Finite Group Databasebeta

← Group #11799643

Character table — Group #11799643

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87
size111122222222222222444444444444444488888888121212121212121212121212121212121212121212121212161616161616161618183636364848484848487272
order122233446666668888366612121212242424242424242444121224242424161616161616161648484848484848484848484848484848121212121212121244488441212121222
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-11-111-1-1-1-1
χ3111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-11-1-111-1-1
χ4111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111-1-1-1-1-1-111
χ51111111111111111111111111111111111-1-1111111111111111111111111111111-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-1
χ61111111111111111111111111111111111-1-11111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-11111
χ71111111111111111111111111111111111-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-11-111-1-111
χ81111111111111111111111111111111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111-1-1
χ922222222222222-2-2-2-222222222-2-2-2-2-2-2-2-20022-2-2-2-200000000000000000000000000000000222-2-200000000
χ1022222222222222-2-2-2-222222222-2-2-2-2-2-2-2-20022-2-2-2-200000000000000000000000000000000-2-2-22200000000
χ11222222-2-222222200002222-2-2-2-20000000000-2-2000022−2−222−2−22222−2−2−2−22222−2−2−2−20000000022-20000000000
χ12222222-2-222222200002222-2-2-2-20000000000-2-2000022−2−2−2−2222222−2−2−2−2−2−2−2−2222200000000-2-220000000000
χ13222222-2-222222200002222-2-2-2-20000000000-2-20000−2−22222−2−2−2−2−2−222222222−2−2−2−200000000-2-220000000000
χ14222222-2-222222200002222-2-2-2-20000000000-2-20000−2−222−2−222−2−2−2−22222−2−2−2−222220000000022-20000000000
χ1522222-12222-1-1-122222-1-1-1-12-12-122-1-122-1-122-1-1-1-1-1-122220000-1-1-1-1-1-1-1-100000000-1-122-1-1-1-10000020-1-10000
χ1622222-12222-1-1-122222-1-1-1-12-12-122-1-122-1-122-1-1-1-1-1-1-2-2-2-200001111111100000000-1-122-1-1-1-100000-20110000
