Finite Group Databasebeta

← Group #11799408

Character table — Group #11799408

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90
size11222222222222244444444444444444444444448888888888888888888816161616161616161616161616161616161618181818363636363636144144
order1223333446666882466668881212121212121212242424242424242466661212121224242424242424242424242448121212121212121224242424242424241616161616161616161648
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1
χ4111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111
χ5111111111111111-1-111111-1-11111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11-111111111-1-1-1-1-1-1-1-1111111-1-1-1-11-1
χ6111111111111111-1-111111-1-11111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-11
χ7111111111111111-1-111111-1-11111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-111111111111111-1-1-1-1-11
χ8111111111111111-1-111111-1-11111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111111-1
χ92222222222222-2-2222222-2-2-222222222-2-2-2-2-2-2-2-222222222-2-2-2-2-2-2-2-2-2-2-2-2000000000000000000000000000000
χ102222222222222-2-2-2-22222-22222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-222222222000000000000000000000000000000
χ112222222-2-222220000222202i−2i-2-2-2-2-2-2-2-2000000000000000000002i2i2i2i−2i−2i−2i−2i00000000000000000022−2−22−2−i2−i2i2i200
χ122222222-2-222220000222202i−2i-2-2-2-2-2-2-2-2000000000000000000002i2i2i2i−2i−2i−2i−2i000000000000000000−2−222−22i2i2−i2−i200
χ132222222-2-22222000022220−2i2i-2-2-2-2-2-2-2-200000000000000000000−2i−2i−2i−2i2i2i2i2i00000000000000000022−2−22−2i2i2−i2−i200
χ142222222-2-22222000022220−2i2i-2-2-2-2-2-2-2-200000000000000000000−2i−2i−2i−2i2i2i2i2i000000000000000000−2−222−22−i2−i2i2i200
χ152222-1-1-1222-1-1-122222-1-1-122222-1-1-1-1-1-122-1-1-1-1-1-12-1-1-12-1-1-12-1-1-12-1-1-12-1-1-12222-1-1-1-1-1-122-1-1-1-1-1-1000000000000
χ162222-1-1-1222-1-1-122222-1-1-122222-1-1-1-1-1-122-1-1-1-1-1-12-1-1-12-1-1-12-1-1-12-1-1-12-1-1-1-2-2-2-2111111-2-2111111000000000000
χ172222-1-1-1222-1-1-122-2-22-1-1-12-2-222-1-1-1-1-1-122-1-1-1-1-1-1-2111-21112-1-1-1-2111-21112-222-1-1-1-1-1-1-2-2111111000000000000
χ182222-1-1-1222-1-1-122-2-22-1-1-12-2-222-1-1-1-1-1-122-1-1-1-1-1-1-2111-21112-1-1-1-2111-2111-22-2-211111122-1-1-1-1-1-1000000000000
χ192222-1-1-1222-1-1-1-2-2222-1-1-1-2-2-222-1-1-1-1-1-1-2-21111112-1-1-12-1-1-1-2111-2111-21110000−i3−i3−i3i3i3i300−i3−i3−i3i3i3i3000000000000
χ202222-1-1-1222-1-1-1-2-2222-1-1-1-2-2-222-1-1-1-1-1-1-2-21111112-1-1-12-1-1-1-2111-2111-21110000i3i3i3−i3−i3−i300i3i3i3−i3−i3−i3000000000000
χ212222-1-1-1222-1-1-1-2-2-2-22-1-1-1-22222-1-1-1-1-1-1-2-2111111-2111-2111-21112-1-1-12-1-1-10000−i3−i3−i3i3i3i300i3i3i3−i3−i3−i3000000000000
χ222222-1-1-1222-1-1-1-2-2-2-22-1-1-1-22222-1-1-1-1-1-1-2-2111111-2111-2111-21112-1-1-12-1-1-10000i3i3i3−i3−i3−i300−i3−i3−i3i3i3i3000000000000
