Finite Group Databasebeta

← Group #11923331

Character table — Group #11923331

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69
size112224444444444666688888888121212121212121216161616161616161616161618182424242424242432323232363636484848484848
order1234633446681224242244336612121212222468812121212121212242424242424246666121224121212122486612122424
χ1111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111-11-11111111111-1-111-11111111111111-1-111-1-1-1-111111-1-1-1-1-1-1-1-1-1
χ311111111-111-11-1-1111111111-1111-11-11-1-1111-1-111-1-1-1-1-1-1111-11111-111-1-1-11-111-1-1-1-1
χ411111111-111-11-1-11-11-111111-1111-1-111-11111-1-111-1-1-1-1-1-1-1-11-1-1-1-1-1-111-1-11-11-1-11111
χ51111111-1111-11-1-111111111-1111-11-111-1-11-1-11111-1-1-1-1-1-111-111111-1-1-1111-1-1-1-111-1-1
χ61111111-1111-11-1-11-11-11111-1111-111-11-111-1-11111-1-1-1-1-1-1-1-1-11-1-1-1-1-1-1-111-11111-1-111
χ71111111-1-111111111111111-1-111-1-1-1-11111-1-1-1-11111111111-1-111111-1-1-1-1-1-11-1-1-1-111
χ81111111-1-11111111-11-11111-1-111-1-11111-11-1-1-1-111111111-1-1-1-1-1-1-1-11-1-1-1-111-11111-1-1
χ911111−1−i32−1+i3211−1−i32−1+i3211111111−1−i32−1+i32−1−i32−1+i3211−1−i32−1+i3211111111−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i321111−1−i32−1+i32−1−i32−1+i321−1−i32−1+i32−1−i32−1+i32111−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32
χ1011111−1−i32−1+i3211−1−i32−1+i3211111-11-1−1−i32−1+i32−1−i32−1+i3211−1−i32−1+i3211-1-111-11−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32-1-1111+i321−i321+i321−i321−1−i32−1+i32−1−i32−1+i32-1-1-11+i321−i321+i321−i321+i321−i32
χ1111111−1−i32−1+i321-1−1−i32−1+i32-11-1-11111−1−i32−1+i32−1−i32−1+i321-1−1−i32−1+i321-11-11-1-11−1−i32−1+i321+i321−i32−1−i32−1+i321+i321−i321+i321+i321−i321−i32111-1−1−i32−1+i32−1−i32−1+i32-1−1−i32−1+i321+i321−i32-11-1−1−i32−1+i321+i321−i321+i321−i32
χ1211111−1−i32−1+i321-1−1−i32−1+i32-11-1-11-11-1−1−i32−1+i32−1−i32−1+i321-1−1−i32−1+i321-1-111-111−1−i32−1+i321+i321−i32−1−i32−1+i321+i321−i321+i321+i321−i321−i32-1-11-11+i321−i321+i321−i32-1−1−i32−1+i321+i321−i321-111+i321−i32−1−i32−1+i32−1−i32−1+i32
χ1311111−1−i32−1+i32-11−1−i32−1+i32-11-1-11111−1−i32−1+i32−1−i32−1+i32-11−1−i32−1+i32-11-111-1-111+i321−i32−1−i32−1+i32−1−i32−1+i321+i321−i321+i321+i321−i321−i3211-11−1−i32−1+i32−1−i32−1+i32-11+i321−i32−1−i32−1+i321-1-11+i321−i32−1−i32−1+i321+i321−i32
χ1411111−1−i32−1+i32-11−1−i32−1+i32-11-1-11-11-1−1−i32−1+i32−1−i32−1+i32-11−1−i32−1+i32-111-11-1111+i321−i32−1−i32−1+i32−1−i32−1+i321+i321−i321+i321+i321−i321−i32-1-1-111+i321−i321+i321−i32-11+i321−i32−1−i32−1+i32-111−1−i32−1+i321+i321−i32−1−i32−1+i32