χ1722222-12222-1-1-122222-1-1-1-12-12-122-1-122-1-1-2-2-1-1-1-1-1-122220000-1-1-1-1-1-1-1-10000000011-2-2111100000-20110000
χ1822222-12222-1-1-122222-1-1-1-12-12-122-1-122-1-1-2-2-1-1-1-1-1-1-2-2-2-20000111111110000000011-2-211110000020-1-10000
χ192222-1222-1-1222-12222-1-1-1-1-12-12-1-122-1-12222-1-1-1-1-1-10000222200000000-1-1-1-1-1-1-1-122-1-1-1-1-1-1000000200-1-100
χ202222-1222-1-1222-12222-1-1-1-1-12-12-1-122-1-12222-1-1-1-1-1-10000-2-2-2-2000000001111111122-1-1-1-1-1-1000000-2001100
χ212222-1222-1-1222-12222-1-1-1-1-12-12-1-122-1-122-2-2-1-1-1-1-1-10000222200000000-1-1-1-1-1-1-1-1-2-2111111000000-2001100
χ222222-1222-1-1222-12222-1-1-1-1-12-12-1-122-1-122-2-2-1-1-1-1-1-10000-2-2-2-20000000011111111-2-2111111000000200-1-100
χ2322-2-2222-2-222-2-2-222-2-22-22-2-2-2222222-2-2-2-200-2222-2-200000000000000000000000000000000000000000002-2
χ2422-2-2222-2-222-2-2-222-2-22-22-2-2-2222222-2-2-2-200-2222-2-20000000000000000000000000000000000000000000-22
χ2522-2-2222-2-222-2-2-2-2-2222-22-2-2-222-2-2-2-222222i−2i-22-2-2220000000000000000000000002i−2i2i−2i2i2i−2i−2i0000000000000
χ2622-2-2222-2-222-2-2-2-2-2222-22-2-2-222-2-2-2-22222−2i2i-22-2-222000000000000000000000000−2i2i−2i2i−2i−2i2i2i0000000000000
χ2722-2-22-12-2-22-111-2-2-222-11-11-212-1-2-21122-1-12i−2i1-111-1-100000000−i3−i3i3i3−i3−i3i3i300000000−ii2i−2i−i−iii00000003−30000
χ2822-2-22-12-2-22-111-2-2-222-11-11-212-1-2-21122-1-12i−2i1-111-1-100000000i3i3−i3−i3i3i3−i3−i300000000−ii2i−2i−i−iii0000000−330000
χ2922-2-22-12-2-22-111-2-2-222-11-11-212-1-2-21122-1-1−2i2i1-111-1-100000000−i3−i3i3i3−i3−i3i3i300000000i−i−2i2iii−i−i0000000−330000
χ3022-2-22-12-2-22-111-2-2-222-11-11-212-1-2-21122-1-1−2i2i1-111-1-100000000i3i3−i3−i3i3i3−i3−i300000000i−i−2i2iii−i−i00000003−30000
χ3122-2-2-122-21-12-2-21-2-222-11-111-2-1211-2-2-1-1222i−2i1-111-1-10000000000000000−i3−i3i3i3−i3−i3i3i32i−2i−ii−i−iii0000000003−300
