Finite Group Databasebeta

← Group #11796713

Character table — Group #11796713

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90
size111122222222222222444444444444444488888888121212121212121212121212121212121212121212121212161616161616161618181818242424243636484848487272
order12223344666666888836661212121224242424242424244412122424242416161616161616164848484848484848484848484848484812121212121212122244222288666644
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-1-111-1-1-1-1
χ3111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-111-1-1-1-111-1-1
χ4111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-111-1-1-1-111
χ51111111111111111111111111111111111-1-1111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-1
χ61111111111111111111111111111111111-1-11111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111
χ71111111111111111111111111111111111-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-111
χ81111111111111111111111111111111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1
χ91-11-111-11-1-111-1-111-1-11-11-1-1-1111111-1-1-1-1i−i-1111-1-1ii−i−iii−i−iiiii−i−i−i−iiiii−i−i−i−iii−i−iii−i−i1-11-11-11-11-11-11-1i−i
χ101-11-111-11-1-111-1-111-1-11-11-1-1-1111111-1-1-1-1i−i-1111-1-1ii−i−i−i−iiiiiii−i−i−i−i−i−i−i−iiiiiii−i−iii−i−i-11-111-1-11-111-1-11−ii
χ111-11-111-11-1-111-1-111-1-11-11-1-1-1111111-1-1-1-1i−i-1111-1-1−i−iiiii−i−i−i−i−i−iiiiiiiii−i−i−i−iii−i−iii−i−i-11-11-111-1-11-111-1−ii
χ121-11-111-11-1-111-1-111-1-11-11-1-1-1111111-1-1-1-1i−i-1111-1-1−i−iii−i−iii−i−i−i−iiiii−i−i−i−iiiiiii−i−iii−i−i1-11-1-11-111-1-11-11i−i
χ131-11-111-11-1-111-1-111-1-11-11-1-1-1111111-1-1-1-1−ii-1111-1-1ii−i−iii−i−iiiii−i−i−i−iiiii−i−i−i−i−i−iii−i−iii1-11-1-11-111-1-11-11−ii
χ141-11-111-11-1-111-1-111-1-11-11-1-1-1111111-1-1-1-1−ii-1111-1-1ii−i−i−i−iiiiiii−i−i−i−i−i−i−i−iiiii−i−iii−i−iii-11-11-111-1-11-111-1i−i
χ151-11-111-11-1-111-1-111-1-11-11-1-1-1111111-1-1-1-1−ii-1111-1-1−i−iiiii−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−iii−i−iii-11-111-1-11-111-1-11i−i
χ161-11-111-11-1-111-1-111-1-11-11-1-1-1111111-1-1-1-1−ii-1111-1-1−i−iii−i−iii−i−i−i−iiiii−i−i−i−iiiii−i−iii−i−iii1-11-11-11-11-11-11-1−ii
χ1722222222222222-2-2-2-222222222-2-2-2-2-2-2-2-20022-2-2-2-20000000000000000000000000000000022220000-2-2000000
χ1822222222222222-2-2-2-222222222-2-2-2-2-2-2-2-20022-2-2-2-200000000000000000000000000000000-2-2-2-2000022000000
χ19222222-2-222222200002222-2-2-2-20000000000-2-200002−22−22−22−222−2−222−2−222−2−222−2−20000000022-2-2000000000000