χ1511111−1−i32−1+i32-1-1−1−i32−1+i3211111111−1−i32−1+i32−1−i32−1+i32-1-1−1−i32−1+i32-1-1-1-111111+i321−i321+i321−i32−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i3211-1-1−1−i32−1+i32−1−i32−1+i3211+i321−i321+i321−i32-1-111+i321−i321+i321−i32−1−i32−1+i32
χ1611111−1−i32−1+i32-1-1−1−i32−1+i3211111-11-1−1−i32−1+i32−1−i32−1+i32-1-1−1−i32−1+i32-1-11111-111+i321−i321+i321−i32−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32-1-1-1-11+i321−i321+i321−i3211+i321−i321+i321−i3211-1−1−i32−1+i32−1−i32−1+i321+i321−i32
χ1711111−1+i32−1−i3211−1+i32−1−i3211111111−1+i32−1−i32−1+i32−1−i3211−1+i32−1−i3211111111−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i321111−1+i32−1−i32−1+i32−1−i321−1+i32−1−i32−1+i32−1−i32111−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32
χ1811111−1+i32−1−i3211−1+i32−1−i3211111-11-1−1+i32−1−i32−1+i32−1−i3211−1+i32−1−i3211-1-111-11−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32-1-1111−i321+i321−i321+i321−1+i32−1−i32−1+i32−1−i32-1-1-11−i321+i321−i321+i321−i321+i32
χ1911111−1+i32−1−i321-1−1+i32−1−i32-11-1-11111−1+i32−1−i32−1+i32−1−i321-1−1+i32−1−i321-11-11-1-11−1+i32−1−i321−i321+i32−1+i32−1−i321−i321+i321−i321−i321+i321+i32111-1−1+i32−1−i32−1+i32−1−i32-1−1+i32−1−i321−i321+i32-11-1−1+i32−1−i321−i321+i321−i321+i32
χ2011111−1+i32−1−i321-1−1+i32−1−i32-11-1-11-11-1−1+i32−1−i32−1+i32−1−i321-1−1+i32−1−i321-1-111-111−1+i32−1−i321−i321+i32−1+i32−1−i321−i321+i321−i321−i321+i321+i32-1-11-11−i321+i321−i321+i32-1−1+i32−1−i321−i321+i321-111−i321+i32−1+i32−1−i32−1+i32−1−i32
χ2111111−1+i32−1−i32-11−1+i32−1−i32-11-1-11111−1+i32−1−i32−1+i32−1−i32-11−1+i32−1−i32-11-111-1-111−i321+i32−1+i32−1−i32−1+i32−1−i321−i321+i321−i321−i321+i321+i3211-11−1+i32−1−i32−1+i32−1−i32-11−i321+i32−1+i32−1−i321-1-11−i321+i32−1+i32−1−i321−i321+i32
χ2211111−1+i32−1−i32-11−1+i32−1−i32-11-1-11-11-1−1+i32−1−i32−1+i32−1−i32-11−1+i32−1−i32-111-11-1111−i321+i32−1+i32−1−i32−1+i32−1−i321−i321+i321−i321−i321+i321+i32-1-1-111−i321+i321−i321+i32-11−i321+i32−1+i32−1−i32-111−1+i32−1−i321−i321+i32−1+i32−1−i32
χ2311111−1+i32−1−i32-1-1−1+i32−1−i3211111111−1+i32−1−i32−1+i32−1−i32-1-1−1+i32−1−i32-1-1-1-111111−i321+i321−i321+i32−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i3211-1-1−1+i32−1−i32−1+i32−1−i3211−i321+i321−i321+i32-1-111−i321+i321−i321+i32−1+i32−1−i32
χ2411111−1+i32−1−i32-1-1−1+i32−1−i3211111-11-1−1+i32−1−i32−1+i32−1−i32-1-1−1+i32−1−i32-1-11111-111−i321+i321−i321+i32−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32-1-1-1-11−i321+i321−i321+i3211−i321+i321−i321+i3211-1−1+i32−1−i32−1+i32−1−i321−i321+i32
χ25222-222200220-200-222-2222200-2-20000-20020000-2-2000000-220022-2-200000000000000
χ26222-222200220-200-2-222222200-2-20000-20020000-2-20000002-200-2-22200000000000000