χ3222-2-2-122-21-12-2-21-2-222-11-111-2-1211-2-2-1-1222i−2i1-111-1-10000000000000000i3i3−i3−i3i3i3−i3−i32i−2i−ii−i−iii000000000−3300
χ3322-2-2-122-21-12-2-21-2-222-11-111-2-1211-2-2-1-122−2i2i1-111-1-10000000000000000−i3−i3i3i3−i3−i3i3i3−2i2ii−iii−i−i000000000−3300
χ3422-2-2-122-21-12-2-21-2-222-11-111-2-1211-2-2-1-122−2i2i1-111-1-10000000000000000i3i3−i3−i3i3i3−i3−i3−2i2ii−iii−i−i0000000003−300
χ352-22-222002-2-2-22-22−22−222-2-200002−22−22−22−200002−22−2−ζ25−ζ31−ζ41−ζ47ζ25+ζ31+ζ41+ζ47ζ11+ζ13+ζ29+ζ43−ζ11−ζ13−ζ29−ζ43ζ11−ζ13−ζ29+ζ43−ζ11+ζ13+ζ29−ζ43−ζ25+ζ31−ζ41+ζ47ζ25−ζ31+ζ41−ζ47−ζ25−ζ31−ζ41−ζ47ζ25+ζ31+ζ41+ζ47−ζ25−ζ31−ζ41−ζ47ζ25+ζ31+ζ41+ζ47ζ11+ζ13+ζ29+ζ43−ζ11−ζ13−ζ29−ζ43ζ11+ζ13+ζ29+ζ43−ζ11−ζ13−ζ29−ζ43ζ11−ζ13−ζ29+ζ43−ζ11+ζ13+ζ29−ζ43ζ11−ζ13−ζ29+ζ43−ζ11+ζ13+ζ29−ζ43−ζ25+ζ31−ζ41+ζ47ζ25−ζ31+ζ41−ζ47−ζ25+ζ31−ζ41+ζ47ζ25−ζ31+ζ41−ζ47000000002i−2i0−i2i200000000
χ362-22-222002-2-2-22-22−22−222-2-200002−22−22−22−200002−22−2−ζ25−ζ31−ζ41−ζ47ζ25+ζ31+ζ41+ζ47ζ11+ζ13+ζ29+ζ43−ζ11−ζ13−ζ29−ζ43−ζ11+ζ13+ζ29−ζ43ζ11−ζ13−ζ29+ζ43ζ25−ζ31+ζ41−ζ47−ζ25+ζ31−ζ41+ζ47−ζ25−ζ31−ζ41−ζ47ζ25+ζ31+ζ41+ζ47−ζ25−ζ31−ζ41−ζ47ζ25+ζ31+ζ41+ζ47ζ11+ζ13+ζ29+ζ43−ζ11−ζ13−ζ29−ζ43ζ11+ζ13+ζ29+ζ43−ζ11−ζ13−ζ29−ζ43−ζ11+ζ13+ζ29−ζ43ζ11−ζ13−ζ29+ζ43−ζ11+ζ13+ζ29−ζ43ζ11−ζ13−ζ29+ζ43ζ25−ζ31+ζ41−ζ47−ζ25+ζ31−ζ41+ζ47ζ25−ζ31+ζ41−ζ47−ζ25+ζ31−ζ41+ζ4700000000−2i2i0i2−i200000000
χ372-22-222002-2-2-22-22−22−222-2-200002−22−22−22−200002−22−2ζ25+ζ31+ζ41+ζ47−ζ25−ζ31−ζ41−ζ47−ζ11−ζ13−ζ29−ζ43ζ11+ζ13+ζ29+ζ43ζ11−ζ13−ζ29+ζ43−ζ11+ζ13+ζ29−ζ43−ζ25+ζ31−ζ41+ζ47ζ25−ζ31+ζ41−ζ47ζ25+ζ31+ζ41+ζ47−ζ25−ζ31−ζ41−ζ47ζ25+ζ31+ζ41+ζ47−ζ25−ζ31−ζ41−ζ47−ζ11−ζ13−ζ29−ζ43ζ11+ζ13+ζ29+ζ43−ζ11−ζ13−ζ29−ζ43ζ11+ζ13+ζ29+ζ43ζ11−ζ13−ζ29+ζ43−ζ11+ζ13+ζ29−ζ43ζ11−ζ13−ζ29+ζ43−ζ11+ζ13+ζ29−ζ43−ζ25+ζ31−ζ41+ζ47ζ25−ζ31+ζ41−ζ47−ζ25+ζ31−ζ41+ζ47ζ25−ζ31+ζ41−ζ4700000000−2i2i0i2−i200000000
