Finite Group Databasebeta

← Group #11797817

Character table — Group #11797817

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90
size111122222222222222444444444444444488888888121212121212121212121212121212121212121212121212161616161616161618181818242424243636484848487272
order1222334466666688883666121212122424242424242424441212242424241616161616161616484848484848484848484848484848481212121212121212444422448866121222
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
χ911-1-1111-1-111-1-1-111-1-11-11-1-1-11111-1-111-1-1i−i-1111-1-1ii−i−i11-1-1iiii−i−i−i−i1111-1-1-1-1ii−i−iii−i−ii−ii−i1-1i−ii−i1-1i−i1-1
χ1011-1-1111-1-111-1-1-111-1-11-11-1-1-11111-1-111-1-1i−i-1111-1-1ii−i−i-1-111iiii−i−i−i−i-1-1-1-11111ii−i−iii−i−i−ii−ii1-1−ii−ii1-1−ii-11
χ1111-1-1111-1-111-1-1-111-1-11-11-1-1-11111-1-111-1-1i−i-1111-1-1−i−iii11-1-1−i−i−i−iiiii1111-1-1-1-1ii−i−iii−i−i−ii−ii-11i−i−ii-11i−i-11
χ1211-1-1111-1-111-1-1-111-1-11-11-1-1-11111-1-111-1-1i−i-1111-1-1−i−iii-1-111−i−i−i−iiiii-1-1-1-11111ii−i−iii−i−ii−ii−i-11−iii−i-11−ii1-1
χ1311-1-1111-1-111-1-1-111-1-11-11-1-1-11111-1-111-1-1−ii-1111-1-1ii−i−i11-1-1iiii−i−i−i−i1111-1-1-1-1−i−iii−i−iiii−ii−i-11−iii−i-11−ii-11
χ1411-1-1111-1-111-1-1-111-1-11-11-1-1-11111-1-111-1-1−ii-1111-1-1ii−i−i-1-111iiii−i−i−i−i-1-1-1-11111−i−iii−i−iii−ii−ii-11i−i−ii-11i−i1-1
χ1511-1-1111-1-111-1-1-111-1-11-11-1-1-11111-1-111-1-1−ii-1111-1-1−i−iii11-1-1−i−i−i−iiiii1111-1-1-1-1−i−iii−i−iii−ii−ii1-1−ii−ii1-1−ii1-1
χ1611-1-1111-1-111-1-1-111-1-11-11-1-1-11111-1-111-1-1−ii-1111-1-1−i−iii-1-111−i−i−i−iiiii-1-1-1-11111−i−iii−i−iiii−ii−i1-1i−ii−i1-1i−i-11
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
χ2322222-122-12-12-122222-1-1-1-12-12-1-1-12222-1-122-1-1-1-1-1-122220000-1-1-1-1-1-1-1-1000000002-12-1-1-1-1-10000220000-1-10000
χ2422222-122-12-12-122222-1-1-1-12-12-1-1-12222-1-122-1-1-1-1-1-1-2-2-2-2000011111111000000002-12-1-1-1-1-10000-2-20000110000
χ2522222-122-12-12-122222-1-1-1-12-12-1-1-12222-1-1-2-2-1-1-1-1-1-122220000-1-1-1-1-1-1-1-100000000-21-2111110000-2-20000110000
χ2622222-122-12-12-122222-1-1-1-12-12-1-1-12222-1-1-2-2-1-1-1-1-1-1-2-2-2-200001111111100000000-21-2111110000220000-1-10000
χ272222-12222-12-12-12222-1-1-1-1-12-1222-1-1-1-12222-1-1-1-1-1-10000222200000000-1-1-1-1-1-1-1-1-12-12-1-1-1-1000000220000-1-100
χ282222-12222-12-12-12222-1-1-1-1-12-1222-1-1-1-12222-1-1-1-1-1-10000-2-2-2-20000000011111111-12-12-1-1-1-1000000-2-200001100
χ292222-12222-12-12-12222-1-1-1-1-12-1222-1-1-1-122-2-2-1-1-1-1-1-10000222200000000-1-1-1-1-1-1-1-11-21-21111000000-2-200001100
χ302222-12222-12-12-12222-1-1-1-1-12-1222-1-1-1-122-2-2-1-1-1-1-1-10000-2-2-2-200000000111111111-21-21111000000220000-1-100
χ3122-2-2222-2-222-2-2-2-2-2222-22-2-2-222-2-222-2-22200-22-2-222000000000000000000000000000000002i−2i2i−2i0000−2i2i000000
χ3222-2-2222-2-222-2-2-2-2-2222-22-2-2-222-2-222-2-22200-22-2-22200000000000000000000000000000000−2i2i−2i2i00002i−2i000000
χ3322-2-222-22-222-2-2-200002-22-222-2-200000000002-20000−i2i2i2−i22−2−22−i2−i2i2i2i2i2−i2−i222−2−2−2−22200000000−2i2i2i−2i000000000000
χ3422-2-222-22-222-2-2-200002-22-222-2-200000000002-20000−i2i2i2−i2−222−2−i2−i2i2i2i2i2−i2−i2−2−22222−2−2000000002i−2i−2i2i000000000000
χ3522-2-222-22-222-2-2-200002-22-222-2-200000000002-20000i2−i2−i2i22−2−22i2i2−i2−i2−i2−i2i2i222−2−2−2−222000000002i−2i−2i2i000000000000