χ23222-12-1-122-12-1-12222-12-1-1222-1-122-1-1-1-1-1-122-1-1-1-1-12-1-1-12-1-1-12-1-1-12-1-1-12-1-122-1-12-1-12-1-1-1-12-1-12-1-1000000000000
χ24222-12-1-122-12-1-12222-12-1-1222-1-122-1-1-1-1-1-122-1-1-1-1-12-1-1-12-1-1-12-1-1-12-1-1-12-1-1-2-211-211-21111-211-211000000000000
χ25222-12-1-122-12-1-122-2-2-12-1-12-2-2-1-122-1-1-1-1-1-122-1-1-1-11-2111-211-12-1-11-2111-2112-2-1-12-1-12-1-111-211-211000000000000
χ26222-12-1-122-12-1-122-2-2-12-1-12-2-2-1-122-1-1-1-1-1-122-1-1-1-11-2111-211-12-1-11-2111-211-2211-211-211-1-12-1-12-1-1000000000000
χ27222-12-1-122-12-1-1-2-222-12-1-1-2-2-2-1-122-1-1-1-111-2-21111-12-1-1-12-1-11-2111-2111-21100−i3i30−i3i30−i3i3−i3i30−i3i30−i3i3000000000000
χ28222-12-1-122-12-1-1-2-222-12-1-1-2-2-2-1-122-1-1-1-111-2-21111-12-1-1-12-1-11-2111-2111-21100i3−i30i3−i30i3−i3i3−i30i3−i30i3−i3000000000000
χ29222-12-1-122-12-1-1-2-2-2-2-12-1-1-222-1-122-1-1-1-111-2-211111-2111-2111-211-12-1-1-12-1-100−i3i30−i3i30−i3i3i3−i30i3−i30i3−i3000000000000
χ30222-12-1-122-12-1-1-2-2-2-2-12-1-1-222-1-122-1-1-1-111-2-211111-2111-2111-211-12-1-1-12-1-100i3−i30i3−i30i3−i3−i3i30−i3i30−i3i3000000000000
χ31222-1-12-122-1-12-12222-1-12-1222-1-1-1-122-1-1-1-1-1-122-1-1-1-12-1-1-12-1-1-12-1-1-12-1-1-12-122-1-1-12-1-1-12-1-1-12-1-1-12000000000000
χ32222-1-12-122-1-12-12222-1-12-1222-1-1-1-122-1-1-1-1-1-122-1-1-1-12-1-1-12-1-1-12-1-1-12-1-1-12-1-2-2111-2111-2111-2111-2000000000000
χ33222-1-12-122-1-12-122-2-2-1-12-12-2-2-1-1-1-122-1-1-1-1-1-122-1-111-2111-21-1-12-111-2111-212-2-1-1-12-1-1-12111-2111-2000000000000
χ34222-1-12-122-1-12-122-2-2-1-12-12-2-2-1-1-1-122-1-1-1-1-1-122-1-111-2111-21-1-12-111-2111-21-22111-2111-2-1-1-12-1-1-12000000000000
χ35222-1-12-122-1-12-1-2-222-1-12-1-2-2-2-1-1-1-122-1-11111-2-211-1-12-1-1-12-111-2111-2111-2100−i3i3i30−i3−i3i30−i3i3i30−i3−i3i30000000000000
χ36222-1-12-122-1-12-1-2-222-1-12-1-2-2-2-1-1-1-122-1-11111-2-211-1-12-1-1-12-111-2111-2111-2100i3−i3−i30i3i3−i30i3−i3−i30i3i3−i30000000000000
χ37222-1-12-122-1-12-1-2-2-2-2-1-12-1-222-1-1-1-122-1-11111-2-21111-2111-2111-21-1-12-1-1-12-100−i3i3i30−i3−i3i30i3−i3−i30i3i3−i30000000000000
χ38222-1-12-122-1-12-1-2-2-2-2-1-12-1-222-1-1-1-122-1-11111-2-21111-2111-2111-21-1-12-1-1-12-100i3−i3−i30i3i3−i30−i3i3i30−i3−i3i30000000000000
χ39222-1-1-1222-1-1-122222-1-1-12222-1-1-1-1-1-122-1-1-1-1-1-122-1-1-12-1-1-12-1-1-12-1-1-12-1-1-1222-1-1-1-12-12-1-1-1-1-12-12-1000000000000
χ40222-1-1-1222-1-1-122222-1-1-12222-1-1-1-1-1-122-1-1-1-1-1-122-1-1-12-1-1-12-1-1-12-1-1-12-1-1-12-2-21111-21-211111-21-21000000000000
χ41222-1-1-1222-1-1-1222-2-2-1-1-122-2-2-1-1-1-1-1-122-1-1-1-1-1-122111-2111-2-1-1-12111-2111-22-2-1-1-1-12-12-11111-21-21000000000000
χ42222-1-1-1222-1-1-1222-2-2-1-1-122-2-2-1-1-1-1-1-122-1-1-1-1-1-122111-2111-2-1-1-12111-2111-2-221111-21-21-1-1-1-12-12-1000000000000
χ43222-1-1-1222-1-1-12-2-222-1-1-12-2-2-2-1-1-1-1-1-122111111-2-2-1-1-12-1-1-12111-2111-2111-200−i3i3−i3i30i30−i3−i3i3−i3i30i30−i3000000000000