χ27222-22−1−i3−1+i300−1−i3−1+i30-200-222-2−1−i3−1+i3−1−i3−1+i3001+i31−i30000-200200001+i31−i3000000-2200−1−i3−1+i31+i31−i300000000000000
χ28222-22−1−i3−1+i300−1−i3−1+i30-200-2-222−1−i3−1+i3−1−i3−1+i3001+i31−i30000-200200001+i31−i30000002-2001+i31−i3−1−i3−1+i300000000000000
χ29222-22−1+i3−1−i300−1+i3−1−i30-200-222-2−1+i3−1−i3−1+i3−1−i3001−i31+i30000-200200001−i31+i3000000-2200−1+i3−1−i31−i31+i300000000000000
χ30222-22−1+i3−1−i300−1+i3−1−i30-200-2-222−1+i3−1−i3−1+i3−1−i3001−i31+i30000-200200001−i31+i30000002-2001−i31+i3−1+i3−1−i300000000000000
χ3122-12-12222222-1-1-12020-1-1-1-1-1-1222200-120-12222-1-122-1-1-1-100-1-10000-1-1-1-1-1000000000
χ3222-12-1222-222-2-1112020-1-1-1-1-11222-200-1-20-122-2-2-1-1-2-2111100-1100001-1-111000000000
χ3322-12-122-2222-2-1112020-1-1-1-11-122-2200-1-20-1-2-222-1-1-2-21111001-10000111-1-1000000000
χ3422-12-122-2-2222-1-1-12020-1-1-1-11122-2-200-120-1-2-2-2-2-1-122-1-1-1-100110000-11111000000000
χ3522-12-1−1−i3−1+i322−1−i3−1+i32-1-1-120201+i321−i321+i321−i32-1-1−1−i3−1+i32200-120-1−1−i3−1+i3−1−i3−1+i31+i321−i32−1−i3−1+i31+i321+i321−i321−i3200-1-10000-11+i321−i321+i321−i32000000000
χ3622-12-1−1−i3−1+i32-2−1−i3−1+i3-2-11120201+i321−i321+i321−i32-11−1−i3−1+i32-200-1-20-1−1−i3−1+i31+i31−i31+i321−i321+i31−i3−1−i32−1−i32−1+i32−1+i3200-11000011+i321−i32−1−i32−1+i32000000000
χ3722-12-1−1−i3−1+i3-22−1−i3−1+i3-2-11120201+i321−i321+i321−i321-1−1−i3−1+i3-2200-1-20-11+i31−i3−1−i3−1+i31+i321−i321+i31−i3−1−i32−1−i32−1+i32−1+i32001-100001−1−i32−1+i321+i321−i32000000000
χ3822-12-1−1−i3−1+i3-2-2−1−i3−1+i32-1-1-120201+i321−i321+i321−i3211−1−i3−1+i3-2-200-120-11+i31−i31+i31−i31+i321−i32−1−i3−1+i31+i321+i321−i321−i3200110000-1−1−i32−1+i32−1−i32−1+i32000000000
χ3922-12-1−1+i3−1−i322−1+i3−1−i32-1-1-120201−i321+i321−i321+i32-1-1−1+i3−1−i32200-120-1−1+i3−1−i3−1+i3−1−i31−i321+i32−1+i3−1−i31−i321−i321+i321+i3200-1-10000-11−i321+i321−i321+i32000000000
χ4022-12-1−1+i3−1−i32-2−1+i3−1−i3-2-11120201−i321+i321−i321+i32-11−1+i3−1−i32-200-1-20-1−1+i3−1−i31−i31+i31−i321+i321−i31+i3−1+i32−1+i32−1−i32−1−i3200-11000011−i321+i32−1+i32−1−i32000000000
χ4122-12-1−1+i3−1−i3-22−1+i3−1−i3-2-11120201−i321+i321−i321+i321-1−1+i3−1−i3-2200-1-20-11−i31+i3−1+i3−1−i31−i321+i321−i31+i3−1+i32−1+i32−1−i32−1−i32001-100001−1+i32−1−i321−i321+i32000000000
χ4222-12-1−1+i3−1−i3-2-2−1+i3−1−i32-1-1-120201−i321+i321−i321+i3211−1+i3−1−i3-2-200-120-11−i31+i31−i31+i31−i321+i32−1+i3−1−i31−i321−i321+i321+i3200110000-1−1+i32−1−i32−1+i32−1−i32000000000
χ43333330033003333-13-1300003300-1-133-1-13-1000000000000-1-1-1-10000-10000-1-1-1000000
χ44333330033003333-1-3-1-300003300-1-1-3-3-1-1-3-100000000000011-1-10000-10000111000000
