Finite Group Databasebeta

← Group #11798437

Character table — Group #11798437

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87
size1122222222222224444444444444444444448888888888888888888888881616161616161616161616161616161616363636363636727272144
order12233334466668866668121212121212121224242424242424242216162424242448484848484848484848484848484848666666668242424242424242424161616162484
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-111-1-1-1-1111-1
χ411111111111111111111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-11111-1-1-11
χ5111111111111111111111111111111111111-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-11-1
χ6111111111111111111111111111111111111-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-11
χ7111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111-1-1-1-1-1-111
χ8111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1111111-1-1
χ92222222222222-2-22222-222222222-2-2-2-2-2-2-2-20000-2-2-2-200000000000000000000000000000000022000000-20
χ102222222222222-2-22222-222222222-2-2-2-2-2-2-2-20000-2-2-2-2000000000000000000000000000000000-2-200000020
χ112222-1-1-1222-1-1-1222-1-1-122-1-1-12-1-1-122-1-1-1-1-1-122222-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-1222-1-1-1-1-1-10000000000
χ122222-1-1-1222-1-1-1222-1-1-122-1-1-12-1-1-122-1-1-1-1-1-122-2-22-1-1-1-2-2-2-211111111111122-1-1-1-1-1-1-2-2-21111110000000000
χ132222-1-1-1222-1-1-1222-1-1-122-1-1-12-1-1-122-1-1-1-1-1-1-2-2222-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-2111111-2-2-21111110000000000
χ142222-1-1-1222-1-1-1222-1-1-122-1-1-12-1-1-122-1-1-1-1-1-1-2-2-2-22-1-1-1-2-2-2-2111111111111-2-2111111222-1-1-1-1-1-10000000000
χ15222-12-1-122-12-1-122-12-1-12-12-1-1-12-1-1-1-122-1-1-1-12222-12-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-122-1-1-1-12-1-122-1-1-1-10000000000
χ16222-12-1-122-12-1-122-12-1-12-12-1-1-12-1-1-1-122-1-1-1-122-2-2-12-1-11111-2-2-2-211111111-1-122-1-1-1-1-211-2-211110000000000
χ17222-12-1-122-12-1-122-12-1-12-12-1-1-12-1-1-1-122-1-1-1-1-2-222-12-1-1-1-1-1-12222-1-1-1-1-1-1-1-111-2-21111-211-2-211110000000000
χ18222-12-1-122-12-1-122-12-1-12-12-1-1-12-1-1-1-122-1-1-1-1-2-2-2-2-12-1-11111-2-2-2-21111111111-2-211112-1-122-1-1-1-10000000000
χ19222-1-12-122-1-12-122-1-12-12-1-12-1-1-12-1-1-1-1-122-1-12222-1-12-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-122-1-12-1-1-1-122-1-10000000000
χ20222-1-12-122-1-12-122-1-12-12-1-12-1-1-12-1-1-1-1-122-1-122-2-2-1-12-111111111-2-2-2-21111-1-1-1-122-1-1-21111-2-2110000000000
χ21222-1-12-122-1-12-122-1-12-12-1-12-1-1-12-1-1-1-1-122-1-1-2-222-1-12-1-1-1-1-1-1-1-1-12222-1-1-1-11111-2-211-21111-2-2110000000000
χ22222-1-12-122-1-12-122-1-12-12-1-12-1-1-12-1-1-1-1-122-1-1-2-2-2-2-1-12-111111111-2-2-2-211111111-2-2112-1-1-1-122-1-10000000000
χ23222-1-1-1222-1-1-1222-1-1-122-1-1-12-1-1-12-1-1-1-1-1-1222222-1-1-12-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1222-1-1-1-1-1-1220000000000
χ24222-1-1-1222-1-1-1222-1-1-122-1-1-12-1-1-12-1-1-1-1-1-12222-2-2-1-1-12111111111111-2-2-2-2-1-1-1-1-1-122-2111111-2-20000000000
χ25222-1-1-1222-1-1-1222-1-1-122-1-1-12-1-1-12-1-1-1-1-1-122-2-222-1-1-12-1-1-1-1-1-1-1-1-1-1-1-12222111111-2-2-2111111-2-20000000000
χ26222-1-1-1222-1-1-1222-1-1-122-1-1-12-1-1-12-1-1-1-1-1-122-2-2-2-2-1-1-12111111111111-2-2-2-2111111-2-22-1-1-1-1-1-1220000000000
χ2722-222222-2222200-2-2-2-20-2-2-2-2222200000000002−2000022−2−222−2−222−2−222−2−2000000000000000002-222−2−20000
χ2822-222222-2222200-2-2-2-20-2-2-2-2222200000000002−2000022−2−222−2−222−2−222−2−200000000000000000-22−2−2220000
