Finite Group Databasebeta

← Group #11797761

Character table — Group #11797761

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96
size111122222222222222444444444444444466666666888888888888121212121212121212121212121212121212121216161616161624242424242424243636363648487272
order12223344666666888836661212121224242424242424244444121212124412121212121224242424881212161616162424242448484848484848481212121212122244666616161616121244
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111-1-1-1-1-1-111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1
χ4111111111111111111111111111111111111111111-1-1-1-1-1-11111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111
χ51111111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-11111-1-1-1-111111111111111-1-111-1-1-1-1-1-1-1-111-1-1
χ61111111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-111
χ71111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-111-1-11111-1-1-1-1-1-111
χ81111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1
χ91-11-1111-1-11-1-1-11-1-1111-11-1-111-11111-1-1-1-1i−ii−iii−i−ii−iii−i−i-1111-1-1i−ii−iii−i−iii−i−iiiii−i−i−i−ii−iii−i−i1-11-111-1-111-1-11-1i−i
χ101-11-1111-1-11-1-1-11-1-1111-11-1-111-11111-1-1-1-1i−ii−iii−i−ii−iii−i−i-1111-1-1i−ii−i−i−iiiii−i−i−i−i−i−iiiiii−iii−i−i1-1-1111-1-1-1-111-11−ii
χ111-11-1111-1-11-1-1-11-1-1111-11-1-111-11111-1-1-1-1i−ii−iii−i−i−ii−i−iii-1111-1-1i−ii−iii−i−iii−i−iiiii−i−i−i−i−ii−i−iii-11-11-1-11111-1-1-11−ii
χ121-11-1111-1-11-1-1-11-1-1111-11-1-111-11111-1-1-1-1i−ii−iii−i−i−ii−i−iii-1111-1-1i−ii−i−i−iiiii−i−i−i−i−i−iiiii−ii−i−iii-111-1-1-111-1-1111-1i−i
χ131-11-1111-1-11-1-1-11-1-1111-11-1-111-11111-1-1-1-1−ii−ii−i−iiii−iii−i−i-1111-1-1−ii−iiii−i−i−i−iiiiiii−i−i−i−ii−iii−i−i-111-1-1-111-1-1111-1−ii
χ141-11-1111-1-11-1-1-11-1-1111-11-1-111-11111-1-1-1-1−ii−ii−i−iiii−iii−i−i-1111-1-1−ii−ii−i−iii−i−iii−i−i−i−iiiiii−iii−i−i-11-11-1-11111-1-1-11i−i
χ151-11-1111-1-11-1-1-11-1-1111-11-1-111-11111-1-1-1-1−ii−ii−i−iii−ii−i−iii-1111-1-1−ii−iiii−i−i−i−iiiiiii−i−i−i−i−ii−i−iii1-1-1111-1-1-1-111-11i−i
χ161-11-1111-1-11-1-1-11-1-1111-11-1-111-11111-1-1-1-1−ii−ii−i−iii−ii−i−iii-1111-1-1−ii−ii−i−iii−i−iii−i−i−i−iiiii−ii−i−iii1-11-111-1-111-1-11-1−ii
χ1722222222222222-2-2-2-222222222-2-2-2-2-2-2-2-22222222200000022-2-2-2-2-2-2220000-2-2-2-2000000000000000000000000000000
χ1822222222222222-2-2-2-222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-200000022-2-2-2-222-2-200002222000000000000000000000000000000
χ19222222-2-222222200002222-2-2-2-20000000022-2-2-2-2-2-2000000-2-2000000222−22−2000022−2−222−2−2000000000000002−22−20000
χ20222222-2-222222200002222-2-2-2-20000000022-2-2-2-2-2-2000000-2-200000022−22−220000−2−222−2−22200000000000000−22−220000
