Finite Group Databasebeta

← Group #11799786

Character table — Group #11799786

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93
size111122222222222222444444444444444466666688888888888812121212121212121212121212121212121212121216161616161624242424242436363636484848144
order122233446666668888366612121212242424242424242422666644121212121212242424244881212161616162424242448484848484848481212121212124412121212161616162664
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111-1-1-1-1-1-1111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1
χ41111111111111111111111111111111111111111-1-1-1-1-1-111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ51111111111111111111111111111111111-1-1-1-1-1-1111111111111-1-1-1-1-11111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1111-1
χ61111111111111111111111111111111111-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-11111-1-1-11
χ71111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1111111-1-1-1-1-1-1-11
χ81111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111-1
χ922222222222222-2-2-2-222222222-2-2-2-2-2-2-2-222222200000022-2-2-2-22-2-2220000-2-2-2-20000000000000000000000000000
χ1022222222222222-2-2-2-222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-200000022-2-2-2-2-222-2-2000022220000000000000000000000000000
χ11222222-2-222222200002222-2-2-2-200000000222222000000-2-20000-200-2-222−2−200002222−2−2−2−200000000000022−2−20000
χ12222222-2-222222200002222-2-2-2-200000000222222000000-2-20000-200-2-2−2−2220000−2−2−2−22222000000000000−2−2220000
χ13222222-2-222222200002222-2-2-2-200000000-2-2-2-2-2-2000000-2-200002002222−2−200002222−2−2−2−2000000000000−2−2220000
χ14222222-2-222222200002222-2-2-2-200000000-2-2-2-2-2-2000000-2-2000020022−2−2220000−2−2−2−2222200000000000022−2−20000
χ1522222-1222-1-12-122222-1-1-1-1-12-12-1-12222-1-1000000222222-1-1-1-1-1-10000022220000-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000002-1-10
χ1622222-1222-1-12-122222-1-1-1-1-12-12-1-12222-1-1000000222222-1-1-1-1-1-100000-2-2-2-2000011111111-1-1-1-1-1-10000000000-2110
χ1722222-1222-1-12-122222-1-1-1-1-12-12-1-12222-1-1000000-2-2-2-2-2-2-1-1-1-1-1-10000022220000-1-1-1-1-1-1-1-11111110000000000-2110
χ1822222-1222-1-12-122222-1-1-1-1-12-12-1-12222-1-1000000-2-2-2-2-2-2-1-1-1-1-1-100000-2-2-2-200001111111111111100000000002-1-10
χ192222-1222-122-12-12222-1-1-1-12-12-122-1-1-1-12222-1-1-1-122-1-1-1-1-1-1-1-1-1-1222-1-10000-1-1-1-10000000022-1-1-1-122-1-1-1-100000000
χ202222-1222-122-12-12222-1-1-1-12-12-122-1-1-1-12222-1-1-1-1-2-21111-1-1-1-1-1-1222-1-10000-1-1-1-100000000-2-21111-2-2111100000000