χ382-22-222002-2-2-22-22−22−222-2-200002−22−22−22−200002−22−2ζ25+ζ31+ζ41+ζ47−ζ25−ζ31−ζ41−ζ47−ζ11−ζ13−ζ29−ζ43ζ11+ζ13+ζ29+ζ43−ζ11+ζ13+ζ29−ζ43ζ11−ζ13−ζ29+ζ43ζ25−ζ31+ζ41−ζ47−ζ25+ζ31−ζ41+ζ47ζ25+ζ31+ζ41+ζ47−ζ25−ζ31−ζ41−ζ47ζ25+ζ31+ζ41+ζ47−ζ25−ζ31−ζ41−ζ47−ζ11−ζ13−ζ29−ζ43ζ11+ζ13+ζ29+ζ43−ζ11−ζ13−ζ29−ζ43ζ11+ζ13+ζ29+ζ43−ζ11+ζ13+ζ29−ζ43ζ11−ζ13−ζ29+ζ43−ζ11+ζ13+ζ29−ζ43ζ11−ζ13−ζ29+ζ43ζ25−ζ31+ζ41−ζ47−ζ25+ζ31−ζ41+ζ47ζ25−ζ31+ζ41−ζ47−ζ25+ζ31−ζ41+ζ47000000002i−2i0−i2i200000000
χ392-22-222002-2-2-22-2−22−2222-2-20000−22−22−22−220000−22−22ζ11+ζ13+ζ29+ζ43−ζ11−ζ13−ζ29−ζ43ζ25+ζ31+ζ41+ζ47−ζ25−ζ31−ζ41−ζ47−ζ25+ζ31−ζ41+ζ47ζ25−ζ31+ζ41−ζ47−ζ11+ζ13+ζ29−ζ43ζ11−ζ13−ζ29+ζ43ζ11+ζ13+ζ29+ζ43−ζ11−ζ13−ζ29−ζ43ζ11+ζ13+ζ29+ζ43−ζ11−ζ13−ζ29−ζ43ζ25+ζ31+ζ41+ζ47−ζ25−ζ31−ζ41−ζ47ζ25+ζ31+ζ41+ζ47−ζ25−ζ31−ζ41−ζ47−ζ25+ζ31−ζ41+ζ47ζ25−ζ31+ζ41−ζ47−ζ25+ζ31−ζ41+ζ47ζ25−ζ31+ζ41−ζ47−ζ11+ζ13+ζ29−ζ43ζ11−ζ13−ζ29+ζ43−ζ11+ζ13+ζ29−ζ43ζ11−ζ13−ζ29+ζ43000000002i−2i0i2−i200000000
χ402-22-222002-2-2-22-2−22−2222-2-20000−22−22−22−220000−22−22ζ11+ζ13+ζ29+ζ43−ζ11−ζ13−ζ29−ζ43ζ25+ζ31+ζ41+ζ47−ζ25−ζ31−ζ41−ζ47ζ25−ζ31+ζ41−ζ47−ζ25+ζ31−ζ41+ζ47ζ11−ζ13−ζ29+ζ43−ζ11+ζ13+ζ29−ζ43ζ11+ζ13+ζ29+ζ43−ζ11−ζ13−ζ29−ζ43ζ11+ζ13+ζ29+ζ43−ζ11−ζ13−ζ29−ζ43ζ25+ζ31+ζ41+ζ47−ζ25−ζ31−ζ41−ζ47ζ25+ζ31+ζ41+ζ47−ζ25−ζ31−ζ41−ζ47ζ25−ζ31+ζ41−ζ47−ζ25+ζ31−ζ41+ζ47ζ25−ζ31+ζ41−ζ47−ζ25+ζ31−ζ41+ζ47ζ11−ζ13−ζ29+ζ43−ζ11+ζ13+ζ29−ζ43ζ11−ζ13−ζ29+ζ43−ζ11+ζ13+ζ29−ζ4300000000−2i2i0−i2i200000000
χ412-22-222002-2-2-22-2−22−2222-2-20000−22−22−22−220000−22−22−ζ11−ζ13−ζ29−ζ43ζ11+ζ13+ζ29+ζ43−ζ25−ζ31−ζ41−ζ47ζ25+ζ31+ζ41+ζ47−ζ25+ζ31−ζ41+ζ47ζ25−ζ31+ζ41−ζ47−ζ11+ζ13+ζ29−ζ43ζ11−ζ13−ζ29+ζ43−ζ11−ζ13−ζ29−ζ43ζ11+ζ13+ζ29+ζ43−ζ11−ζ13−ζ29−ζ43ζ11+ζ13+ζ29+ζ43−ζ25−ζ31−ζ41−ζ47ζ25+ζ31+ζ41+ζ47−ζ25−ζ31−ζ41−ζ47ζ25+ζ31+ζ41+ζ47−ζ25+ζ31−ζ41+ζ47ζ25−ζ31+ζ41−ζ47−ζ25+ζ31−ζ41+ζ47ζ25−ζ31+ζ41−ζ47−ζ11+ζ13+ζ29−ζ43ζ11−ζ13−ζ29+ζ43−ζ11+ζ13+ζ29−ζ43ζ11−ζ13−ζ29+ζ4300000000−2i2i0−i2i200000000
χ422-22-222002-2-2-22-2−22−2222-2-20000−22−22−22−220000−22−22−ζ11−ζ13−ζ29−ζ43ζ11+ζ13+ζ29+ζ43−ζ25−ζ31−ζ41−ζ47ζ25+ζ31+ζ41+ζ47ζ25−ζ31+ζ41−ζ47−ζ25+ζ31−ζ41+ζ47ζ11−ζ13−ζ29+ζ43−ζ11+ζ13+ζ29−ζ43−ζ11−ζ13−ζ29−ζ43ζ11+ζ13+ζ29+ζ43−ζ11−ζ13−ζ29−ζ43ζ11+ζ13+ζ29+ζ43−ζ25−ζ31−ζ41−ζ47ζ25+ζ31+ζ41+ζ47−ζ25−ζ31−ζ41−ζ47ζ25+ζ31+ζ41+ζ47ζ25−ζ31+ζ41−ζ47−ζ25+ζ31−ζ41+ζ47ζ25−ζ31+ζ41−ζ47−ζ25+ζ31−ζ41+ζ47ζ11−ζ13−ζ29+ζ43−ζ11+ζ13+ζ29−ζ43ζ11−ζ13−ζ29+ζ43−ζ11+ζ13+ζ29−ζ43000000002i−2i0i2−i200000000