χ21222222-2-222222200002222-2-2-2-200000000-2-2222222000000-2-2000000-2-22−22−2000022−2−222−2−200000000000000−22−220000
χ22222222-2-222222200002222-2-2-2-200000000-2-2222222000000-2-2000000-2-2−22−220000−2−222−2−222000000000000002−22−20000
χ2322222-1222-1-12-122222-1-1-1-12-12-122-1-1-1-1222222-1-1-1-122-1-1-1-1-1-1-1-1-1-122-1-10000-1-1-1-10000000022-1-1-1-12200-1-1-1-100000000
χ2422222-1222-1-12-122222-1-1-1-12-12-122-1-1-1-1222222-1-1-1-1-2-21111-1-1-1-1-1-122-1-10000-1-1-1-100000000-2-21111-2-200111100000000
χ2522222-1222-1-12-122222-1-1-1-12-12-122-1-1-1-122-2-2-2-2111122-1-1-1-1-1-1-1-1-1-1-2-211000011110000000022-1-1-1-1-2-200111100000000
χ2622222-1222-1-12-122222-1-1-1-12-12-122-1-1-1-122-2-2-2-21111-2-21111-1-1-1-1-1-1-2-2110000111100000000-2-211112200-1-1-1-100000000
χ2722222-1222-1-12-12-2-2-2-2-1-1-1-12-12-1-2-21111-2-22222-1-1-1-100−i3i3−i3i3-1-11111-2-2-1-1000011110000000000−i3i3−i3i30000−i3i3−i3i300000000
χ2822222-1222-1-12-12-2-2-2-2-1-1-1-12-12-1-2-21111-2-22222-1-1-1-100i3−i3i3−i3-1-11111-2-2-1-1000011110000000000i3−i3i3−i30000i3−i3i3−i300000000
χ2922222-1222-1-12-12-2-2-2-2-1-1-1-12-12-1-2-21111-2-2-2-2-2-2111100−i3i3−i3i3-1-1111122110000-1-1-1-10000000000−i3i3−i3i30000i3−i3i3−i300000000
χ3022222-1222-1-12-12-2-2-2-2-1-1-1-12-12-1-2-21111-2-2-2-2-2-2111100i3−i3i3−i3-1-1111122110000-1-1-1-10000000000i3−i3i3−i30000−i3i3−i3i300000000
χ312222-1222-122-12-12222-1-1-1-1-12-12-1-12222-1-100000000222222-1-1-1-1-1-1000022220000-1-1-1-1-1-1-1-1-1-1-1-1-1-1002200000000-1-100
χ322222-1222-122-12-12222-1-1-1-1-12-12-1-12222-1-100000000222222-1-1-1-1-1-10000-2-2-2-2000011111111-1-1-1-1-1-100-2-2000000001100
χ332222-1222-122-12-12222-1-1-1-1-12-12-1-12222-1-100000000-2-2-2-2-2-2-1-1-1-1-1-1000022220000-1-1-1-1-1-1-1-111111100-2-2000000001100
χ342222-1222-122-12-12222-1-1-1-1-12-12-1-12222-1-100000000-2-2-2-2-2-2-1-1-1-1-1-10000-2-2-2-2000011111111111111002200000000-1-100
χ352-22-2222-2-22-2-2-2222-2-22-22-2-222-2-2-2-2-222222i−2i2i−2i2i2i−2i−2i000000-22-2-222−2i2i2i−2i0000−2i−2i2i2i000000000000000000000000000000
χ362-22-2222-2-22-2-2-2222-2-22-22-2-222-2-2-2-2-22222−2i2i−2i2i−2i−2i2i2i000000-22-2-2222i−2i−2i2i00002i2i−2i−2i000000000000000000000000000000
χ372-22-222-22-22-2-2-2200002-22-22-2-22000000002i−2i−2i2i−2i−2i2i2i0000002-20000002i−2i−i2i2i2−i20000−i2−i2i2i2i2i2−i2−i200000000000000−222−20000
χ382-22-222-22-22-2-2-2200002-22-22-2-22000000002i−2i−2i2i−2i−2i2i2i0000002-20000002i−2ii2−i2−i2i20000i2i2−i2−i2−i2−i2i2i2000000000000002−2−220000
χ392-22-222-22-22-2-2-2200002-22-22-2-2200000000−2i2i2i−2i2i2i−2i−2i0000002-2000000−2i2i−i2i2i2−i20000−i2−i2i2i2i2i2−i2−i2000000000000002−2−220000
