Finite Group Databasebeta

← Group #11799785

Character table — Group #11799785

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87
size111122222222222222444444444444444488888888121212121212121212121212121212121212121212121212161616161616161618183636364848484848487272
order1222334466666688883666121212122424242424242424441212242424241616161616161616484848484848484848484848484848481212121212121212224882466121244
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
χ1522222-1222-12-1-122222-1-1-1-12-12-122-1-122-1-122-1-1-1-1-1-122220000-1-1-1-1-1-1-1-100000000-1-122-1-1-1-10000020-1-10000
χ1622222-1222-12-1-122222-1-1-1-12-12-122-1-122-1-122-1-1-1-1-1-1-2-2-2-200001111111100000000-1-122-1-1-1-100000-20110000
χ1722222-1222-12-1-122222-1-1-1-12-12-122-1-122-1-1-2-2-1-1-1-1-1-122220000-1-1-1-1-1-1-1-10000000011-2-2111100000-20110000
χ1822222-1222-12-1-122222-1-1-1-12-12-122-1-122-1-1-2-2-1-1-1-1-1-1-2-2-2-20000111111110000000011-2-211110000020-1-10000
χ192222-1222-12-122-12222-1-1-1-1-12-12-1-122-1-12222-1-1-1-1-1-10000222200000000-1-1-1-1-1-1-1-122-1-1-1-1-1-1000000200-1-100
χ202222-1222-12-122-12222-1-1-1-1-12-12-1-122-1-12222-1-1-1-1-1-10000-2-2-2-2000000001111111122-1-1-1-1-1-1000000-2001100
χ212222-1222-12-122-12222-1-1-1-1-12-12-1-122-1-122-2-2-1-1-1-1-1-10000222200000000-1-1-1-1-1-1-1-1-2-2111111000000-2001100
χ222222-1222-12-122-12222-1-1-1-1-12-12-1-122-1-122-2-2-1-1-1-1-1-10000-2-2-2-20000000011111111-2-2111111000000200-1-100
χ232-22-222-22-2-222-2-222-2-22-22-2-2-22222-2-2-2-22200-2222-2-200000000000000000000000000000000000000000002i−2i
χ242-22-222-22-2-222-2-222-2-22-22-2-2-22222-2-2-2-22200-2222-2-20000000000000000000000000000000000000000000−2i2i
χ252-22-222-22-2-222-2-2-2-2222-22-2-2-222-2-22222-2-22i−2i-22-2-2220000000000000000000000002i−2i2i−2i2i2i−2i−2i0000000000000
χ262-22-222-22-2-222-2-2-2-2222-22-2-2-222-2-22222-2-2−2i2i-22-2-222000000000000000000000000−2i2i−2i2i−2i−2i2i2i0000000000000
χ272-22-22-1-22-212-11-2-2-222-11-11-212-1-2-2-1-122112i−2i1-111-1-10000000033−3−333−3−300000000−ii2i−2i−i−iii0000000−i3i30000
χ282-22-22-1-22-212-11-2-2-222-11-11-212-1-2-2-1-122112i−2i1-111-1-100000000−3−333−3−33300000000−ii2i−2i−i−iii0000000i3−i30000
χ292-22-22-1-22-212-11-2-2-222-11-11-212-1-2-2-1-12211−2i2i1-111-1-10000000033−3−333−3−300000000i−i−2i2iii−i−i0000000i3−i30000
χ302-22-22-1-22-212-11-2-2-222-11-11-212-1-2-2-1-12211−2i2i1-111-1-100000000−3−333−3−33300000000i−i−2i2iii−i−i0000000−i3i30000
χ312-22-2-12-221-2-12-21-2-222-11-111-2-121122-1-1-2-22i−2i1-111-1-10000000000000000−i3−i3i3i3−i3−i3i3i32i−2i−ii−i−iii0000000003−300
χ322-22-2-12-221-2-12-21-2-222-11-111-2-121122-1-1-2-22i−2i1-111-1-10000000000000000i3i3−i3−i3i3i3−i3−i32i−2i−ii−i−iii000000000−3300
χ332-22-2-12-221-2-12-21-2-222-11-111-2-121122-1-1-2-2−2i2i1-111-1-10000000000000000−i3−i3i3i3−i3−i3i3i3−2i2ii−iii−i−i000000000−3300
χ342-22-2-12-221-2-12-21-2-222-11-111-2-121122-1-1-2-2−2i2i1-111-1-10000000000000000i3i3−i3−i3i3i3−i3−i3−2i2ii−iii−i−i0000000003−300
χ352-2-222200-2-2-2-2222−22−22-2-2200002−22−22−22−200002−22−2−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−ζ43−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−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−ζ43000000002-202−200000000
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χ372-2-222200-2-2-2-2222−22−22-2-2200002−22−22−22−200002−22−2ζ25−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−ζ43ζ25−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−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−ζ4300000000-220−2200000000
χ382-2-222200-2-2-2-2222−22−22-2-2200002−22−22−22−200002−22−2ζ25−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+ζ43ζ25−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+ζ43ζ25−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+ζ43000000002-202−200000000