χ4344444-24444-2-2-24-4-4-4-4-2-2-2-24-24-2-4-422-4-42200-2-22222000000000000000000000000000000000000000000000
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χ6144-4-4-2-24-42-2-222244-4-41-11-122-2-2-2-2-2-2222200-1111-1-10000000000000000000000000000−3i3i3i−3i0000000000000
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χ704-44-4-2400-22-4-442−2222−2222-2-22200002−2−22222−2−222200002−22−20000−2ζ25+2ζ31−2ζ41+2ζ472ζ25−2ζ31+2ζ41−2ζ47−2ζ11+2ζ13+2ζ29−2ζ432ζ11−2ζ13−2ζ29+2ζ4300000000ζ25−ζ31+ζ41−ζ47−ζ25+ζ31−ζ41+ζ47ζ25−ζ31+ζ41−ζ47−ζ25+ζ31−ζ41+ζ47ζ11−ζ13−ζ29+ζ43−ζ11+ζ13+ζ29−ζ43ζ11−ζ13−ζ29+ζ43−ζ11+ζ13+ζ29−ζ43000000000000000000000
χ714-44-4-2400-22-4-442−2222−2222-2-22200002−2−22222−2−222200002−22−200002ζ25−2ζ31+2ζ41−2ζ47−2ζ25+2ζ31−2ζ41+2ζ472ζ11−2ζ13−2ζ29+2ζ43−2ζ11+2ζ13+2ζ29−2ζ4300000000−ζ25+ζ31−ζ41+ζ47ζ25−ζ31+ζ41−ζ47−ζ25+ζ31−ζ41+ζ47ζ25−ζ31+ζ41−ζ47−ζ11+ζ13+ζ29−ζ43ζ11−ζ13−ζ29+ζ43−ζ11+ζ13+ζ29−ζ43ζ11−ζ13−ζ29+ζ43000000000000000000000
χ724-4-444400-4-4-44-4422−22−22224-4-44000022−2222−22−2222−2222000022−22−2222000000000000000000000000000000000000000000000
χ734-4-444400-4-4-44-44−222222−224-4-440000−2222−222222−2222−220000−222222−22000000000000000000000000000000000000000000000
χ744-4-444-200-4-42-22422−22−2222-222-2000022−22−22−22222−20000−222−200000000−ζ11+ζ13−ζ29+ζ43ζ11−ζ13+ζ29−ζ43ζ11−ζ13+ζ29−ζ43−ζ11+ζ13−ζ29+ζ43ζ25+ζ31−ζ41−ζ47−ζ25−ζ31+ζ41+ζ47−ζ25−ζ31+ζ41+ζ47ζ25+ζ31−ζ41−ζ4700000000000000000000000000000
χ754-4-444-200-4-42-22422−22−2222-222-2000022−22−22−22222−20000−222−200000000ζ11−ζ13+ζ29−ζ43−ζ11+ζ13−ζ29+ζ43−ζ11+ζ13−ζ29+ζ43ζ11−ζ13+ζ29−ζ43−ζ25−ζ31+ζ41+ζ47ζ25+ζ31−ζ41−ζ47ζ25+ζ31−ζ41−ζ47−ζ25−ζ31+ζ41+ζ4700000000000000000000000000000
χ764-4-444-200-4-42-224−222222−22-222-20000−22222−222−22−2200002−2−2200000000−ζ25−ζ31+ζ41+ζ47ζ25+ζ31−ζ41−ζ47ζ25+ζ31−ζ41−ζ47−ζ25−ζ31+ζ41+ζ47−ζ11+ζ13−ζ29+ζ43ζ11−ζ13+ζ29−ζ43ζ11−ζ13+ζ29−ζ43−ζ11+ζ13−ζ29+ζ4300000000000000000000000000000
