Finite Group Databasebeta

← Group #11798422

Character table — Group #11798422

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87
size1122222222222224444444444444444444444488888888888888888888816161616161616161616161616161616161636363636727272727272
order122333344666688246666812121212121212122424242424242424666681212121224242424242424242424242448121212121212121224242424242424241616161622241616
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111
χ411111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1
χ5111111111111111-1-1111111111111111111111-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11-111111111-1-1-1-1-1-1-1-1111111-1-1-1-1
χ6111111111111111-1-1111111111111111111111-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ7111111111111111-1-1111111111111111111111-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-1111111111111-1-111-1-1
χ8111111111111111-1-1111111111111111111111-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-111111111-1-1-1-111-1-111
χ92222222222222-2-2222222-222222222-2-2-2-2-2-2-2-22222-22222-2-2-2-2-2-2-2-2-2-2-2-20000000000000000000000000000
χ102222222222222-2-2-2-22222-222222222-2-2-2-2-2-2-2-2-2-2-2-22-2-2-2-2-2-2-2-2222222220000000000000000000000000000
χ112222-1-1-1222-1-1-122222-1-1-1222-1-1-1-1-1-122-1-1-1-1-1-12-1-1-122-1-1-12-1-1-122-1-1-1-1-1-12222-1-1-1-1-1-122-1-1-1-1-1-10000000000
χ122222-1-1-1222-1-1-122222-1-1-1222-1-1-1-1-1-122-1-1-1-1-1-12-1-1-122-1-1-12-1-1-122-1-1-1-1-1-1-2-2-2-2111111-2-21111110000000000
χ132222-1-1-1222-1-1-122-2-22-1-1-1222-1-1-1-1-1-122-1-1-1-1-1-1-2111-2-21112-1-1-1-2-21111112-222-1-1-1-1-1-1-2-21111110000000000
χ142222-1-1-1222-1-1-122-2-22-1-1-1222-1-1-1-1-1-122-1-1-1-1-1-1-2111-2-21112-1-1-1-2-2111111-22-2-211111122-1-1-1-1-1-10000000000
χ152222-1-1-1222-1-1-1-2-2222-1-1-1-222-1-1-1-1-1-1-2-21111112-1-1-1-22-1-1-1-2111-2-21111110000−i3−i3−i3i3i3i300−i3−i3−i3i3i3i30000000000
χ162222-1-1-1222-1-1-1-2-2222-1-1-1-222-1-1-1-1-1-1-2-21111112-1-1-1-22-1-1-1-2111-2-21111110000i3i3i3−i3−i3−i300i3i3i3−i3−i3−i30000000000
χ172222-1-1-1222-1-1-1-2-2-2-22-1-1-1-222-1-1-1-1-1-1-2-2111111-21112-2111-211122-1-1-1-1-1-10000−i3−i3−i3i3i3i300i3i3i3−i3−i3−i30000000000
χ182222-1-1-1222-1-1-1-2-2-2-22-1-1-1-222-1-1-1-1-1-1-2-2111111-21112-2111-211122-1-1-1-1-1-10000i3i3i3−i3−i3−i300−i3−i3−i3i3i3i30000000000
χ19222-12-1-122-12-1-12222-12-1-12-1-122-1-1-1-1-1-122-1-1-1-1-12-1-12-12-1-1-12-1-1-1-122-1-1-1-122-1-12-1-12-1-1-1-12-1-12-1-10000000000
χ20222-12-1-122-12-1-12222-12-1-12-1-122-1-1-1-1-1-122-1-1-1-1-12-1-12-12-1-1-12-1-1-1-122-1-1-1-1-2-211-211-21111-211-2110000000000
χ21222-12-1-122-12-1-122-2-2-12-1-12-1-122-1-1-1-1-1-122-1-1-1-11-211-21-211-12-1-111-2-211112-2-1-12-1-12-1-111-211-2110000000000
χ22222-12-1-122-12-1-122-2-2-12-1-12-1-122-1-1-1-1-1-122-1-1-1-11-211-21-211-12-1-111-2-21111-2211-211-211-1-12-1-12-1-10000000000