χ2922-222222-2222200-2-2-2-20-2-2-2-222220000000000−220000−2−222−2−222−2−222−2−222000000000000000002-2−2−2220000
χ3022-222222-2222200-2-2-2-20-2-2-2-222220000000000−220000−2−222−2−222−2−222−2−22200000000000000000-2222−2−20000
χ3122-22222-22222222-2-2-2-2-22222-2-2-2-2222222220000-2-2-2-20000000000000000000000000000000000000002-200
χ3222-22222-22222222-2-2-2-2-22222-2-2-2-2222222220000-2-2-2-2000000000000000000000000000000000000000-2200
χ3322-22222-222222-2-2-2-2-2-222222-2-2-2-2-2-2-2-2-2-2-2-22-200222200000000000000002-22-22-22-20000000000000000000
χ3422-22222-222222-2-2-2-2-2-222222-2-2-2-2-2-2-2-2-2-2-2-2-220022220000000000000000-22-22-22-220000000000000000000
χ3522-22-1-1-1-222-1-1-1-2-2-211122-1-1-1-2111-2-21111112-2002-1-1-100003−33−33−33−33−33−32-2-11-11-110003−33−33−30000000000
χ3622-22-1-1-1-222-1-1-1-2-2-211122-1-1-1-2111-2-21111112-2002-1-1-10000−33−33−33−33−33−332-2-11-11-11000−33−33−330000000000
χ3722-22-1-1-1-222-1-1-1-2-2-211122-1-1-1-2111-2-2111111-22002-1-1-100003−33−33−33−33−33−3-221-11-11-1000−33−33−330000000000
χ3822-22-1-1-1-222-1-1-1-2-2-211122-1-1-1-2111-2-2111111-22002-1-1-10000−33−33−33−33−33−33-221-11-11-10003−33−33−30000000000
χ3922-2-12-1-1-22-12-1-1-2-21-2112-12-1-11-21111-2-211112-200-12-1-13−33−300003−33−3−33−33-112-2-11-1103−3003−3−330000000000
χ4022-2-12-1-1-22-12-1-1-2-21-2112-12-1-11-21111-2-211112-200-12-1-1−33−330000−33−333−33−3-112-2-11-110−3300−333−30000000000
χ4122-2-12-1-1-22-12-1-1-2-21-2112-12-1-11-21111-2-21111-2200-12-1-13−33−300003−33−3−33−331-1-221-11-10−3300−333−30000000000
χ4222-2-12-1-1-22-12-1-1-2-21-2112-12-1-11-21111-2-21111-2200-12-1-1−33−330000−33−333−33−31-1-221-11-103−3003−3−330000000000
χ4322-2-1-12-1-22-1-12-1-2-211-212-1-12-111-211111-2-2112-200-1-12-13−33−3−33−3300003−33−3-11-112-2-1103−3−33003−30000000000
χ4422-2-1-12-1-22-1-12-1-2-211-212-1-12-111-211111-2-2112-200-1-12-1−33−333−33−30000−33−33-11-112-2-110−333−300−330000000000
χ4522-2-1-12-1-22-1-12-1-2-211-212-1-12-111-211111-2-211-2200-1-12-13−33−3−33−3300003−33−31-11-1-221-10−333−300−330000000000
χ4622-2-1-12-1-22-1-12-1-2-211-212-1-12-111-211111-2-211-2200-1-12-1−33−333−33−30000−33−331-11-1-221-103−3−33003−30000000000
χ4722-2-1-1-12-22-1-1-12-2-2111-22-1-1-12111-2111111-2-22-200-1-1-123−33−33−33−3−33−330000-11-11-112-203−33−3−33000000000000
χ4822-2-1-1-12-22-1-1-12-2-2111-22-1-1-12111-2111111-2-22-200-1-1-12−33−33−33−333−33−30000-11-11-112-20−33−333−3000000000000
χ4922-2-1-1-12-22-1-1-12-2-2111-22-1-1-12111-2111111-2-2-2200-1-1-123−33−33−33−3−33−3300001-11-11-1-220−33−333−3000000000000
χ5022-2-1-1-12-22-1-1-12-2-2111-22-1-1-12111-2111111-2-2-2200-1-1-12−33−33−33−333−33−300001-11-11-1-2203−33−3−33000000000000
χ514444444-4-444440044440-4-4-4-4-4-4-4-400000000000000000000000000000000000000000000000000000000000
χ524444-2-2-2444-2-2-2-4-44-2-2-2-44-2-2-24-2-2-2-4-42222220000-42220000000000000000000000000000000000000000000
χ534444-2-2-2-4-44-2-2-2004-2-2-20-4222-4222000000000000000000006−6−666−6−666−6−66000000000000000000000000000
χ544444-2-2-2-4-44-2-2-2004-2-2-20-4222-422200000000000000000000−666−6−666−6−666−6000000000000000000000000000
χ55444-24-2-244-24-2-2-4-4-24-2-2-4-24-2-2-24-2-222-4-4222200002-4220000000000000000000000000000000000000000000
χ56444-24-2-2-4-4-24-2-200-24-2-202-4222-42200000000000000006−6−6600006−6−66−666−6000000000000000000000000000
χ57444-24-2-2-4-4-24-2-200-24-2-202-4222-4220000000000000000−666−60000−666−66−6−66000000000000000000000000000
χ58444-2-24-244-2-24-2-4-4-2-24-2-4-2-24-2-2-24-22222-4-422000022-420000000000000000000000000000000000000000000