χ44222-1-1-1222-1-1-12-2-222-1-1-12-2-2-2-1-1-1-1-1-122111111-2-2-1-1-12-1-1-12111-2111-2111-200i3−i3i3−i30−i30i3i3−i3i3−i30−i30i3000000000000
χ45222-1-1-1222-1-1-12-2-2-2-2-1-1-12-222-1-1-1-1-1-122111111-2-2111-2111-2111-2-1-1-12-1-1-1200−i3i3−i3i30i30−i3i3−i3i3−i30−i30i3000000000000
χ46222-1-1-1222-1-1-12-2-2-2-2-1-1-12-222-1-1-1-1-1-122111111-2-2111-2111-2111-2-1-1-12-1-1-1200i3−i3i3−i30−i30i3−i3i3−i3i30i30−i3000000000000
χ4722-222222-222222200-2-2-2-2-2002-22-22-22-22222222200000000-2-2-2-2000000000000000000000000002222-2-2000000
χ4822-222222-222222200-2-2-2-2-2002-22-22-22-22222222200000000-2-2-2-200000000000000000000000000-2-2-2-222000000
χ4922-222222-22222-2-200-2-2-2-22002-22-22-22-2-2-2-2-2-2-2-2-2000000002222000000000000000000000000000000002i−2i2i−2i00
χ5022-222222-22222-2-200-2-2-2-22002-22-22-22-2-2-2-2-2-2-2-2-200000000222200000000000000000000000000000000−2i2i−2i2i00
χ5122-22222-222222002-2-2-2-2-2000-22-22-22-22000000002222-2-2-2-200000000000000000000000000000022−2−2−222−2−2200
χ5222-22222-222222002-2-2-2-2-2000-22-22-22-22000000002222-2-2-2-2000000000000000000000000000000−2−2222−2−222−200
χ5322-22222-22222200-22-2-2-2-2000-22-22-22-2200000000-2-2-2-2222200000000000000000000000000000022−2−2−22−222−200
χ5422-22222-22222200-22-2-2-2-2000-22-22-22-2200000000-2-2-2-22222000000000000000000000000000000−2−2222−22−2−2200
χ554444-2-2-2-4-44-2-2-200004-2-2-204i−4i-4-4222222000000000000000000004i−2i−2i−2i−4i2i2i2i000000000000000000000000000000
χ564444-2-2-2-4-44-2-2-200004-2-2-20−4i4i-4-422222200000000000000000000−4i2i2i2i4i−2i−2i−2i000000000000000000000000000000
χ57444-24-2-2-4-4-24-2-20000-24-2-204i−4i22-4-4222200000000000000000000−2i4i−2i−2i2i−4i2i2i000000000000000000000000000000
χ58444-24-2-2-4-4-24-2-20000-24-2-20−4i4i22-4-42222000000000000000000002i−4i2i2i−2i4i−2i−2i000000000000000000000000000000
χ59444-2-24-2-4-4-2-24-20000-2-24-204i−4i2222-4-42200000000000000000000−2i−2i4i−2i2i2i−4i2i000000000000000000000000000000
χ60444-2-24-2-4-4-2-24-20000-2-24-20−4i4i2222-4-422000000000000000000002i2i−4i2i−2i−2i4i−2i000000000000000000000000000000
χ61444-2-2-24-4-4-2-2-240000-2-2-2404i−4i222222-4-400000000000000000000−2i−2i−2i4i2i2i2i−4i000000000000000000000000000000
χ62444-2-2-24-4-4-2-2-240000-2-2-240−4i4i222222-4-4000000000000000000002i2i2i−4i−2i−2i−2i4i000000000000000000000000000000
χ6344-44-2-2-24-44-2-2-24400-4222-4004-4-22-22-2244-2-2-2-2-2-200000000-422200000000000000000000000000000000000000
χ6444-44-2-2-24-44-2-2-2-4-400-42224004-4-22-22-22-4-4222222000000004-2-2-200000000000000000000000000000000000000
χ6544-44-2-2-2-444-2-2-2004-4-4222000-442-22-22-2000000004-2-2-2-4222000000000000000000000000000000000000000000
χ6644-44-2-2-2-444-2-2-200-44-4222000-442-22-22-200000000-42224-2-2-2000000000000000000000000000000000000000000
χ6744-4-24-2-24-4-24-2-244002-422-400-224-4-22-22-2-244-2-2-2-2000000002-42200000000000000000000000000000000000000