χ23222-12-1-122-12-1-1-2-222-12-1-1-2-1-122-1-1-1-111-2-21111-12-1-1-2-12-1-11-21111-2-2111100−i3i30−i3i30−i3i3−i3i30−i3i30−i3i30000000000
χ24222-12-1-122-12-1-1-2-222-12-1-1-2-1-122-1-1-1-111-2-21111-12-1-1-2-12-1-11-21111-2-2111100i3−i30i3−i30i3−i3i3−i30i3−i30i3−i30000000000
χ25222-12-1-122-12-1-1-2-2-2-2-12-1-1-2-1-122-1-1-1-111-2-211111-21121-2111-211-1-122-1-1-1-100−i3i30−i3i30−i3i3i3−i30i3−i30i3−i30000000000
χ26222-12-1-122-12-1-1-2-2-2-2-12-1-1-2-1-122-1-1-1-111-2-211111-21121-2111-211-1-122-1-1-1-100i3−i30i3−i30i3−i3−i3i30−i3i30−i3i30000000000
χ27222-1-12-122-1-12-12222-1-12-12-1-1-1-122-1-1-1-1-1-122-1-1-1-12-12-1-12-1-1-12-1-1-1-1-122-1-122-1-1-12-1-1-12-1-1-12-1-1-120000000000
χ28222-1-12-122-1-12-12222-1-12-12-1-1-1-122-1-1-1-1-1-122-1-1-1-12-12-1-12-1-1-12-1-1-1-1-122-1-1-2-2111-2111-2111-2111-20000000000
χ29222-1-12-122-1-12-122-2-2-1-12-12-1-1-1-122-1-1-1-1-1-122-1-111-21-211-21-1-12-11111-2-2112-2-1-1-12-1-1-12111-2111-20000000000
χ30222-1-12-122-1-12-122-2-2-1-12-12-1-1-1-122-1-1-1-1-1-122-1-111-21-211-21-1-12-11111-2-211-22111-2111-2-1-1-12-1-1-120000000000
χ31222-1-12-122-1-12-1-2-222-1-12-1-2-1-1-1-122-1-11111-2-211-1-12-1-2-1-12-111-211111-2-21100−i3i3i30−i3−i3i30−i3i3i30−i3−i3i300000000000
χ32222-1-12-122-1-12-1-2-222-1-12-1-2-1-1-1-122-1-11111-2-211-1-12-1-2-1-12-111-211111-2-21100i3−i3−i30i3i3−i30i3−i3−i30i3i3−i300000000000
χ33222-1-12-122-1-12-1-2-2-2-2-1-12-1-2-1-1-1-122-1-11111-2-21111-21211-2111-21-1-1-1-122-1-100−i3i3i30−i3−i3i30i3−i3−i30i3i3−i300000000000
χ34222-1-12-122-1-12-1-2-2-2-2-1-12-1-2-1-1-1-122-1-11111-2-21111-21211-2111-21-1-1-1-122-1-100i3−i3−i30i3i3−i30−i3i3i30−i3−i3i300000000000
χ35222-1-1-1222-1-1-122222-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-122-1-1-12-1-1-12-1-1-1-1-1-12222-1-1-1-12-12-1-1-1-1-12-12-10000000000
χ36222-1-1-1222-1-1-122222-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-122-1-1-12-1-1-12-1-1-1-1-1-122-2-21111-21-211111-21-210000000000
χ37222-1-1-1222-1-1-1222-2-2-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122111-2-2111-2-1-1-12111111-2-22-2-1-1-1-12-12-11111-21-210000000000
χ38222-1-1-1222-1-1-1222-2-2-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122111-2-2111-2-1-1-12111111-2-2-221111-21-21-1-1-1-12-12-10000000000
χ39222-1-1-1222-1-1-12-2-222-1-1-12-2-1-1-1-1-1-122111111-2-2-1-1-12-2-1-1-12111-2111111-2-200−i3i3−i3i30i30−i3−i3i3−i3i30i30−i30000000000
χ40222-1-1-1222-1-1-12-2-222-1-1-12-2-1-1-1-1-1-122111111-2-2-1-1-12-2-1-1-12111-2111111-2-200i3−i3i3−i30−i30i3i3−i3i3−i30−i30i30000000000
χ41222-1-1-1222-1-1-12-2-2-2-2-1-1-12-2-1-1-1-1-1-122111111-2-2111-22111-2111-2-1-1-1-1-1-12200−i3i3−i3i30i30−i3i3−i3i3−i30−i30i30000000000