χ402-22-222-22-22-2-2-2200002-22-22-2-2200000000−2i2i2i−2i2i2i−2i−2i0000002-2000000−2i2ii2−i2−i2i20000i2i2−i2−i2−i2−i2i2i200000000000000−222−20000
χ412-22-22-12-2-2-11-21222-2-2-11-11-2-121-2-211-1-1222i−2i2i−2i−i−iii003−3−331-111-1-1−2i2i−ii0000ii−i−i00000000003−3−330000−i3i3i3−i300000000
χ422-22-22-12-2-2-11-21222-2-2-11-11-2-121-2-211-1-1222i−2i2i−2i−i−iii00−333−31-111-1-1−2i2i−ii0000ii−i−i0000000000−333−30000i3−i3−i3i300000000
χ432-22-22-12-2-2-11-21222-2-2-11-11-2-121-2-211-1-122−2i2i−2i2iii−i−i003−3−331-111-1-12i−2ii−i0000−i−iii00000000003−3−330000i3−i3−i3i300000000
χ442-22-22-12-2-2-11-21222-2-2-11-11-2-121-2-211-1-122−2i2i−2i2iii−i−i00−333−31-111-1-12i−2ii−i0000−i−iii0000000000−333−30000−i3i3i3−i300000000
χ452-22-22-12-2-2-11-212-2-222-11-11-2-12122-1-111-2-22i−2i2i−2i−i−iii2i−2i−i−iii1-1-1-1112i−2i−ii0000−i−iii000000002i−2i−i−iii2-200-1-11100000000
χ462-22-22-12-2-2-11-212-2-222-11-11-2-12122-1-111-2-22i−2i2i−2i−i−iii−2i2iii−i−i1-1-1-1112i−2i−ii0000−i−iii00000000−2i2iii−i−i-220011-1-100000000
χ472-22-22-12-2-2-11-212-2-222-11-11-2-12122-1-111-2-2−2i2i−2i2iii−i−i2i−2i−i−iii1-1-1-111−2i2ii−i0000ii−i−i000000002i−2i−i−iii-220011-1-100000000
χ482-22-22-12-2-2-11-212-2-222-11-11-2-12122-1-111-2-2−2i2i−2i2iii−i−i−2i2iii−i−i1-1-1-111−2i2ii−i0000ii−i−i00000000−2i2iii−i−i2-200-1-11100000000
χ492-22-2-122-212-21-2-1-2-222-11-1112-1-2-1-122-2-211000000002i−2i2i2i−2i−2i1-1-1-11100002i2i−2i−2i0000−i−i−i−iiiii−ii−i−iii002-200000000-1100
χ502-22-2-122-212-21-2-1-2-222-11-1112-1-2-1-122-2-211000000002i−2i2i2i−2i−2i1-1-1-1110000−2i−2i2i2i0000iiii−i−i−i−i−ii−i−iii00-22000000001-100
χ512-22-2-122-212-21-2-1-2-222-11-1112-1-2-1-122-2-21100000000−2i2i−2i−2i2i2i1-1-1-11100002i2i−2i−2i0000−i−i−i−iiiiii−iii−i−i00-22000000001-100
χ522-22-2-122-212-21-2-1-2-222-11-1112-1-2-1-122-2-21100000000−2i2i−2i−2i2i2i1-1-1-1110000−2i−2i2i2i0000iiii−i−i−i−ii−iii−i−i002-200000000-1100
χ5344444-2-4-44-2-24-240000-2-2-2-2-42-420000000044-4-4222200000022000000-2-200000000000000000000000000000000000000
χ5444444-2-4-44-2-24-240000-2-2-2-2-42-4200000000-4-444-2-2-2-2000000220000002200000000000000000000000000000000000000
χ554444-2444-244-24-2-4-4-4-4-2-2-2-2-24-2422-4-4-4-42200000000000000-2-22222000000000000000000000000000000000000000000
χ564444-24-4-4-244-24-20000-2-2-2-22-42-40000000000000000000000220000000022−2222−220000−2−222−2−2220000000000000000000000
χ574444-24-4-4-244-24-20000-2-2-2-22-42-400000000000000000000002200000000−2222−2222000022−2−222−2−20000000000000000000000
χ584444-2-244-2-2-2-2-2-244441111-2-2-2-2-2-2-2-2-2-2-2-20000000044-2-2-2-211111100000000000000000000-2-211110000000000000000