χ392-2-222200-2-2-2-222−22−222-2-220000−22−22−22−220000−22−22ζ11−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+ζ47ζ11−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+ζ47ζ11−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+ζ47000000002-20−2200000000
χ402-2-222200-2-2-2-222−22−222-2-220000−22−22−22−220000−22−22ζ11−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−ζ47ζ11−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−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−ζ4700000000-2202−200000000
χ412-2-222200-2-2-2-222−22−222-2-220000−22−22−22−220000−22−22−ζ11+ζ13+ζ29−ζ43ζ11−ζ13−ζ29+ζ43−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+ζ43−ζ11+ζ13+ζ29−ζ43ζ11−ζ13−ζ29+ζ43−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−ζ43ζ25−ζ31+ζ41−ζ47−ζ25+ζ31−ζ41+ζ47ζ25−ζ31+ζ41−ζ47−ζ25+ζ31−ζ41+ζ4700000000-2202−200000000
χ422-2-222200-2-2-2-222−22−222-2-220000−22−22−22−220000−22−22−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−ζ47−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−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−ζ47000000002-20−2200000000
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χ714-44-4-2-2-4422-2-22244-4-41-11-122-2-2-2-22222-2-200-1111-1-10000000000000000000000000000−3i3i3i−3i0000000000000
χ724-44-4-2-2-4422-2-222-4-4441-11-122-2-222-2-2-2-2224i−4i-11-1-111000000000000000000000000−2i2i−2i2iii−i−i0000000000000
χ734-44-4-2-2-4422-2-222-4-4441-11-122-2-222-2-2-2-222−4i4i-11-1-1110000000000000000000000002i−2i2i−2i−i−iii0000000000000
χ744-4-444-200-42-42-2422−2222−22-222-2000022−22−2222−22−220000−22−22−2ζ25+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+ζ4300000000000000000000000000000
χ754-4-444-200-42-42-2422−2222−22-222-2000022−22−2222−22−220000−22−222ζ25−2ζ31+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−ζ4300000000000000000000000000000
χ764-4-444-200-42-42-24−2222−2222-222-20000−22222−2−22222−200002−22−22ζ11−2ζ13−2ζ29+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−ζ4700000000000000000000000000000
χ774-4-444-200-42-42-24−2222−2222-222-20000−22222−2−22222−200002−22−2−2ζ11+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+ζ4700000000000000000000000000000
χ784-4-44-24002-42-44-222−2222−22-222-20000−2222−22−2222−220000−22−220000−2ζ25+2ζ31−2ζ41+2ζ472ζ25−2ζ31+2ζ41−2ζ472ζ11−2ζ13−2ζ29+2ζ43−2ζ11+2ζ13+2ζ29−2ζ4300000000ζ25−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+ζ43000000000000000000000
χ794-4-44-24002-42-44-222−2222−22-222-20000−2222−22−2222−220000−22−2200002ζ25−2ζ31+2ζ41−2ζ47−2ζ25+2ζ31−2ζ41+2ζ47−2ζ11+2ζ13+2ζ29−2ζ432ζ11−2ζ13−2ζ29+2ζ4300000000−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−ζ43000000000000000000000
χ804-4-44-24002-42-44-2−2222−2222-222-200002−2−22222−2−222200002−22−200002ζ11−2ζ13−2ζ29+2ζ43−2ζ11+2ζ13+2ζ29−2ζ432ζ25−2ζ31+2ζ41−2ζ47−2ζ25+2ζ31−2ζ41+2ζ4700000000−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−ζ47000000000000000000000
χ814-4-44-24002-42-44-2−2222−2222-222-200002−2−22222−2−222200002−22−20000−2ζ11+2ζ13+2ζ29−2ζ432ζ11−2ζ13−2ζ29+2ζ43−2ζ25+2ζ31−2ζ41+2ζ472ζ25−2ζ31+2ζ41−2ζ4700000000ζ11−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+ζ47000000000000000000000
χ828888-4-4-8-8-4-4-4-4-4-40000222244440000000000-2-20000000000000000000000000000000000000000000000000
χ8388-8-8-4-400-4-4444442−42−424222-2-20000−222222−2222−22−222200002−2−22000000000000000000000000000000000000000000000
χ8488-8-8-4-400-4-44444−424242−4222-2-2000022−22−2222−222222−220000−222−2000000000000000000000000000000000000000000000
χ858-88-8-4-48-844-4-44400002-22-2-4-44400000000002-20000000000000000000000000000000000000000000000000
χ868-8-88-4-4004444-4-442−4242−422-2-220000−2222−2222−2222−222200002−22−2000000000000000000000000000000000000000000000
χ878-8-88-4-4004444-4-4−4242−42422-2-22000022−2222−2222−2222−220000−22−22000000000000000000000000000000000000000000000

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