χ42222-1-1-1222-1-1-12-2-2-2-2-1-1-12-2-1-1-1-1-1-122111111-2-2111-22111-2111-2-1-1-1-1-1-12200i3−i3i3−i30−i30i3−i3i3−i3i30i30−i30000000000
χ4322-222222-22222002-2-2-2-2-202-22-22-22-20000000022220-2-2-2-200000000000000000000000000000022−2−200002−2
χ4422-222222-22222002-2-2-2-2-202-22-22-22-20000000022220-2-2-2-2000000000000000000000000000000−2−2220000−22
χ4522-222222-2222200-22-2-2-2-202-22-22-22-200000000-2-2-2-20222200000000000000000000000000000022−2−20000−22
χ4622-222222-2222200-22-2-2-2-202-22-22-22-200000000-2-2-2-202222000000000000000000000000000000−2−22200002−2
χ4722-22222-2222222200-2-2-2-2-2-22-22-22-2222222222000000000-2-2-2-2000000000000000000000000000000002-200
χ4822-22222-2222222200-2-2-2-2-2-22-22-22-2222222222000000000-2-2-2-200000000000000000000000000000000-2200
χ4922-22222-222222-2-200-2-2-2-22-22-22-22-22-2-2-2-2-2-2-2-200000000022220000000000000000000000000000002-20000
χ5022-22222-222222-2-200-2-2-2-22-22-22-22-22-2-2-2-2-2-2-2-20000000002222000000000000000000000000000000-220000
χ514444444-4-44444000044440-4-4-4-4-4-4-4-4000000000000000000000000000000000000000000000000000000000
χ524444-2-2-2-4-44-2-2-200004-2-2-20-4-42222220000000000000000000000023−2323−2323−230000000000000000000000000000
χ534444-2-2-2-4-44-2-2-200004-2-2-20-4-422222200000000000000000000000−2323−2323−23230000000000000000000000000000
χ54444-24-2-2-4-4-24-2-20000-24-2-2022-4-4222200000000000000000000023−230023−23−23230000000000000000000000000000
χ55444-24-2-2-4-4-24-2-20000-24-2-2022-4-42222000000000000000000000−232300−232323−230000000000000000000000000000
χ56444-2-24-2-4-4-2-24-20000-2-24-202222-4-42200000000000000000000023−23−23230023−230000000000000000000000000000
χ57444-2-24-2-4-4-2-24-20000-2-24-202222-4-422000000000000000000000−232323−2300−23230000000000000000000000000000
χ58444-2-2-24-4-4-2-2-240000-2-2-240222222-4-400000000000000000000023−2323−23−2323000000000000000000000000000000
χ59444-2-2-24-4-4-2-2-240000-2-2-240222222-4-4000000000000000000000−2323−232323−23000000000000000000000000000000
χ6044-44-2-2-24-44-2-2-2004-4-422204-4-22-22-22000000004-2-2-20-42220000000000000000000000000000000000000000
χ6144-44-2-2-24-44-2-2-200-44-422204-4-22-22-2200000000-422204-2-2-20000000000000000000000000000000000000000
χ6244-44-2-2-2-444-2-2-24400-4222-4-442-22-22-244-2-2-2-2-2-2000000000-4222000000000000000000000000000000000000
χ6344-44-2-2-2-444-2-2-2-4-400-42224-442-22-22-2-4-42222220000000004-2-2-2000000000000000000000000000000000000
χ6444-4-24-2-24-4-24-2-2004-42-4220-224-4-22-2200000000-24-2-202-4220000000000000000000000000000000000000000
χ6544-4-24-2-24-4-24-2-200-442-4220-224-4-22-22000000002-4220-24-2-20000000000000000000000000000000000000000
χ6644-4-24-2-2-44-24-2-244002-422-42-2-442-22-2-2-244-2-2-2-20000000002-422000000000000000000000000000000000000
χ6744-4-24-2-2-44-24-2-2-4-4002-42242-2-442-22-222-4-42222000000000-24-2-2000000000000000000000000000000000000
