Finite Group Databasebeta

← Group #11921279

Character table — Group #11921279

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90
size11112222224444444444444444666666668888888888881212121212121212121212121616161616161616161616161616161624242424242424243636363648484848
order12223446663344666666121212121212224488883366666612121212444466121212121212121212121212121212121212121212122424242424242424448812121212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111-1-1-1-1111111111111-1-111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111-1-1111111-1-1-1-11111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-111-1-1-1-1
χ4111111111111-1-1111111-1-1-1-1111111-1-1-1-111111111111111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111
χ51111111111−1−i32−1+i3211−1−i32−1+i32−1−i32−1+i32−1−i32−1+i3211111111111111−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32111111111111−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i321111−1−i32−1−i32−1+i32−1+i32
χ61111111111−1−i32−1+i3211−1−i32−1+i32−1−i32−1+i32−1−i32−1+i321111111111-1-1-1-1−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32-1-11111111111−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i321+i321+i321+i321+i321−i321−i321−i321−i32-1-1-1-11+i321+i321−i321−i32
χ71111111111−1−i32−1+i32-1-1−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32-1-1-1-11111111111−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32-1-1-1-11111-1-1-1-11+i321+i321−i321−i32−1−i32−1−i32−1+i32−1+i321+i321+i321+i321+i321−i321−i321−i321−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32-1-1111+i321+i321−i321−i32
χ81111111111−1−i32−1+i32-1-1−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32-1-1-1-1111111-1-1-1-1−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i3211-1-11111-1-1-1-11+i321+i321−i321−i32−1−i32−1−i32−1+i32−1+i321+i321+i321+i321+i321−i321−i321−i321−i321+i321+i321+i321+i321−i321−i321−i321−i3211-1-1−1−i32−1−i32−1+i32−1+i32
χ91111111111−1+i32−1−i3211−1+i32−1−i32−1+i32−1−i32−1+i32−1−i3211111111111111−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32111111111111−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i321111−1+i32−1+i32−1−i32−1−i32
χ101111111111−1+i32−1−i3211−1+i32−1−i32−1+i32−1−i32−1+i32−1−i321111111111-1-1-1-1−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32-1-11111111111−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i321−i321−i321−i321−i321+i321+i321+i321+i32-1-1-1-11−i321−i321+i321+i32
χ111111111111−1+i32−1−i32-1-1−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32-1-1-1-11111111111−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32-1-1-1-11111-1-1-1-11−i321−i321+i321+i32−1+i32−1+i32−1−i32−1−i321−i321−i321−i321−i321+i321+i321+i321+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32-1-1111−i321−i321+i321+i32