χ20222222-2-222222200002222-2-2-2-20000000000-2-200002−22−2−22−2222−2−222−2−2−2−222−2−22200000000-2-222000000000000
χ21222222-2-222222200002222-2-2-2-20000000000-2-20000−22−222−22−2−2−222−2−22222−2−222−2−200000000-2-222000000000000
χ22222222-2-222222200002222-2-2-2-20000000000-2-20000−22−22−22−22−2−222−2−222−2−222−2−2220000000022-2-2000000000000
χ2322222-1222-12-12-12222-1-1-1-12-12-122-1-122-1-122-1-1-1-1-1-10000222200000000-1-1-1-1-1-1-1-12-12-1-1-1-1-1000000220000-1-100
χ2422222-1222-12-12-12222-1-1-1-12-12-122-1-122-1-122-1-1-1-1-1-10000-2-2-2-200000000111111112-12-1-1-1-1-1000000-2-200001100
χ2522222-1222-12-12-12222-1-1-1-12-12-122-1-122-1-1-2-2-1-1-1-1-1-10000222200000000-1-1-1-1-1-1-1-1-21-211111000000-2-200001100
χ2622222-1222-12-12-12222-1-1-1-12-12-122-1-122-1-1-2-2-1-1-1-1-1-10000-2-2-2-20000000011111111-21-211111000000220000-1-100
χ272222-1222-12-12-122222-1-1-1-1-12-12-1-122-1-12222-1-1-1-1-1-122220000-1-1-1-1-1-1-1-100000000-12-12-1-1-1-10000220000-1-10000
χ282222-1222-12-12-122222-1-1-1-1-12-12-1-122-1-12222-1-1-1-1-1-1-2-2-2-200001111111100000000-12-12-1-1-1-10000-2-20000110000
χ292222-1222-12-12-122222-1-1-1-1-12-12-1-122-1-122-2-2-1-1-1-1-1-122220000-1-1-1-1-1-1-1-1000000001-21-211110000-2-20000110000
χ302222-1222-12-12-122222-1-1-1-1-12-12-1-122-1-122-2-2-1-1-1-1-1-1-2-2-2-2000011111111000000001-21-211110000220000-1-10000
χ312-22-2222-2-2-222-2-200002-22-222-2-200000000002-20000−i2i2i2−i2−i2i2i2−i2−i2−i2i2i2i2i2−i2−i2−i2−i2i2i2i2i2−i2−i2000000002-2-22000000000000
χ322-22-2222-2-2-222-2-200002-22-222-2-200000000002-20000−i2i2i2−i2i2−i2−i2i2−i2−i2i2i2i2i2−i2−i2i2i2−i2−i2−i2−i2i2i200000000-222-2000000000000
χ332-22-2222-2-2-222-2-200002-22-222-2-200000000002-20000i2−i2−i2i2−i2i2i2−i2i2i2−i2−i2−i2−i2i2i2−i2−i2i2i2i2i2−i2−i200000000-222-2000000000000
χ342-22-2222-2-2-222-2-200002-22-222-2-200000000002-20000i2−i2−i2i2i2−i2−i2i2i2i2−i2−i2−i2−i2i2i2i2i2−i2−i2−i2−i2i2i2000000002-2-22000000000000
χ352-22-222-22-2-222-2-2-2-2222-22-2-2-222-2-2-2-2222200-22-2-222000000000000000000000000000000002-22-20000-22000000
χ362-22-222-22-2-222-2-2-2-2222-22-2-2-222-2-2-2-2222200-22-2-22200000000000000000000000000000000-22-2200002-2000000
χ372-22-22-1-22-212-1-2122-2-2-11-11-212-122-1-1-2-2112i−2i1-1-1-11100002i2i−2i−2i00000000−i−i−i−iiiii2i−i−2ii−i−iii0000002-20000-1100
χ382-22-22-1-22-212-1-2122-2-2-11-11-212-122-1-1-2-2112i−2i1-1-1-1110000−2i−2i2i2i00000000iiii−i−i−i−i2i−i−2ii−i−iii000000-2200001-100