χ594444-2-244-2-2-2-2-2-244441111-2-2-2-2-2-2-2-2-2-2-2-200000000-4-422221111110000000000000000000022-1-1-1-10000000000000000
χ604444-2-244-2-2-2-2-2-2-4-4-4-41111-2-2-2-2222222220000000000−2i32i3−2i32i311-1-1-1-10000000000000000000000i3−i3i3−i30000000000000000
χ614444-2-244-2-2-2-2-2-2-4-4-4-41111-2-2-2-22222222200000000002i3−2i32i3−2i311-1-1-1-10000000000000000000000−i3i3−i3i30000000000000000
χ6244-4-444004-44-4-4-422−2222−2244-4-4000022−2222−2222−2222−22000000000000000022−2222−22000000000000000000000000000000000000000000
χ6344-4-444004-44-4-4-4−2222−222244-4-40000−2222−2222−2222−22220000000000000000−2222−2222000000000000000000000000000000000000000000
χ6444-4-44-20042-2-42-422−2222−22-2-222000022−22−22−2222−22000023−2323−2300000000−22−22000000006−66−6000000000000000000000000000000
χ6544-4-44-20042-2-42-422−2222−22-2-222000022−22−22−2222−220000−2323−232300000000−22−2200000000−66−66000000000000000000000000000000
χ6644-4-44-20042-2-42-4−2222−2222-2-2220000−22222−22−2−2222000023−2323−23000000002−22−200000000−66−66000000000000000000000000000000
χ6744-4-44-20042-2-42-4−2222−2222-2-2220000−22222−22−2−22220000−2323−2323000000002−22−2000000006−66−6000000000000000000000000000000
χ6844-4-4-2400-2-442-4222−2222−22-2-2220000−2222−2222−22−220000000000000000−22−22000000000000−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+ζ470000000000000000000000
χ6944-4-4-2400-2-442-4222−2222−22-2-2220000−2222−2222−22−220000000000000000−22−22000000000000ζ11+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−ζ470000000000000000000000
χ7044-4-4-2400-2-442-42−2222−2222-2-22200002−2−2222−22222−200000000000000002−22−2000000000000−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+ζ430000000000000000000000
χ7144-4-4-2400-2-442-42−2222−2222-2-22200002−2−2222−22222−200000000000000002−22−2000000000000ζ25−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−ζ430000000000000000000000
χ724-44-44-2-44-4-22-4240000-22-2242-4-2000000004i−4i−4i4i2i2i−2i−2i000000-22000000−2i2i00000000000000000000000000000000000000
χ734-44-44-2-44-4-22-4240000-22-2242-4-200000000−4i4i4i−4i−2i−2i2i2i000000-220000002i−2i00000000000000000000000000000000000000
χ744-44-4-244-424-42-4-244-4-4-22-2224-2-422-4-444-2-2000000000000002-222-2-2000000000000000000000000000000000000000000
χ754-44-4-24-4424-42-4-20000-22-22-2-4240000000000000000000000-2200000000−2i22i22i2−2i20000i2i2−i2−i2−i2−i2i2i20000000000000000000000
χ764-44-4-24-4424-42-4-20000-22-22-2-4240000000000000000000000-22000000002i2−2i2−2i22i20000−i2−i2i2i2i2i2−i2−i20000000000000000000000
χ774-44-4-2-24-42-2222-244-4-41-11-12-2-222222-2-2-2-2000000000023−23−2323-11-1-1110000000000000000000000−333−30000000000000000