χ212222-1222-122-12-12222-1-1-1-12-12-122-1-1-1-122-2-2111122-1-1-1-1-1-1-1-1-1-1-2-2-211000011110000000022-1-1-1-1-2-2111100000000
χ222222-1222-122-12-12222-1-1-1-12-12-122-1-1-1-122-2-21111-2-21111-1-1-1-1-1-1-2-2-2110000111100000000-2-2111122-1-1-1-100000000
χ232222-1222-122-12-1-2-2-2-2-1-1-1-12-12-1-2-21111-2-222-1-1-1-100−i3−i3i3i3-1-111112-2-2-1-1000011110000000000−i3−i3i3i300−i3−i3i3i300000000
χ242222-1222-122-12-1-2-2-2-2-1-1-1-12-12-1-2-21111-2-222-1-1-1-100i3i3−i3−i3-1-111112-2-2-1-1000011110000000000i3i3−i3−i300i3i3−i3−i300000000
χ252222-1222-122-12-1-2-2-2-2-1-1-1-12-12-1-2-21111-2-2-2-2111100−i3−i3i3i3-1-11111-222110000-1-1-1-10000000000−i3−i3i3i300i3i3−i3−i300000000
χ262222-1222-122-12-1-2-2-2-2-1-1-1-12-12-1-2-21111-2-2-2-2111100i3i3−i3−i3-1-11111-222110000-1-1-1-10000000000i3i3−i3−i300−i3−i3i3i300000000
χ272-22-222-22-2-222-2-222-2-22-22-2-2-222-2-222-2-222000000000000-2222-2-20000000000000000000000000002i−2i2i−2i2i−2i00000000
χ282-22-222-22-2-222-2-222-2-22-22-2-2-222-2-222-2-222000000000000-2222-2-2000000000000000000000000000−2i2i−2i2i−2i2i00000000
χ292-22-222-22-2-222-2-2-2-2222-22-2-2-22222-2-222-2-20000002i−2i2i−2i2i−2i-22-2-2220000000000000000000002i−2i2i−2i2i−2i00000000000000
χ302-22-222-22-2-222-2-2-2-2222-22-2-2-22222-2-222-2-2000000−2i2i−2i2i−2i2i-22-2-222000000000000000000000−2i2i−2i2i−2i2i00000000000000
χ312-22-22-1-22-21-121-2-2-222-11-111-2-12-1-1-2-222110000002i−2i2i−2i2i−2i1-111-1-1000000000000033−3−333−3−3−ii−ii−ii00000000000−i3i30
χ322-22-22-1-22-21-121-2-2-222-11-111-2-12-1-1-2-222110000002i−2i2i−2i2i−2i1-111-1-10000000000000−3−333−3−333−ii−ii−ii00000000000i3−i30
χ332-22-22-1-22-21-121-2-2-222-11-111-2-12-1-1-2-22211000000−2i2i−2i2i−2i2i1-111-1-1000000000000033−3−333−3−3i−ii−ii−i00000000000i3−i30
χ342-22-22-1-22-21-121-2-2-222-11-111-2-12-1-1-2-22211000000−2i2i−2i2i−2i2i1-111-1-10000000000000−3−333−3−333i−ii−ii−i00000000000−i3i30
χ352-22-2-12-221-22-1-2122-2-2-11-11-212-1-2-2-1-1112200−i3−i3i3i3003−3−331-1-1-111000−i3i30000−i3−i3i3i300000000003−3−332i−2i−ii−ii00000000
χ362-22-2-12-221-22-1-2122-2-2-11-11-212-1-2-2-1-1112200−i3−i3i3i300−333−31-1-1-111000−i3i30000−i3−i3i3i30000000000−333−3−2i2ii−ii−i00000000
χ372-22-2-12-221-22-1-2122-2-2-11-11-212-1-2-2-1-1112200i3i3−i3−i3003−3−331-1-1-111000i3−i30000i3i3−i3−i300000000003−3−33−2i2ii−ii−i00000000
χ382-22-2-12-221-22-1-2122-2-2-11-11-212-1-2-2-1-1112200i3i3−i3−i300−333−31-1-1-111000i3−i30000i3i3−i3−i30000000000−333−32i−2i−ii−ii00000000
χ392-22-2-12-221-22-1-21-2-222-11-11-212-12211-1-1-2-200−i3−i3i3i32i−2i−ii−ii1-111-1-1000−i3i30000i3i3−i3−i3000000002i−2i−ii−ii003−3−3300000000