χ774-4-444-200-4-42-224−222222−22-222-20000−22222−222−22−2200002−2−2200000000ζ25+ζ31−ζ41−ζ47−ζ25−ζ31+ζ41+ζ47−ζ25−ζ31+ζ41+ζ47ζ25+ζ31−ζ41−ζ47ζ11−ζ13+ζ29−ζ43−ζ11+ζ13−ζ29+ζ43−ζ11+ζ13−ζ29+ζ43ζ11−ζ13+ζ29−ζ4300000000000000000000000000000
χ784-4-44-240022-44-4-222−22−2222-222-20000−2222−222−2−22220000−222−20000000000000000−ζ25+ζ31+ζ41−ζ47ζ25−ζ31−ζ41+ζ47ζ25−ζ31−ζ41+ζ47−ζ25+ζ31+ζ41−ζ47ζ11+ζ13−ζ29−ζ43−ζ11−ζ13+ζ29+ζ43−ζ11−ζ13+ζ29+ζ43ζ11+ζ13−ζ29−ζ43000000000000000000000
χ794-4-44-240022-44-4-222−22−2222-222-20000−2222−222−2−22220000−222−20000000000000000ζ25−ζ31−ζ41+ζ47−ζ25+ζ31+ζ41−ζ47−ζ25+ζ31+ζ41−ζ47ζ25−ζ31−ζ41+ζ47−ζ11−ζ13+ζ29+ζ43ζ11+ζ13−ζ29−ζ43ζ11+ζ13−ζ29−ζ43−ζ11−ζ13+ζ29+ζ43000000000000000000000
χ804-4-44-240022-44-4-2−222222−22-222-200002−2−2222−2222−2200002−2−220000000000000000−ζ11−ζ13+ζ29+ζ43ζ11+ζ13−ζ29−ζ43ζ11+ζ13−ζ29−ζ43−ζ11−ζ13+ζ29+ζ43−ζ25+ζ31+ζ41−ζ47ζ25−ζ31−ζ41+ζ47ζ25−ζ31−ζ41+ζ47−ζ25+ζ31+ζ41−ζ47000000000000000000000
χ814-4-44-240022-44-4-2−222222−22-222-200002−2−2222−2222−2200002−2−220000000000000000ζ11+ζ13−ζ29−ζ43−ζ11−ζ13+ζ29+ζ43−ζ11−ζ13+ζ29+ζ43ζ11+ζ13−ζ29−ζ43ζ25−ζ31−ζ41+ζ47−ζ25+ζ31+ζ41−ζ47−ζ25+ζ31+ζ41−ζ47ζ25−ζ31−ζ41+ζ47000000000000000000000
χ828888-4-4-8-8-4-4-4-4-4-40000222244440000000000-2-20000000000000000000000000000000000000000000000000
χ8388-8-8-4-4-884-4-444400002-22-2-4-44400000000002-20000000000000000000000000000000000000000000000000
χ848-88-8-4-400-4444-4442−4242−4222-2-20000−2222−2222−2222−222200002−22−2000000000000000000000000000000000000000000000
χ858-88-8-4-400-4444-44−4242−424222-2-2000022−2222−2222−2222−220000−22−22000000000000000000000000000000000000000000000
χ868-8-88-4-400444-44-442−42−42422-2-220000−2222−222222−2222−2200002−2−22000000000000000000000000000000000000000000000
χ878-8-88-4-400444-44-4−424242−422-2-22000022−2222−22−2222−22220000−222−2000000000000000000000000000000000000000000000

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