χ784-44-4-2-24-42-2222-244-4-41-11-12-2-222222-2-2-2-20000000000−232323−23-11-1-11100000000000000000000003−3−330000000000000000
χ794-44-4-2-24-42-2222-2-4-4441-11-12-2-22-2-2-2-22222000000004i−4i−2i−2i2i2i-1111-1-100000000000000000000−2i2iii−i−i0000000000000000
χ804-44-4-2-24-42-2222-2-4-4441-11-12-2-22-2-2-2-2222200000000−4i4i2i2i−2i−2i-1111-1-1000000000000000000002i−2i−i−iii0000000000000000
χ814-4-444400-4-4-444-422−22−22224-4-440000−2222−222222−2222−220000000000000000−222222−22000000000000000000000000000000000000000000
χ824-4-444400-4-4-444-4−222222−224-4-44000022−2222−22−2222−2222000000000000000022−22−2222000000000000000000000000000000000000000000
χ834-4-444-200-4224-2-422−22−2222-222-20000−22222−2−2222−220000−2i32i32i3−2i3000000002−2−2200000000i6−i6−i6i6000000000000000000000000000000
χ844-4-444-200-4224-2-422−22−2222-222-20000−22222−2−2222−2200002i3−2i3−2i32i3000000002−2−2200000000−i6i6i6−i6000000000000000000000000000000
χ854-4-444-200-4224-2-4−222222−22-222-2000022−22−222−2−22220000−2i32i32i3−2i300000000−222−200000000−i6i6i6−i6000000000000000000000000000000
χ864-4-444-200-4224-2-4−222222−22-222-2000022−22−222−2−222200002i3−2i3−2i32i300000000−222−200000000i6−i6−i6i6000000000000000000000000000000
χ874-4-44-24002-4-4-24222−22−2222-222-200002−2−222222−22−2200000000000000002−2−22000000000000−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−ζ470000000000000000000000
χ884-4-44-24002-4-4-24222−22−2222-222-200002−2−222222−22−2200000000000000002−2−22000000000000ζ11−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+ζ470000000000000000000000
χ894-4-44-24002-4-4-242−222222−22-222-20000−2222−22−22222−20000000000000000−222−2000000000000−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+ζ430000000000000000000000
χ904-4-44-24002-4-4-242−222222−22-222-20000−2222−22−22222−20000000000000000−222−2000000000000ζ25+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−ζ430000000000000000000000
χ918888-4-4-8-8-4-4-4-4-4-40000222244440000000000000000000000-2-20000000000000000000000000000000000000000000000
χ9288-8-8-4-400-44-444442−4242−4222-2-20000−2222−2222−2222−222200000000000000002−22−2000000000000000000000000000000000000000000
χ9388-8-8-4-400-44-4444−4242−424222-2-2000022−2222−2222−2222−220000000000000000−22−22000000000000000000000000000000000000000000
χ948-88-8-4-4-884-4444-400002-22-2-444-400000000000000000000002-20000000000000000000000000000000000000000000000
χ958-8-88-4-400444-4-4442−42−42422-2-22000022−2222−22−2222−22220000000000000000−222−2000000000000000000000000000000000000000000
χ968-8-88-4-400444-4-44−424242−422-2-220000−2222−222222−2222−2200000000000000002−2−22000000000000000000000000000000000000000000

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