χ121111111111−1+i32−1−i32-1-1−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32-1-1-1-1111111-1-1-1-1−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i3211-1-11111-1-1-1-11−i321−i321+i321+i32−1+i32−1+i32−1−i32−1−i321−i321−i321−i321−i321+i321+i321+i321+i321−i321−i321−i321−i321+i321+i321+i321+i3211-1-1−1+i32−1+i32−1−i32−1−i32
χ1311-1-11-11-11-111i−i-1-111-1-1ii−i−i1-11-11-111-1-111-1-111-1-1-1-111i−ii−i1-11-1ii−i−ii−ii−i1-11-1ii−i−iii−i−i11-1-111-1-1i−i1-1i−ii−i
χ1411-1-11-11-11-111i−i-1-111-1-1ii−i−i1-11-11-1-1-11111-1-111-1-1-1-111−iii−i1-11-1ii−i−ii−ii−i1-11-1ii−i−iii−i−i-1-111-1-111−ii-11−ii−ii
χ1511-1-11-11-11-111−ii-1-111-1-1−i−iii1-11-11-111-1-111-1-111-1-1-1-111−ii−ii1-11-1−i−iii−ii−ii1-11-1−i−iii−i−iii11-1-111-1-1−ii1-1−ii−ii
χ1611-1-11-11-11-111−ii-1-111-1-1−i−iii1-11-11-1-1-11111-1-111-1-1-1-111i−i−ii1-11-1−i−iii−ii−ii1-11-1−i−iii−i−iii-1-111-1-111i−i-11i−ii−i
χ1711-1-11-11-11-1−1−i32−1+i32i−i1+i321−i32−1−i32−1+i321+i321−i32ii−i−i1-11-11-111-1-1−1−i32−1+i321+i321−i32−1−i32−1+i321+i321−i321+i321−i32−1−i32−1+i32i−ii−i1-11-1ii−i−iζ22−ζ22ζ14−ζ14−1−i321+i32−1+i321−i32ζ22ζ22−ζ22−ζ22ζ14ζ14−ζ14−ζ14−1−i32−1−i321+i321+i32−1+i32−1+i321−i321−i32i−i1-1ζ22−ζ22ζ14−ζ14
χ1811-1-11-11-11-1−1−i32−1+i32i−i1+i321−i32−1−i32−1+i321+i321−i32ii−i−i1-11-11-1-1-111−1−i32−1+i321+i321−i32−1−i32−1+i321+i321−i321+i321−i32−1−i32−1+i32−iii−i1-11-1ii−i−iζ22−ζ22ζ14−ζ14−1−i321+i32−1+i321−i32ζ22ζ22−ζ22−ζ22ζ14ζ14−ζ14−ζ141+i321+i32−1−i32−1−i321−i321−i32−1+i32−1+i32−ii-11−ζ22ζ22−ζ14ζ14
χ1911-1-11-11-11-1−1−i32−1+i32−ii1+i321−i32−1−i32−1+i321+i321−i32−i−iii1-11-11-111-1-1−1−i32−1+i321+i321−i32−1−i32−1+i321+i321−i321+i321−i32−1−i32−1+i32−ii−ii1-11-1−i−iii−ζ22ζ22−ζ14ζ14−1−i321+i32−1+i321−i32−ζ22−ζ22ζ22ζ22−ζ14−ζ14ζ14ζ14−1−i32−1−i321+i321+i32−1+i32−1+i321−i321−i32−ii1-1−ζ22ζ22−ζ14ζ14
χ2011-1-11-11-11-1−1−i32−1+i32−ii1+i321−i32−1−i32−1+i321+i321−i32−i−iii1-11-11-1-1-111−1−i32−1+i321+i321−i32−1−i32−1+i321+i321−i321+i321−i32−1−i32−1+i32i−i−ii1-11-1−i−iii−ζ22ζ22−ζ14ζ14−1−i321+i32−1+i321−i32−ζ22−ζ22ζ22ζ22−ζ14−ζ14ζ14ζ141+i321+i32−1−i32−1−i321−i321−i32−1+i32−1+i32i−i-11ζ22−ζ22ζ14−ζ14
χ2111-1-11-11-11-1−1+i32−1−i32i−i1−i321+i32−1+i32−1−i321−i321+i32ii−i−i1-11-11-111-1-1−1+i32−1−i321−i321+i32−1+i32−1−i321−i321+i321−i321+i32−1+i32−1−i32i−ii−i1-11-1ii−i−iζ14−ζ14ζ22−ζ22−1+i321−i32−1−i321+i32ζ14ζ14−ζ14−ζ14ζ22ζ22−ζ22−ζ22−1+i32−1+i321−i321−i32−1−i32−1−i321+i321+i32i−i1-1ζ14−ζ14ζ22−ζ22
χ2211-1-11-11-11-1−1+i32−1−i32i−i1−i321+i32−1+i32−1−i321−i321+i32ii−i−i1-11-11-1-1-111−1+i32−1−i321−i321+i32−1+i32−1−i321−i321+i321−i321+i32−1+i32−1−i32−iii−i1-11-1ii−i−iζ14−ζ14ζ22−ζ22−1+i321−i32−1−i321+i32ζ14ζ14−ζ14−ζ14ζ22ζ22−ζ22−ζ221−i321−i32−1+i32−1+i321+i321+i32−1−i32−1−i32−ii-11−ζ14ζ14−ζ22ζ22