χ392-22-22-1-22-212-1-2122-2-2-11-11-212-122-1-1-2-211−2i2i1-1-1-11100002i2i−2i−2i00000000−i−i−i−iiiii−2ii2i−iii−i−i000000-2200001-100
χ402-22-22-1-22-212-1-2122-2-2-11-11-212-122-1-1-2-211−2i2i1-1-1-1110000−2i−2i2i2i00000000iiii−i−i−i−i−2ii2i−iii−i−i0000002-20000-1100
χ412-22-2-12-221-2-121-222-2-2-11-111-2-12-1-12211-2-22i−2i1-1-1-1112i2i−2i−2i0000−i−i−i−iiiii00000000−i2ii−2i−i−iii00002-20000-110000
χ422-22-2-12-221-2-121-222-2-2-11-111-2-12-1-12211-2-22i−2i1-1-1-111−2i−2i2i2i0000iiii−i−i−i−i00000000−i2ii−2i−i−iii0000-2200001-10000
χ432-22-2-12-221-2-121-222-2-2-11-111-2-12-1-12211-2-2−2i2i1-1-1-1112i2i−2i−2i0000−i−i−i−iiiii00000000i−2i−i2iii−i−i0000-2200001-10000
χ442-22-2-12-221-2-121-222-2-2-11-111-2-12-1-12211-2-2−2i2i1-1-1-111−2i−2i2i2i0000iiii−i−i−i−i00000000i−2i−i2iii−i−i00002-20000-110000
χ4544444-2444-24-24-2-4-4-4-4-2-2-2-24-24-2-4-422-4-42200-2-22222000000000000000000000000000000000000000000000000
χ4644444-2-4-44-24-24-20000-2-2-2-2-42-420000000000220000000022−2222−2200000000−2−222−2−222000000000000000000000000
χ4744444-2-4-44-24-24-20000-2-2-2-2-42-4200000000002200000000−2222−22220000000022−2−222−2−2000000000000000000000000
χ484444-2444-24-24-24-4-4-4-4-2-2-2-2-24-2422-4-422-4-400-2-22222000000000000000000000000000000000000000000000000
χ494444-24-4-4-24-24-240000-2-2-2-22-42-4000000000022000022−2222−220000−2−222−2−22200000000000000000000000000000000
χ504444-24-4-4-24-24-240000-2-2-2-22-42-40000000000220000−2222−2222000022−2−222−2−200000000000000000000000000000000
χ514444-2-244-2-2-2-2-2-244441111-2-2-2-2-2-2-2-2-2-2-2-244111111000000000000000000000000-2-2-2-211110000000000000000
χ524444-2-244-2-2-2-2-2-244441111-2-2-2-2-2-2-2-2-2-2-2-2-4-41111110000000000000000000000002222-1-1-1-10000000000000000
χ534444-2-244-2-2-2-2-2-2-4-4-4-41111-2-2-2-2222222220011-1-1-1-100000000000000000000000000003-33-30000000000000000
χ544444-2-244-2-2-2-2-2-2-4-4-4-41111-2-2-2-2222222220011-1-1-1-10000000000000000000000000000-33-330000000000000000
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χ5644-4-44400-4-4-4-444−2222−22224-4-440000−2222−2222−2222−22220000−2222−2222000000000000000000000000000000000000000000000000
χ5744-4-44-200-42-424-222−2222−22-222-2000022−22−2222−22−220000−22−220000000000000000−ζ25+ζ31+ζ41−ζ47ζ25−ζ31−ζ41+ζ47−ζ11−ζ13+ζ29+ζ43ζ11+ζ13−ζ29−ζ43−ζ25+ζ31+ζ41−ζ47ζ25−ζ31−ζ41+ζ47−ζ11−ζ13+ζ29+ζ43ζ11+ζ13−ζ29−ζ43000000000000000000000000
