Finite Group Databasebeta

← Group #11798168

Character table — Group #11798168

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87
size111122222222222222444444444444444488888812121212121212121212121212121212121212121212121216161616161616161618182424242436363648484848144
order12223344666666888836661212121224242424242424241212242424241616161616161616484848484848484848484848484848484121212121212121222222248866664
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-111-1-1-1-1111-1-1-1-1-1
χ311111111111111111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1111111111-1-111-1-1-1-1-111-1-1-1
χ411111111111111111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1111
χ51111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111111111111111111-1-1-1-111-1-1-1-1-111-1
χ61111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-111-1-11
χ71111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111-1-1-1-1111-1-1-1-11
χ81111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111-1
χ922222222222222-2-2-2-222222222-2-2-2-2-2-2-2-222-2-2-2-20000000000000000000000000000000002200002-2-200000
χ1022222222222222-2-2-2-222222222-2-2-2-2-2-2-2-222-2-2-2-2000000000000000000000000000000000-2-20000-22200000
χ11222222-2-222222200002222-2-2-2-200000000-2-2000022−2−222−2−22222−2−2−2−22222−2−2−2−2000000000220000-20000000
χ12222222-2-222222200002222-2-2-2-200000000-2-2000022−2−2−2−2222222−2−2−2−2−2−2−2−22222000000000-2-2000020000000
χ13222222-2-222222200002222-2-2-2-200000000-2-20000−2−22222−2−2−2−2−2−222222222−2−2−2−2000000000-2-2000020000000
χ14222222-2-222222200002222-2-2-2-200000000-2-20000−2−222−2−222−2−2−2−22222−2−2−2−22222000000000220000-20000000
χ1522222-12222-1-12-12222-1-1-1-12-12-122-1-122-1-1-1-1-1-1-1-10000222200000000-1-1-1-1-1-1-1-1222-1-1-1-1-1-100002200000-1-10
χ1622222-12222-1-12-12222-1-1-1-12-12-122-1-122-1-1-1-1-1-1-1-10000222200000000-1-1-1-1-1-1-1-1-2-2-21111110000-2-200000110
χ1722222-12222-1-12-12222-1-1-1-12-12-122-1-122-1-1-1-1-1-1-1-10000-2-2-2-20000000011111111222-1-1-1-1-1-10000-2-200000110
χ1822222-12222-1-12-12222-1-1-1-12-12-122-1-122-1-1-1-1-1-1-1-10000-2-2-2-20000000011111111-2-2-211111100002200000-1-10
χ192222-1222-1-122-122222-1-1-1-1-12-12-1-122-1-122-1-1-1-1-1-122220000-1-1-1-1-1-1-1-1000000002-1-122-1-1-1-1002200000-1-1000
χ202222-1222-1-122-122222-1-1-1-1-12-12-1-122-1-122-1-1-1-1-1-122220000-1-1-1-1-1-1-1-100000000-211-2-2111100-2-20000011000
χ212222-1222-1-122-122222-1-1-1-1-12-12-1-122-1-122-1-1-1-1-1-1-2-2-2-2000011111111000000002-1-122-1-1-1-100-2-20000011000
χ222222-1222-1-122-122222-1-1-1-1-12-12-1-122-1-122-1-1-1-1-1-1-2-2-2-200001111111100000000-211-2-21111002200000-1-1000
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χ3022-2-222002-22-2-2-2−2−22222-2-20000−22−22−22−2200−2−222−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−ζ43−ζ11−ζ13−ζ29−ζ43ζ11+ζ13+ζ29+ζ43ζ11+ζ13+ζ29+ζ43−ζ25−ζ31−ζ41−ζ47−ζ25−ζ31−ζ41−ζ47ζ25+ζ31+ζ41+ζ47ζ25+ζ31+ζ41+ζ47−ζ11−ζ13−ζ29−ζ43−ζ11−ζ13−ζ29−ζ43ζ11+ζ13+ζ29+ζ43ζ11+ζ13+ζ29+ζ43−ζ25−ζ31−ζ41−ζ47−ζ25−ζ31−ζ41−ζ47ζ25+ζ31+ζ41+ζ47ζ25+ζ31+ζ41+ζ470000000002-200000−2200000
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χ362-22-22-1-22-2-2112-12-22-2-111-1-212-12211-2-2-1-11-1-11-110000000000000000−i3i3−i3i3−i3i3−i3i3000i3−i3i3i3−i3−i30000-22000001-10
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χ422-22-2-12-2211-2-2-12-22-22-111-11-2-121122-1-1-2-21-11-11-100000000i3−i3i3−i3i3−i3i3−i3000000000i3−i300i3−i3i3−i3002-200000-11000
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χ724-4-444400-44-44-4-422−22−22224-44-4000022−22−2222−222222−220022−22−222200000000000000000000000000000000000000000000000
χ734-4-444400-44-44-4-4−222222−224-44-40000−222222−2222−22−222200−222222−2200000000000000000000000000000000000000000000000
χ744-4-444-200-442-2-4222−22−2222-22-22000022−222−2−2222−2200−222−20000000000000000−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+ζ4300000000000000000000000
χ754-4-444-200-442-2-4222−22−2222-22-22000022−222−2−2222−2200−222−20000000000000000ζ25+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−ζ4300000000000000000000000
χ764-4-444-200-442-2-42−222222−22-22-220000−2222−2222−222−2002−2−220000000000000000−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−ζ4700000000000000000000000
χ774-4-444-200-442-2-42−222222−22-22-220000−2222−2222−222−2002−2−220000000000000000ζ11−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+ζ4700000000000000000000000
χ784-4-44-24002-2-442-422−22−2222-22-220000−22−22222−222−2200−222−200000000−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−ζ470000000000000000000000000000000
χ794-4-44-24002-2-442-422−22−2222-22-220000−22−22222−222−2200−222−200000000ζ11−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+ζ470000000000000000000000000000000
χ804-4-44-24002-2-442-4−222222−22-22-2200002−222−22−22−2222002−2−2200000000−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+ζ430000000000000000000000000000000
χ814-4-44-24002-2-442-4−222222−22-22-2200002−222−22−22−2222002−2−2200000000ζ25+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−ζ430000000000000000000000000000000
χ828888-4-4-8-8-4-4-4-4-4-400002222444400000000-2-2000000000000000000000000000000000000000000000000000
χ8388-8-8-4-400-44-44444242−42−4222-2-20000−2222−2222−2222−22220022−2−200000000000000000000000000000000000000000000000
χ8488-8-8-4-400-44-4444−42−42424222-2-2000022−2222−2222−2222−2200−2−22200000000000000000000000000000000000000000000000
χ858-88-8-4-48-84444-4-400002-2-22-4-444000000002-2000000000000000000000000000000000000000000000000000
χ868-8-88-4-4004-44-44442−42−42422-22-20000−222222−2222−22−2222002−2−2200000000000000000000000000000000000000000000000
χ878-8-88-4-4004-44-444−424242−422-22-2000022−22−2222−222222−2200−222−200000000000000000000000000000000000000000000000

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