χ402-22-2-12-221-22-1-21-2-222-11-11-212-12211-1-1-2-200−i3−i3i3i3−2i2ii−ii−i1-111-1-1000−i3i30000i3i3−i3−i300000000−2i2ii−ii−i00−333−300000000
χ412-22-2-12-221-22-1-21-2-222-11-11-212-12211-1-1-2-200i3i3−i3−i32i−2i−ii−ii1-111-1-1000i3−i30000−i3−i3i3i3000000002i−2i−ii−ii00−333−300000000
χ422-22-2-12-221-22-1-21-2-222-11-11-212-12211-1-1-2-200i3i3−i3−i3−2i2ii−ii−i1-111-1-1000i3−i30000−i3−i3i3i300000000−2i2ii−ii−i003−3−3300000000
χ432-2-222200-2-2-2-2222−22−22-2-2200002−22−22−22−22-22-22-2000000002−22−202−200−ζ25+ζ31−ζ41+ζ47ζ25−ζ31+ζ41−ζ47ζ11−ζ13−ζ29+ζ43−ζ11+ζ13+ζ29−ζ432−22−2−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−ζ43000000000000−ζ25+ζ31−ζ41+ζ47ζ25−ζ31+ζ41−ζ47ζ11−ζ13−ζ29+ζ43−ζ11+ζ13+ζ29−ζ430000
χ442-2-222200-2-2-2-2222−22−22-2-2200002−22−22−22−22-22-22-2000000002−22−202−200ζ25−ζ31+ζ41−ζ47−ζ25+ζ31−ζ41+ζ47−ζ11+ζ13+ζ29−ζ43ζ11−ζ13−ζ29+ζ432−22−2ζ25−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+ζ43000000000000ζ25−ζ31+ζ41−ζ47−ζ25+ζ31−ζ41+ζ47−ζ11+ζ13+ζ29−ζ43ζ11−ζ13−ζ29+ζ430000
χ452-2-222200-2-2-2-2222−22−22-2-2200002−22−22−22−2-22-22-22000000002−22−20−2200−ζ25+ζ31−ζ41+ζ47ζ25−ζ31+ζ41−ζ47ζ11−ζ13−ζ29+ζ43−ζ11+ζ13+ζ29−ζ43−22−22−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−ζ43000000000000ζ25−ζ31+ζ41−ζ47−ζ25+ζ31−ζ41+ζ47−ζ11+ζ13+ζ29−ζ43ζ11−ζ13−ζ29+ζ430000
χ462-2-222200-2-2-2-2222−22−22-2-2200002−22−22−22−2-22-22-22000000002−22−20−2200ζ25−ζ31+ζ41−ζ47−ζ25+ζ31−ζ41+ζ47−ζ11+ζ13+ζ29−ζ43ζ11−ζ13−ζ29+ζ43−22−22ζ25−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+ζ43000000000000−ζ25+ζ31−ζ41+ζ47ζ25−ζ31+ζ41−ζ47ζ11−ζ13−ζ29+ζ43−ζ11+ζ13+ζ29−ζ430000
χ472-2-222200-2-2-2-222−22−222-2-220000−22−22−22−222-22-22-200000000−22−220−2200ζ11−ζ13−ζ29+ζ43−ζ11+ζ13+ζ29−ζ43ζ25−ζ31+ζ41−ζ47−ζ25+ζ31−ζ41+ζ47−22−22ζ11−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+ζ47000000000000ζ11−ζ13−ζ29+ζ43−ζ11+ζ13+ζ29−ζ43ζ25−ζ31+ζ41−ζ47−ζ25+ζ31−ζ41+ζ470000
χ482-2-222200-2-2-2-222−22−222-2-220000−22−22−22−222-22-22-200000000−22−220−2200−ζ11+ζ13+ζ29−ζ43ζ11−ζ13−ζ29+ζ43−ζ25+ζ31−ζ41+ζ47ζ25−ζ31+ζ41−ζ47−22−22−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−ζ47000000000000−ζ11+ζ13+ζ29−ζ43ζ11−ζ13−ζ29+ζ43−ζ25+ζ31−ζ41+ζ47ζ25−ζ31+ζ41−ζ470000
χ492-2-222200-2-2-2-222−22−222-2-220000−22−22−22−22-22-22-2200000000−22−2202−200ζ11−ζ13−ζ29+ζ43−ζ11+ζ13+ζ29−ζ43ζ25−ζ31+ζ41−ζ47−ζ25+ζ31−ζ41+ζ472−22−2ζ11−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+ζ47000000000000−ζ11+ζ13+ζ29−ζ43ζ11−ζ13−ζ29+ζ43−ζ25+ζ31−ζ41+ζ47ζ25−ζ31+ζ41−ζ470000
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χ574444-2-244-2-2-2-2-2-244441111-2-2-2-2-2-2-2-2-2-2-2-2000000-4-4222211111100000000000000000000022-1-1-1-100000000000000
χ584444-2-244-2-2-2-2-2-2-4-4-4-41111-2-2-2-22222222200000000−2i3−2i32i32i311-1-1-1-100000000000000000000000i3i3−i3−i300000000000000