χ5844-4-44-200-42-424-222−2222−22-222-2000022−22−2222−22−220000−22−220000000000000000ζ25−ζ31−ζ41+ζ47−ζ25+ζ31+ζ41−ζ47ζ11+ζ13−ζ29−ζ43−ζ11−ζ13+ζ29+ζ43ζ25−ζ31−ζ41+ζ47−ζ25+ζ31+ζ41−ζ47ζ11+ζ13−ζ29−ζ43−ζ11−ζ13+ζ29+ζ43000000000000000000000000
χ5944-4-44-200-42-424-2−2222−2222-222-20000−22222−2−22222−200002−22−20000000000000000−ζ11−ζ13+ζ29+ζ43ζ11+ζ13−ζ29−ζ43ζ25−ζ31−ζ41+ζ47−ζ25+ζ31+ζ41−ζ47−ζ11−ζ13+ζ29+ζ43ζ11+ζ13−ζ29−ζ43ζ25−ζ31−ζ41+ζ47−ζ25+ζ31+ζ41−ζ47000000000000000000000000
χ6044-4-44-200-42-424-2−2222−2222-222-20000−22222−2−22222−200002−22−20000000000000000ζ11+ζ13−ζ29−ζ43−ζ11−ζ13+ζ29+ζ43−ζ25+ζ31+ζ41−ζ47ζ25−ζ31−ζ41+ζ47ζ11+ζ13−ζ29−ζ43−ζ11−ζ13+ζ29+ζ43−ζ25+ζ31+ζ41−ζ47ζ25−ζ31−ζ41+ζ47000000000000000000000000
χ6144-4-4-24002-42-4-2422−2222−22-222-20000−2222−22−2222−220000−22−2200000000−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+ζ4700000000000000000000000000000000
χ6244-4-4-24002-42-4-2422−2222−22-222-20000−2222−22−2222−220000−22−2200000000ζ11+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−ζ4700000000000000000000000000000000
χ6344-4-4-24002-42-4-24−2222−2222-222-200002−2−22222−2−222200002−22−200000000−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+ζ4300000000000000000000000000000000
χ6444-4-4-24002-42-4-24−2222−2222-222-200002−2−22222−2−222200002−22−200000000ζ25−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−ζ4300000000000000000000000000000000
χ654-44-44-24-4-424-2-420000-22-224-2-420000000000-2200000000−2i22i22i2−2i200000000i2i2−i2−i2−i2−i2i2i2000000000000000000000000
χ664-44-44-24-4-424-2-420000-22-224-2-420000000000-22000000002i2−2i2−2i22i200000000−i2−i2i2i2i2i2−i2−i2000000000000000000000000
χ674-44-44-2-44-424-2-42-4-444-22-22-424-2-4-42244-2-2002-222-2-2000000000000000000000000000000000000000000000000
χ684-44-4-244-42-4-242-40000-22-22-242-40000000000-220000−2i22i22i2−2i20000i2i2−i2−i2−i2−i2i2i200000000000000000000000000000000
χ694-44-4-244-42-4-242-40000-22-22-242-40000000000-2200002i2−2i2−2i22i20000−i2−i2i2i2i2i2−i2−i200000000000000000000000000000000
χ704-44-4-24-442-4-242-4-4-444-22-222-4-2422-4-4-2-244002-222-2-2000000000000000000000000000000000000000000000000
χ714-44-4-2-2-4422-2-22244-4-41-11-122-2-2-2-2-2-222224i−4i-1111-1-1000000000000000000000000−2i−2i2i2iii−i−i0000000000000000
χ724-44-4-2-2-4422-2-22244-4-41-11-122-2-2-2-2-2-22222−4i4i-1111-1-10000000000000000000000002i2i−2i−2i−i−iii0000000000000000
χ734-44-4-2-2-4422-2-222-4-4441-11-122-2-22222-2-2-2-200-11-1-11100000000000000000000000000003i−3i−3i3i0000000000000000