χ3622-2-222-22-222-2-2-200002-22-222-2-200000000002-20000i2−i2−i2i2−222−2i2i2−i2−i2−i2−i2i2i2−2−22222−2−200000000−2i2i2i−2i000000000000
χ3722-2-22-12-212-1-21-222-2-2-11-11-212-1-1-1-2-222112i−2i1-1-1-1112i2i−2i−2i0000−i−i−i−iiiii000000002i−i−2ii−i−iii00002-20000-110000
χ3822-2-22-12-212-1-21-222-2-2-11-11-212-1-1-1-2-222112i−2i1-1-1-111−2i−2i2i2i0000iiii−i−i−i−i000000002i−i−2ii−i−iii0000-2200001-10000
χ3922-2-22-12-212-1-21-222-2-2-11-11-212-1-1-1-2-22211−2i2i1-1-1-1112i2i−2i−2i0000−i−i−i−iiiii00000000−2ii2i−iii−i−i0000-2200001-10000
χ4022-2-22-12-212-1-21-222-2-2-11-11-212-1-1-1-2-22211−2i2i1-1-1-111−2i−2i2i2i0000iiii−i−i−i−i00000000−2ii2i−iii−i−i00002-20000-110000
χ4122-2-2-122-2-2-121-2122-2-2-11-111-2-122211-1-1-2-22i−2i1-1-1-111000022-2-200000000-1-1-1-11111−i2ii−2i−i−iii0000002i−2i0000−ii00
χ4222-2-2-122-2-2-121-2122-2-2-11-111-2-122211-1-1-2-22i−2i1-1-1-1110000-2-222000000001111-1-1-1-1−i2ii−2i−i−iii000000−2i2i0000i−i00
χ4322-2-2-122-2-2-121-2122-2-2-11-111-2-122211-1-1-2-2−2i2i1-1-1-111000022-2-200000000-1-1-1-11111i−2i−i2iii−i−i000000−2i2i0000i−i00
χ4422-2-2-122-2-2-121-2122-2-2-11-111-2-122211-1-1-2-2−2i2i1-1-1-1110000-2-222000000001111-1-1-1-1i−2i−i2iii−i−i0000002i−2i0000−ii00
χ4544444-244-24-24-24-4-4-4-4-2-2-2-24-24-222-4-4-4-42200-2-22222000000000000000000000000000000000000000000000000
χ4644444-2-4-4-24-24-240000-2-2-2-2-42-42000000000022000022−2222−220000−2−222−2−22200000000000000000000000000000000
χ4744444-2-4-4-24-24-240000-2-2-2-2-42-420000000000220000−2222−2222000022−2−222−2−200000000000000000000000000000000
χ484444-24444-24-24-2-4-4-4-4-2-2-2-2-24-24-4-42222-4-400-2-22222000000000000000000000000000000000000000000000000
χ494444-24-4-44-24-24-20000-2-2-2-22-42-40000000000220000000022−2222−2200000000−2−222−2−222000000000000000000000000
χ504444-24-4-44-24-24-20000-2-2-2-22-42-400000000002200000000−2222−22220000000022−2−222−2−2000000000000000000000000
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
χ5544-4-44-24-424-2-42-4-4-444-22-22-424-22244-4-4-2-2002-222-2-2000000000000000000000000000000000000000000000000
χ5644-4-44-2-4424-2-42-40000-22-224-2-420000000000-220000−2i22i22i2−2i20000i2i2−i2−i2−i2−i2i2i200000000000000000000000000000000
χ5744-4-44-2-4424-2-42-40000-22-224-2-420000000000-2200002i2−2i2−2i22i20000−i2−i2i2i2i2i2−i2−i200000000000000000000000000000000
χ5844-4-4-244-4-4-242-42-4-444-22-222-4-24-4-4-2-22244002-222-2-2000000000000000000000000000000000000000000000000
χ5944-4-4-24-44-4-242-420000-22-22-242-40000000000-220000000022−22−222200000000−2−22222−2−2000000000000000000000000
χ6044-4-4-24-44-4-242-420000-22-22-242-40000000000-2200000000−222222−220000000022−2−2−2−222000000000000000000000000
χ6144-4-4-2-24-42-2-222244-4-41-11-122-2-2-2-222-2-2224i−4i-1111-1-1000000000000000000000000−2i−2i2i2iii−i−i0000000000000000
χ6244-4-4-2-24-42-2-222244-4-41-11-122-2-2-2-222-2-222−4i4i-1111-1-10000000000000000000000002i2i−2i−2i−i−iii0000000000000000
χ6344-4-4-2-24-42-2-2222-4-4441-11-122-2-222-2-222-2-200-11-1-11100000000000000000000000000003i−3i−3i3i0000000000000000
χ6444-4-4-2-24-42-2-2222-4-4441-11-122-2-222-2-222-2-200-11-1-1110000000000000000000000000000−3i3i3i−3i0000000000000000
χ654-44-44400-4-4-444-422−2222−224-4-44000022−2222−2222−2222−22000022−2222−22000000000000000000000000000000000000000000000000
χ664-44-44400-4-4-444-4−2222−22224-4-440000−2222−2222−2222−22220000−2222−2222000000000000000000000000000000000000000000000000