χ2311-1-11-11-11-1−1+i32−1−i32−ii1−i321+i32−1+i32−1−i321−i321+i32−i−iii1-11-11-111-1-1−1+i32−1−i321−i321+i32−1+i32−1−i321−i321+i321−i321+i32−1+i32−1−i32−ii−ii1-11-1−i−iii−ζ14ζ14−ζ22ζ22−1+i321−i32−1−i321+i32−ζ14−ζ14ζ14ζ14−ζ22−ζ22ζ22ζ22−1+i32−1+i321−i321−i32−1−i32−1−i321+i321+i32−ii1-1−ζ14ζ14−ζ22ζ22
χ2411-1-11-11-11-1−1+i32−1−i32−ii1−i321+i32−1+i32−1−i321−i321+i32−i−iii1-11-11-1-1-111−1+i32−1−i321−i321+i32−1+i32−1−i321−i321+i321−i321+i32−1+i32−1−i32i−i−ii1-11-1−i−iii−ζ14ζ14−ζ22ζ22−1+i321−i32−1−i321+i32−ζ14−ζ14ζ14ζ14−ζ22−ζ22ζ22ζ221−i321−i32−1+i32−1+i321+i321+i32−1−i32−1−i32i−i-11ζ14−ζ14ζ22−ζ22
χ2522222-2-222222002222220000-2-2-2-222000022222222-2-2-2-20000-2-22200000000-2-2-2-2000000000000000000000000
χ2622222-2-2222−1−i3−1+i300−1−i3−1+i3−1−i3−1+i3−1−i3−1+i30000-2-2-2-2220000−1−i3−1+i3−1−i3−1+i3−1−i3−1+i3−1−i3−1+i31+i31−i31+i31−i30000-2-222000000001+i31+i31−i31−i3000000000000000000000000
χ2722222-2-2222−1+i3−1−i300−1+i3−1−i3−1+i3−1−i3−1+i3−1−i30000-2-2-2-2220000−1+i3−1−i3−1+i3−1−i3−1+i3−1−i3−1+i3−1−i31−i31+i31−i31+i30000-2-222000000001−i31−i31+i31+i3000000000000000000000000
χ282222-122-1-1-12222222222-1-1-1-1-1-122220000-1-1-1-1-1-1-1-122220022-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-10000000000000000
χ292222-122-1-1-122-2-22222221111-1-122220000-1-1-1-1-1-1-1-1222200-2-2-1-1-1-11111-2-2-2-2-1-1-1-1111111110000000000000000
χ302222-122-1-1-1−1−i3−1+i322−1−i3−1+i3−1−i3−1+i3−1−i3−1+i3-1-1-1-1-1-1222200001+i321−i321+i321−i321+i321−i321+i321−i32−1−i3−1+i3−1−i3−1+i30022-1-1-1-1-1-1-1-1−1−i3−1−i3−1+i3−1+i31+i321+i321−i321−i321+i321+i321+i321+i321−i321−i321−i321−i320000000000000000
χ312222-122-1-1-1−1−i3−1+i3-2-2−1−i3−1+i3−1−i3−1+i3−1−i3−1+i31111-1-1222200001+i321−i321+i321−i321+i321−i321+i321−i32−1−i3−1+i3−1−i3−1+i300-2-2-1-1-1-111111+i31+i31−i31−i31+i321+i321−i321−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i320000000000000000
χ322222-122-1-1-1−1+i3−1−i322−1+i3−1−i3−1+i3−1−i3−1+i3−1−i3-1-1-1-1-1-1222200001−i321+i321−i321+i321−i321+i321−i321+i32−1+i3−1−i3−1+i3−1−i30022-1-1-1-1-1-1-1-1−1+i3−1+i3−1−i3−1−i31−i321−i321+i321+i321−i321−i321−i321−i321+i321+i321+i321+i320000000000000000
χ332222-122-1-1-1−1+i3−1−i3-2-2−1+i3−1−i3−1+i3−1−i3−1+i3−1−i31111-1-1222200001−i321+i321−i321+i321−i321+i321−i321+i32−1+i3−1−i3−1+i3−1−i300-2-2-1-1-1-111111−i31−i31+i31+i31−i321−i321+i321+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i320000000000000000
χ342222-1-2-2-1-1-12200222222−i3i3−i3i311-2-2220000-1-1-1-1-1-1-1-1-2-2-2-2000011-1-1−i3i3−i3i300001111−i3i3−i3i3−i3i3−i3i30000000000000000
χ352222-1-2-2-1-1-12200222222i3−i3i3−i311-2-2220000-1-1-1-1-1-1-1-1-2-2-2-2000011-1-1i3−i3i3−i300001111i3−i3i3−i3i3−i3i3−i30000000000000000
χ362222-1-2-2-1-1-1−1−i3−1+i300−1−i3−1+i3−1−i3−1+i3−1−i3−1+i3−i3i3−i3i311-2-22200001+i321−i321+i321−i321+i321−i321+i321−i321+i31−i31+i31−i3000011-1-1−i3i3−i3i30000−1−i32−1−i32−1+i32−1+i32−3+i323−i32−3+i323−i323+i32−3−i323+i32−3−i320000000000000000