χ744-44-4-2-2-4422-2-222-4-4441-11-122-2-22222-2-2-2-200-11-1-1110000000000000000000000000000−3i3i3i−3i0000000000000000
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χ784-4-444-2004-2-42-4222−22−2222-2-222000022−22−22−22222−20000−222−20000000000000000ζ11−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−ζ47000000000000000000000000
χ794-4-444-2004-2-42-42−222222−22-2-2220000−22222−222−22−2200002−2−220000000000000000−ζ25−ζ31+ζ41+ζ47ζ25+ζ31−ζ41−ζ47ζ11−ζ13+ζ29−ζ43−ζ11+ζ13−ζ29+ζ43ζ25+ζ31−ζ41−ζ47−ζ25−ζ31+ζ41+ζ47−ζ11+ζ13−ζ29+ζ43ζ11−ζ13+ζ29−ζ43000000000000000000000000
χ804-4-444-2004-2-42-42−222222−22-2-2220000−22222−222−22−2200002−2−220000000000000000ζ25+ζ31−ζ41−ζ47−ζ25−ζ31+ζ41+ζ47−ζ11+ζ13−ζ29+ζ43ζ11−ζ13+ζ29−ζ43−ζ25−ζ31+ζ41+ζ47ζ25+ζ31−ζ41−ζ47ζ11−ζ13+ζ29−ζ43−ζ11+ζ13−ζ29+ζ43000000000000000000000000
χ814-4-44-2400-242-42-422−22−2222-2-2220000−2222−222−2−22220000−222−200000000−ζ25−ζ31+ζ41+ζ47ζ25+ζ31−ζ41−ζ47−ζ11+ζ13−ζ29+ζ43ζ11−ζ13+ζ29−ζ43ζ25+ζ31−ζ41−ζ47−ζ25−ζ31+ζ41+ζ47ζ11−ζ13+ζ29−ζ43−ζ11+ζ13−ζ29+ζ4300000000000000000000000000000000
χ824-4-44-2400-242-42-422−22−2222-2-2220000−2222−222−2−22220000−222−200000000ζ25+ζ31−ζ41−ζ47−ζ25−ζ31+ζ41+ζ47ζ11−ζ13+ζ29−ζ43−ζ11+ζ13−ζ29+ζ43−ζ25−ζ31+ζ41+ζ47ζ25+ζ31−ζ41−ζ47−ζ11+ζ13−ζ29+ζ43ζ11−ζ13+ζ29−ζ4300000000000000000000000000000000
χ834-4-44-2400-242-42-4−222222−22-2-22200002−2−2222−2222−2200002−2−2200000000−ζ11+ζ13−ζ29+ζ43ζ11−ζ13+ζ29−ζ43ζ25+ζ31−ζ41−ζ47−ζ25−ζ31+ζ41+ζ47ζ11−ζ13+ζ29−ζ43−ζ11+ζ13−ζ29+ζ43−ζ25−ζ31+ζ41+ζ47ζ25+ζ31−ζ41−ζ4700000000000000000000000000000000
χ844-4-44-2400-242-42-4−222222−22-2-22200002−2−2222−2222−2200002−2−2200000000ζ11−ζ13+ζ29−ζ43−ζ11+ζ13−ζ29+ζ43−ζ25−ζ31+ζ41+ζ47ζ25+ζ31−ζ41−ζ47−ζ11+ζ13−ζ29+ζ43ζ11−ζ13+ζ29−ζ43ζ25+ζ31−ζ41−ζ47−ζ25−ζ31+ζ41+ζ4700000000000000000000000000000000
χ858888-4-4-8-8-4-4-4-4-4-40000222244440000000000-2-20000000000000000000000000000000000000000000000000000
χ8688-8-8-4-4004444-4-442−4242−422-2-220000−2222−2222−2222−222200002−22−2000000000000000000000000000000000000000000000000
χ8788-8-8-4-4004444-4-4−4242−42422-2-22000022−2222−2222−2222−220000−22−22000000000000000000000000000000000000000000000000
χ888-88-8-4-48-844-4-44400002-22-2-4-44400000000002-20000000000000000000000000000000000000000000000000000
χ898-8-88-4-400-4-4444442−42−424222-2-20000−2222−222222−2222−2200002−2−22000000000000000000000000000000000000000000000000
χ908-8-88-4-400-4-44444−424242−4222-2-2000022−2222−22−2222−22220000−222−2000000000000000000000000000000000000000000000000

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