χ674-44-44-2002-424-2-422−2222−22-222-20000−2222−2222−22−220000−22−2200000000−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
χ684-44-44-2002-424-2-422−2222−22-222-20000−2222−2222−22−220000−22−2200000000ζ11+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
χ694-44-44-2002-424-2-4−2222−2222-222-200002−2−2222−22222−200002−22−200000000−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
χ704-44-44-2002-424-2-4−2222−2222-222-200002−2−2222−22222−200002−22−200000000ζ25−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
χ714-44-4-2400-42-4-24222−2222−22-222-2000022−22−22−2222−220000−22−220000000000000000−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
χ724-44-4-2400-42-4-24222−2222−22-222-2000022−22−22−2222−220000−22−220000000000000000ζ25+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
χ734-44-4-2400-42-4-242−2222−2222-222-20000−22222−22−2−222200002−22−20000000000000000−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
χ744-44-4-2400-42-4-242−2222−2222-222-20000−22222−22−2−222200002−22−20000000000000000ζ11−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
χ754-4-4444004-4-4-4-4422−22−222244-4-4000022−22−222222−22−2222000022−22−2222000000000000000000000000000000000000000000000000
χ764-4-4444004-4-4-4-44−222222−2244-4-40000−222222−22−222222−220000−222222−22000000000000000000000000000000000000000000000000
χ774-4-444-200-2-42-42422−22−2222-2-2220000−22−222222−222−20000−222−200000000−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
χ784-4-444-200-2-42-42422−22−2222-2-2220000−22−222222−222−20000−222−200000000ζ25+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
χ794-4-444-200-2-42-424−222222−22-2-22200002−222−22−2222−2200002−2−2200000000−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
χ804-4-444-200-2-42-424−222222−22-2-22200002−222−22−2222−2200002−2−2200000000ζ11−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
χ814-4-44-240042-42-4-222−22−2222-2-222000022−222−2−22−22220000−222−20000000000000000−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+ζ43000000000000000000000000
χ824-4-44-240042-42-4-222−22−2222-2-222000022−222−2−22−22220000−222−20000000000000000ζ25+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−ζ43000000000000000000000000
χ834-4-44-240042-42-4-2−222222−22-2-2220000−2222−222−222−2200002−2−220000000000000000−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−ζ47000000000000000000000000
χ844-4-44-240042-42-4-2−222222−22-2-2220000−2222−222−222−2200002−2−220000000000000000ζ11−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+ζ47000000000000000000000000
χ858888-4-4-8-8-4-4-4-4-4-40000222244440000000000-2-20000000000000000000000000000000000000000000000000000
χ8688-8-8-4-4-884-4-444400002-22-2-4-44400000000002-20000000000000000000000000000000000000000000000000000
χ878-88-8-4-400444-4-4442−4242−422-2-220000−2222−2222−2222−222200002−22−2000000000000000000000000000000000000000000000000
χ888-88-8-4-400444-4-44−4242−42422-2-22000022−2222−2222−2222−220000−22−22000000000000000000000000000000000000000000000000
χ898-8-88-4-400-44444-442−42−424222-2-20000−222222−22−222222−2200002−2−22000000000000000000000000000000000000000000000000
χ908-8-88-4-400-44444-4−424242−4222-2-2000022−22−222222−22−22220000−222−2000000000000000000000000000000000000000000000000

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