χ6844-4-24-2-24-4-24-2-2-4-4002-422400-224-4-22-2222-4-4222200000000-24-2-200000000000000000000000000000000000000
χ6944-4-24-2-2-44-24-2-2004-42-4220002-2-442-22-200000000-24-2-22-422000000000000000000000000000000000000000000
χ7044-4-24-2-2-44-24-2-200-442-4220002-2-442-22-2000000002-422-24-2-2000000000000000000000000000000000000000000
χ7144-4-2-24-24-4-2-24-2440022-42-400-22-224-4-22-2-2-2-244-2-20000000022-4200000000000000000000000000000000000000
χ7244-4-2-24-24-4-2-24-2-4-40022-42400-22-224-4-222222-4-42200000000-2-24-200000000000000000000000000000000000000
χ7344-4-2-24-2-44-2-24-2004-422-420002-22-2-442-200000000-2-24-222-42000000000000000000000000000000000000000000
χ7444-4-2-24-2-44-2-24-200-4422-420002-22-2-442-20000000022-42-2-24-2000000000000000000000000000000000000000000
χ7544-4-2-2-244-4-2-2-244400222-4-400-22-22-224-4-2-2-2-2-2-24400000000222-400000000000000000000000000000000000000
χ7644-4-2-2-244-4-2-2-24-4-400222-4400-22-22-224-4222222-4-400000000-2-2-2400000000000000000000000000000000000000
χ7744-4-2-2-24-44-2-2-24004-4222-40002-22-22-2-4400000000-2-2-24222-4000000000000000000000000000000000000000000
χ7844-4-2-2-24-44-2-2-2400-44222-40002-22-22-2-4400000000222-4-2-2-24000000000000000000000000000000000000000000
χ794-40444400-4-4-4-422−220000000000000000022−2222−2222−2222−2200000000000000000000000000000000000000−2ζ25+2ζ31−2ζ41+2ζ472ζ25−2ζ31+2ζ41−2ζ472ζ11−2ζ13−2ζ29+2ζ43−2ζ11+2ζ13+2ζ29−2ζ4300000000
χ804-40444400-4-4-4-422−220000000000000000022−2222−2222−2222−22000000000000000000000000000000000000002ζ25−2ζ31+2ζ41−2ζ47−2ζ25+2ζ31−2ζ41+2ζ47−2ζ11+2ζ13+2ζ29−2ζ432ζ11−2ζ13−2ζ29+2ζ4300000000
χ814-40444400-4-4-4-4−222200000000000000000−2222−2222−2222−2222000000000000000000000000000000000000002ζ11−2ζ13−2ζ29+2ζ43−2ζ11+2ζ13+2ζ29−2ζ432ζ25−2ζ31+2ζ41−2ζ47−2ζ25+2ζ31−2ζ41+2ζ4700000000
χ824-40444400-4-4-4-4−222200000000000000000−2222−2222−2222−222200000000000000000000000000000000000000−2ζ11+2ζ13+2ζ29−2ζ432ζ11−2ζ13−2ζ29+2ζ43−2ζ25+2ζ31−2ζ41+2ζ472ζ25−2ζ31+2ζ41−2ζ4700000000
χ838-808-4-4-400-844442−420000000000000000042−42−2222−2222−222200000000000000000000000000000000000000000000000000
χ848-808-4-4-400-8444−424200000000000000000−424222−2222−2222−2200000000000000000000000000000000000000000000000000
χ858-80-48-4-4004-84442−4200000000000000000−222242−42−2222−222200000000000000000000000000000000000000000000000000
χ868-80-48-4-4004-844−42420000000000000000022−22−424222−2222−2200000000000000000000000000000000000000000000000000
χ878-80-4-48-40044-8442−4200000000000000000−2222−222242−42−222200000000000000000000000000000000000000000000000000
χ888-80-4-48-40044-84−42420000000000000000022−2222−22−424222−2200000000000000000000000000000000000000000000000000
χ898-80-4-4-4800444-842−4200000000000000000−2222−2222−222242−4200000000000000000000000000000000000000000000000000
χ908-80-4-4-4800444-8−42420000000000000000022−2222−2222−22−424200000000000000000000000000000000000000000000000000

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