ29+ζ43−ζ25−ζ31−ζ41−ζ47ζ25+ζ31+ζ41+ζ470000000000002-22-222002-2-2-2-22−22−2222-2-200000000−22−22−2−222−22−22−2−222−ζ11−ζ13−ζ29−ζ43ζ11+ζ13+ζ29+ζ43−ζ25−ζ31−ζ41−ζ47ζ25+ζ31+ζ41+ζ47−ζ11−ζ13−ζ29−ζ43ζ11+ζ13+ζ29+ζ43−ζ25−ζ31−ζ41−ζ47ζ25+ζ31+ζ41+ζ47000000000000
χ352-2-222200-22-2-22-22−2−222-22-200000000−22−22−2−2222−22−222−2−2ζ11+ζ13+ζ29+ζ43−ζ11−ζ13−ζ29−ζ43ζ25+ζ31+ζ41+ζ47−ζ25−ζ31−ζ41−ζ47−ζ11−ζ13−ζ29−ζ43ζ11+ζ13+ζ29+ζ43−ζ25−ζ31−ζ41−ζ47ζ25+ζ31+ζ41+ζ470000000000002-2-222200-22-2-22-22−2−222-22-200000000−22−22−2−2222−22−222−2−2ζ11+ζ13+ζ29+ζ43−ζ11−ζ13−ζ29−ζ43ζ25+ζ31+ζ41+ζ47−ζ25−ζ31−ζ41−ζ47−ζ11−ζ13−ζ29−ζ43ζ11+ζ13+ζ29+ζ43−ζ25−ζ31−ζ41−ζ47ζ25+ζ31+ζ41+ζ47000000000000
χ362-2-222200-22-2-22-22−2−222-22-200000000−22−22−2−2222−22−222−2−2−ζ11−ζ13−ζ29−ζ43ζ11+ζ13+ζ29+ζ43−ζ25−ζ31−ζ41−ζ47ζ25+ζ31+ζ41+ζ47ζ11+ζ13+ζ29+ζ43−ζ11−ζ13−ζ29−ζ43ζ25+ζ31+ζ41+ζ47−ζ25−ζ31−ζ41−ζ470000000000002-2-222200-22-2-22-22−2−222-22-200000000−22−22−2−2222−22−222−2−2−ζ11−ζ13−ζ29−ζ43ζ11+ζ13+ζ29+ζ43−ζ25−ζ31−ζ41−ζ47ζ25+ζ31+ζ41+ζ47ζ11+ζ13+ζ29+ζ43−ζ11−ζ13−ζ29−ζ43ζ25+ζ31+ζ41+ζ47−ζ25−ζ31−ζ41−ζ47000000000000
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χ1324-4-44-2-2002-222-22−222222−221-11-100−3i3i003i−3i−22−22−2ζ10−ζ14−2ζ26−ζ46ζ10+2ζ14+ζ26+2ζ462ζ10+ζ14+2ζ26+ζ46−ζ10−2ζ14−ζ26−2ζ462−22−22ζ10+ζ14+2ζ26+ζ46−ζ10−2ζ14−ζ26−2ζ46−2ζ10−ζ14−2ζ26−ζ46ζ10+2ζ14+ζ26+2ζ4600000000000000000000-444-42200-22-2-22-222−22−2222-11-11003i−3i00−3i3i2−22−22ζ10+ζ14+2ζ26+ζ46−ζ10−2ζ14−ζ26−2ζ46−2ζ10−ζ14−2ζ26−ζ46ζ10+2ζ14+ζ26+2ζ46−22−22−2ζ10−ζ14−2ζ26−ζ46ζ10+2ζ14+ζ26+2ζ462ζ10+ζ14+2ζ26+ζ46−ζ10−2ζ14−ζ26−2ζ4600000000000000000000

Here ζ is a primitive root of unity of order 48 (ζ48 = 1); i = ζ12.