χ6844-4-2-24-24-4-2-24-2004-422-420-22-224-4-2200000000-2-24-2022-420000000000000000000000000000000000000000
χ6944-4-2-24-24-4-2-24-200-4422-420-22-224-4-220000000022-420-2-24-20000000000000000000000000000000000000000
χ7044-4-2-24-2-44-2-24-2440022-42-42-22-2-442-2-2-2-2-244-2-200000000022-42000000000000000000000000000000000000
χ7144-4-2-24-2-44-2-24-2-4-40022-4242-22-2-442-22222-4-422000000000-2-24-2000000000000000000000000000000000000
χ7244-4-2-2-244-4-2-2-24004-4222-40-22-22-224-400000000-2-2-240222-40000000000000000000000000000000000000000
χ7344-4-2-2-244-4-2-2-2400-44222-40-22-22-224-400000000222-40-2-2-240000000000000000000000000000000000000000
χ7444-4-2-2-24-44-2-2-244400222-4-42-22-22-2-44-2-2-2-2-2-244000000000222-4000000000000000000000000000000000000
χ7544-4-2-2-24-44-2-2-24-4-400222-442-22-22-2-44222222-4-4000000000-2-2-24000000000000000000000000000000000000
χ764-40444400-4-4-4-422−2200000000000000022−2222−2222−2222−22000000000000000000000000000000000000000ζ11+ζ13−ζ25+ζ29−ζ31−ζ41+ζ43−ζ47−ζ11−ζ13+ζ25−ζ29+ζ31+ζ41−ζ43+ζ47ζ11+ζ13+ζ25+ζ29+ζ31+ζ41+ζ43+ζ47−ζ11−ζ13−ζ25−ζ29−ζ31−ζ41−ζ43−ζ47000000
χ774-40444400-4-4-4-422−2200000000000000022−2222−2222−2222−22000000000000000000000000000000000000000−ζ11−ζ13+ζ25−ζ29+ζ31+ζ41−ζ43+ζ47ζ11+ζ13−ζ25+ζ29−ζ31−ζ41+ζ43−ζ47−ζ11−ζ13−ζ25−ζ29−ζ31−ζ41−ζ43−ζ47ζ11+ζ13+ζ25+ζ29+ζ31+ζ41+ζ43+ζ47000000
χ784-40444400-4-4-4-4−2222000000000000000−2222−2222−2222−2222000000000000000000000000000000000000000ζ11+ζ13+ζ25+ζ29+ζ31+ζ41+ζ43+ζ47−ζ11−ζ13−ζ25−ζ29−ζ31−ζ41−ζ43−ζ47−ζ11−ζ13+ζ25−ζ29+ζ31+ζ41−ζ43+ζ47ζ11+ζ13−ζ25+ζ29−ζ31−ζ41+ζ43−ζ47000000
χ794-40444400-4-4-4-4−2222000000000000000−2222−2222−2222−2222000000000000000000000000000000000000000−ζ11−ζ13−ζ25−ζ29−ζ31−ζ41−ζ43−ζ47ζ11+ζ13+ζ25+ζ29+ζ31+ζ41+ζ43+ζ47ζ11+ζ13−ζ25+ζ29−ζ31−ζ41+ζ43−ζ47−ζ11−ζ13+ζ25−ζ29+ζ31+ζ41−ζ43+ζ47000000
χ808-808-4-4-400-844442−4200000000000000042−42−2222−2222−22220000000000000000000000000000000000000000000000000
χ818-808-4-4-400-8444−4242000000000000000−424222−2222−2222−220000000000000000000000000000000000000000000000000
χ828-80-48-4-4004-84442−42000000000000000−222242−42−2222−22220000000000000000000000000000000000000000000000000
χ838-80-48-4-4004-844−424200000000000000022−22−424222−2222−220000000000000000000000000000000000000000000000000
χ848-80-4-48-40044-8442−42000000000000000−2222−222242−42−22220000000000000000000000000000000000000000000000000
χ858-80-4-48-40044-84−424200000000000000022−2222−22−424222−220000000000000000000000000000000000000000000000000
χ868-80-4-4-4800444-842−42000000000000000−2222−2222−222242−420000000000000000000000000000000000000000000000000
χ878-80-4-4-4800444-8−424200000000000000022−2222−2222−22−42420000000000000000000000000000000000000000000000000

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