χ372222-1-2-2-1-1-1−1−i3−1+i300−1−i3−1+i3−1−i3−1+i3−1−i3−1+i3i3−i3i3−i311-2-22200001+i321−i321+i321−i321+i321−i321+i321−i321+i31−i31+i31−i3000011-1-1i3−i3i3−i30000−1−i32−1−i32−1+i32−1+i323−i32−3+i323−i32−3+i32−3−i323+i32−3−i323+i320000000000000000
χ382222-1-2-2-1-1-1−1+i3−1−i300−1+i3−1−i3−1+i3−1−i3−1+i3−1−i3−i3i3−i3i311-2-22200001−i321+i321−i321+i321−i321+i321−i321+i321−i31+i31−i31+i3000011-1-1−i3i3−i3i30000−1+i32−1+i32−1−i32−1−i323+i32−3−i323+i32−3−i32−3+i323−i32−3+i323−i320000000000000000
χ392222-1-2-2-1-1-1−1+i3−1−i300−1+i3−1−i3−1+i3−1−i3−1+i3−1−i3i3−i3i3−i311-2-22200001−i321+i321−i321+i321−i321+i321−i321+i321−i31+i31−i31+i3000011-1-1i3−i3i3−i30000−1+i32−1+i32−1−i32−1−i32−3−i323+i32−3−i323+i323−i32−3+i323−i32−3+i320000000000000000
χ4022-2-222-2-22-22200-2-222-2-20000-22-222-2000022-2-222-2-222-2-20000-222-200000000-22-22000000000000000000000000
χ4122-2-222-2-22-2−1−i3−1+i3001+i31−i3−1−i3−1+i31+i31−i30000-22-222-20000−1−i3−1+i31+i31−i3−1−i3−1+i31+i31−i3−1−i3−1+i31+i31−i30000-222-2000000001+i3−1−i31−i3−1+i3000000000000000000000000
χ4222-2-222-2-22-2−1+i3−1−i3001−i31+i3−1+i3−1−i31−i31+i30000-22-222-20000−1+i3−1−i31−i31+i3−1+i3−1−i31−i31+i3−1+i3−1−i31−i31+i30000-222-2000000001−i3−1+i31+i3−1−i3000000000000000000000000
χ4322-2-2-12-21-112200-2-222-2-23−3−331-1-222-20000-1-111-1-11122-2-200001-1-113−3−3300001-11-13−3−333−3−330000000000000000
χ4422-2-2-12-21-112200-2-222-2-2−333−31-1-222-20000-1-111-1-11122-2-200001-1-11−333−300001-11-1−333−3−333−30000000000000000
χ4522-2-2-12-21-11−1−i3−1+i3001+i31−i3−1−i3−1+i31+i31−i33−3−331-1-222-200001+i321−i32−1−i32−1+i321+i321−i32−1−i32−1+i32−1−i3−1+i31+i31−i300001-1-113−3−330000−1−i321+i32−1+i321−i322ζ14+ζ22−2ζ14−ζ22−2ζ14−ζ222ζ14+ζ22−ζ14−2ζ22ζ14+2ζ22ζ14+2ζ22−ζ14−2ζ220000000000000000
χ4622-2-2-12-21-11−1−i3−1+i3001+i31−i3−1−i3−1+i31+i31−i3−333−31-1-222-200001+i321−i32−1−i32−1+i321+i321−i32−1−i32−1+i32−1−i3−1+i31+i31−i300001-1-11−333−30000−1−i321+i32−1+i321−i32−2ζ14−ζ222ζ14+ζ222ζ14+ζ22−2ζ14−ζ22ζ14+2ζ22−ζ14−2ζ22−ζ14−2ζ22ζ14+2ζ220000000000000000
χ4722-2-2-12-21-11−1+i3−1−i3001−i31+i3−1+i3−1−i31−i31+i33−3−331-1-222-200001−i321+i32−1+i32−1−i321−i321+i32−1+i32−1−i32−1+i3−1−i31−i31+i300001-1-113−3−330000−1+i321−i32−1−i321+i32−ζ14−2ζ22ζ14+2ζ22ζ14+2ζ22−ζ14−2ζ222ζ14+ζ22−2ζ14−ζ22−2ζ14−ζ222ζ14+ζ220000000000000000
χ4822-2-2-12-21-11−1+i3−1−i3001−i31+i3−1+i3−1−i31−i31+i3−333−31-1-222-200001−i321+i32−1+i32−1−i321−i321+i32−1+i32−1−i32−1+i3−1−i31−i31+i300001-1-11−333−30000−1+i321−i32−1−i321+i32ζ14+2ζ22−ζ14−2ζ22−ζ14−2ζ22ζ14+2ζ22−2ζ14−ζ222ζ14+ζ222ζ14+ζ22−2ζ14−ζ220000000000000000
χ4922-2-2-1-221-11222i−2i-2-222-2-2−i−iii-112-22-20000-1-111-1-111-2-222002i−2i-11-11−i−iii2i−2i2i−2i-11-11−i−iii−i−iii0000000000000000
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Here ζ is a primitive root of unity of order 24 (ζ24 = 1); i = ζ6.