χ59444-2-24-2-4-4-2-24-200-2-24-2022-4222-4200000000000000006−6−66−666−600006−6−66000000000000000000000000000
χ60444-2-24-2-4-4-2-24-200-2-24-2022-4222-420000000000000000−666−66−6−660000−666−6000000000000000000000000000
χ61444-2-2-2444-2-2-24-4-4-2-2-24-4-2-2-24-2-2-24222222-4-40000222-40000000000000000000000000000000000000000000
χ62444-2-2-24-4-4-2-2-2400-2-2-240222-4222-400000000000000006−6−666−6−66−666−60000000000000000000000000000000
χ63444-2-2-24-4-4-2-2-2400-2-2-240222-4222-40000000000000000−666−6−666−66−6−660000000000000000000000000000000
χ6444-44-2-2-24-44-2-2-200-42220-42224-2-2-2000000000022−2200002222−22−22−2−222−2−222−2−222000000000000000000000000000
χ6544-44-2-2-24-44-2-2-200-42220-42224-2-2-20000000000−22220000−22−22222222−2−222−2−222−2−2000000000000000000000000000
χ6644-44-2-2-2-444-2-2-244-4222-44-2-2-2-422244-2-2-2-2-2-20000-42220000000000000000000000000000000000000000000
χ6744-4-24-2-24-4-24-2-2002-42202-422-24-2-2000000000022−220000−2−2222222−22−22−2−222−2−222000000000000000000000000000
χ6844-4-24-2-24-4-24-2-2002-42202-422-24-2-20000000000−2222000022−2−2−22−22222222−2−222−2−2000000000000000000000000000
χ6944-4-24-2-2-44-24-2-2442-422-4-24-2-22-422-2-244-2-2-2-200002-4220000000000000000000000000000000000000000000
χ7044-4-2-24-24-4-2-24-20022-42022-42-2-24-2000000000022−220000−2−222−2−2222222−22−22−2−222000000000000000000000000000
χ7144-4-2-24-24-4-2-24-20022-42022-42-2-24-20000000000−2222000022−2−222−2−2−22−22222222−2−2000000000000000000000000000
χ7244-4-2-24-2-44-2-24-24422-42-4-2-24-222-42-2-2-2-244-2-2000022-420000000000000000000000000000000000000000000
χ7344-4-2-2-244-4-2-2-2400222-40222-4-2-2-24000000000022−220000−2−222−2−222−2−2222222−22−22000000000000000000000000000
χ7444-4-2-2-244-4-2-2-2400222-40222-4-2-2-240000000000−2222000022−2−222−2−222−2−2−22−222222000000000000000000000000000
χ7544-4-2-2-24-44-2-2-2444222-4-4-2-2-24222-4-2-2-2-2-2-2440000222-40000000000000000000000000000000000000000000
χ764-40444400-4-4-4-422−22000000000000022−2222−2222−2222−220000000000000000000000000000000000000000000ζ11+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+ζ470000
χ774-40444400-4-4-4-422−22000000000000022−2222−2222−2222−220000000000000000000000000000000000000000000−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−ζ470000
χ784-40444400-4-4-4-4−22220000000000000−2222−2222−2222−22220000000000000000000000000000000000000000000ζ11+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+ζ470000
χ794-40444400-4-4-4-4−22220000000000000−2222−2222−2222−22220000000000000000000000000000000000000000000−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−ζ470000
χ808-808-4-4-400-844442−42000000000000042−42−2222−2222−2222000000000000000000000000000000000000000000000000000
χ818-808-4-4-400-8444−42420000000000000−424222−2222−2222−22000000000000000000000000000000000000000000000000000
χ828-80-48-4-4004-84442−420000000000000−222242−42−2222−2222000000000000000000000000000000000000000000000000000
χ838-80-48-4-4004-844−4242000000000000022−22−424222−2222−22000000000000000000000000000000000000000000000000000
χ848-80-4-48-40044-8442−420000000000000−2222−222242−42−2222000000000000000000000000000000000000000000000000000
χ858-80-4-48-40044-84−4242000000000000022−2222−22−424222−22000000000000000000000000000000000000000000000000000
χ868-80-4-4-4800444-842−420000000000000−2222−2222−222242−42000000000000000000000000000000000000000000000000000
χ878-80-4-4-4800444-8−4242000000000000022−2222−2222−22−4242000000000000000000000000000000000000000000000000000

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