χ4533333003-300-33-3-3-13-1300003-300-113-3-11-3-1000000000000-1-1-110000100001-11000000
χ4633333003-300-33-3-3-1-3-1-300003-300-11-33-113-100000000000011-11000010000-11-1000000
χ473333300-3300-33-3-3-13-130000-33001-1-33-11-3-1000000000000-1-11-1000010000-111000000
χ483333300-3300-33-3-3-1-3-1-30000-33001-13-3-113-1000000000000111-10000100001-1-1000000
χ493333300-3-3003333-13-130000-3-30011-3-3-1-13-1000000000000-1-1110000-1000011-1000000
χ503333300-3-3003333-1-3-1-30000-3-3001133-1-1-3-100000000000011110000-10000-1-11000000
χ5144-2-4-24400440200-4040-2-2-2-200-4-40000200-20000220000000000000000000000000000
χ5244-2-4-2−2−2i3−2+2i300−2−2i3−2+2i30200-40401+i31−i31+i31−i3002+2i32−2i30000200-20000−1−i3−1+i30000000000000000000000000000
χ5344-2-4-2−2+2i3−2−2i300−2+2i3−2−2i30200-40401−i31+i31−i31+i3002−2i32+2i30000200-20000−1+i3−1−i30000000000000000000000000000
χ54666-660000000-60026-2-6000000000000200-20000000000002-200000000000000000000
χ55666-660000000-6002-6-26000000000000200-2000000000000-2200000000000000000000
χ5666-36-30066006-3-3-3-20-200000-3-300-2-2001-2010000000000000011000010000000000000
χ5766-36-3006-600-6-333-20-200000-3300-22001201000000000000001-10000-10000000000000
χ5866-36-300-6600-6-333-20-2000003-3002-200120100000000000000-110000-10000000000000
χ5966-36-300-6-6006-3-3-3-20-200000330022001-20100000000000000-1-1000010000000000000
χ608-880-8-4-4004400000000-4-4440000000000000000000000000000000000000000000000
χ618-880-82+2i32−2i300−2−2i3−2+2i3000000002+2i32−2i3−2−2i3−2+2i30000000000000000000000000000000000000000000000
χ628-880-82−2i32+2i300−2+2i3−2−2i3000000002−2i32+2i3−2+2i3−2−2i30000000000000000000000000000000000000000000000
χ638-8-404-4-40044002i6−2i6000022-2-200000000000000000000i6−i6i6−i60000000000000000000000
χ648-8-404-4-4004400−2i62i6000022-2-200000000000000000000−i6i6−i6i60000000000000000000000
χ658-8-4042+2i32−2i300−2−2i3−2+2i3002i6−2i60000−1−i3−1+i31+i31−i300000000000000000000−2ζ5+ζ7−ζ13+2ζ232ζ5−ζ7+ζ13−2ζ23ζ5−2ζ7+2ζ13−ζ23−ζ5+2ζ7−2ζ13+ζ230000000000000000000000
χ668-8-4042+2i32−2i300−2−2i3−2+2i300−2i62i60000−1−i3−1+i31+i31−i3000000000000000000002ζ5−ζ7+ζ13−2ζ23−2ζ5+ζ7−ζ13+2ζ23−ζ5+2ζ7−2ζ13+ζ23ζ5−2ζ7+2ζ13−ζ230000000000000000000000
χ678-8-4042−2i32+2i300−2+2i3−2−2i3002i6−2i60000−1+i3−1−i31−i31+i300000000000000000000ζ5−2ζ7+2ζ13−ζ23−ζ5+2ζ7−2ζ13+ζ23−2ζ5+ζ7−ζ13+2ζ232ζ5−ζ7+ζ13−2ζ230000000000000000000000
χ688-8-4042−2i32+2i300−2+2i3−2−2i300−2i62i60000−1+i3−1−i31−i31+i300000000000000000000−ζ5+2ζ7−2ζ13+ζ23ζ5−2ζ7+2ζ13−ζ232ζ5−ζ7+ζ13−2ζ23−2ζ5+ζ7−ζ13+2ζ230000000000000000000000
χ691212-6-12-6000000060040-40000000000000-20020000000000000000000000000000000000

Here ζ is a primitive root of unity of order 24 (ζ24 = 1); i = ζ6.