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χ784-44-4-2-2-4422-2-222-4-4441-11-122-2-2-2-222-2-2220000004i−4i−2i2i−2i2i-11-1-111000000000000000000000−2i2ii−ii−i00000000000000
χ794-44-4-2-2-4422-2-222-4-4441-11-122-2-2-2-222-2-222000000−4i4i2i−2i2i−2i-11-1-1110000000000000000000002i−2i−ii−ii00000000000000
χ804-4-444-200-422-4-2422−2222−22-222-20000−2222−2222−22−2200000000000000−22−2200000−2ζ25+2ζ31−2ζ41+2ζ472ζ25−2ζ31+2ζ41−2ζ472ζ11−2ζ13−2ζ29+2ζ43−2ζ11+2ζ13+2ζ29−2ζ430000ζ25−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+ζ4300000000000000000000
χ814-4-444-200-422-4-2422−2222−22-222-20000−2222−2222−22−2200000000000000−22−22000002ζ25−2ζ31+2ζ41−2ζ47−2ζ25+2ζ31−2ζ41+2ζ47−2ζ11+2ζ13+2ζ29−2ζ432ζ11−2ζ13−2ζ29+2ζ430000−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−ζ4300000000000000000000
χ824-4-444-200-422-4-24−2222−2222-222-200002−2−2222−22222−2000000000000002−22−2000002ζ11−2ζ13−2ζ29+2ζ43−2ζ11+2ζ13+2ζ29−2ζ432ζ25−2ζ31+2ζ41−2ζ47−2ζ25+2ζ31−2ζ41+2ζ470000−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−ζ4700000000000000000000
χ834-4-444-200-422-4-24−2222−2222-222-200002−2−2222−22222−2000000000000002−22−200000−2ζ11+2ζ13+2ζ29−2ζ432ζ11−2ζ13−2ζ29+2ζ43−2ζ25+2ζ31−2ζ41+2ζ472ζ25−2ζ31+2ζ41−2ζ470000ζ11−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+ζ4700000000000000000000
χ844-4-44-24002-4-424-222−2222−22-222-2000022−22−22−2222−224-4-22-2200000000−22−22022−22000000−22−220000000000000000000000000000
χ854-4-44-24002-4-424-222−2222−22-222-2000022−22−22−2222−22-442-22-200000000−22−220−22220000002−22−20000000000000000000000000000
χ864-4-44-24002-4-424-2−2222−2222-222-20000−22222−22−2−22224-4-22-22000000002−22−20−22220000002−22−20000000000000000000000000000
χ874-4-44-24002-4-424-2−2222−2222-222-20000−22222−22−2−2222-442-22-2000000002−22−2022−22000000−22−220000000000000000000000000000
χ888888-4-4-8-8-4-4-4-4-4-400002222444400000000000000000000-2-2000000000000000000000000000000000000000000000
χ8988-8-8-4-400-4-4444442−42−424222-2-2000022−22−222222−22−2222000000000000002−2−2200000000000000000000000000000000000000000
χ9088-8-8-4-400-4-44444−424242−4222-2-20000−222222−22−222222−2200000000000000−222−200000000000000000000000000000000000000000
χ918-88-8-4-48-844-4-44400002-22-2-4-444000000000000000000002-2000000000000000000000000000000000000000000000
χ928-8-88-4-4004444-4-442−4242−422-2-220000−2222−2222−2222−2222000000000000002−22−200000000000000000000000000000000000000000
χ938-8-88-4-4004444-4-4−4242−42422-2-22000022−2222−2222−2222−2200000000000000−22−2200000000000000000000000000000000000000000

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