Finite Group Databasebeta

← Group #11754108

Character table — Group #11754108

Order 960.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75
size1122222224444444444444466666666888888888888810101212121212121212161616162020202020242424243030404040606060
order123455610104481215152020303040404040248810101010121220202020246060120120120120244420204040404060606060246812202020202461224248
χ1111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111-1-1111111111111-1-1-1-1-11111-1-1-1-1-1-1-1-1
χ311111111111111111111111-1-1-1-1-1-1-1-1111111111111111-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1111-1-1-1
χ411111111111111111111111-1-1-1-1-1-1-1-11111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-111-1-1-1111
χ51111111111-1-11111111-1-1-1-111-1-111111-111-1-1-111-1-1-1-1111-111-1-1-1-111-1-11-11-1111-1-1111-1-1-11-1
χ61111111111-1-11111111-1-1-1-111-1-111111-111-1-1-111-1-1-1-1-1-11-111-1-1-1-111-1-1-11-11-111-1-1-1-1-1111-11
χ71111111111-1-11111111-1-1-1-1-1-111-1-1-1-11-111-1-1-111-1-1-1-111-11-1-1111111-1-11-11-11-1-111-1-11-1-11-11
χ81111111111-1-11111111-1-1-1-1-1-111-1-1-1-11-111-1-1-111-1-1-1-1-1-1-11-1-1111111-1-1-11-11-1-1-11111-111-11-1
χ9111111111-11-11111111-1-1-1-111-1-11111-11-1-111-111-1-1-1-111-1111-1-1-1-1-1-111-111-11-1-11111-11-11-1-1
χ10111111111-11-11111111-1-1-1-111-1-11111-11-1-111-111-1-1-1-1-1-1-1111-1-1-1-1-1-1111-1-11-1-1-111-1-11-11-111
χ11111111111-11-11111111-1-1-1-1-1-111-1-1-1-1-11-1-111-111-1-1-1-1111-1-1-11111-1-111-111-1111-1-1-1-1-11-1-111
χ12111111111-11-11111111-1-1-1-1-1-111-1-1-1-1-11-1-111-111-1-1-1-1-1-11-1-1-11111-1-1111-1-11-111-1-1111-111-1-1
χ13111111111-1-111111111111111111111-1-1-1-1-1-1111111111-1-1111111-1-1-1-1-1-1111-1-1-1-111-1-11-1-11
χ14111111111-1-111111111111111111111-1-1-1-1-1-11111111-1-1-1-1111111-1-1-1-111-1-1-1-1-1-1-1-1-111-111-1
χ15111111111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111-1-1-1-1111-1
χ16111111111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111-1-111-1-1-1-1-1-1-1-1-1-111-1-1-111111111-1-1-11
χ172222−1+52−1−522−1+52−1−522222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−522222−1+52−1+52−1−52−1−5222−1+52−1−52−1+52−1−522−1+52−1−52−1+52−1+52−1−52−1−520022−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−5200000−1+52−1−52−1+52−1−5200000000
χ182222−1+52−1−522−1+52−1−522222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52-2-2-2-21−521−521+521+5222−1+52−1−52−1+52−1−522−1+52−1−52−1+52−1+52−1−52−1−5200-2-21−521+521−521−521+521+52−1+52−1−52−1+52−1−52000001−521+521−521+5200000000
χ192222−1+52−1−522−1+52−1−522-2-22−1+52−1−52−1+52−1−52−1+52−1−521−521−521+521+5222-2-2−1+52−1+52−1−52−1−522-2−1+52−1−521−521+52-2−1+52−1−521−521−521+521+52002-2−1+52−1−521−521−521+521+52−1+52−1−521−521+5200000−1+52−1−521−521+5200000000
χ202222−1+52−1−522−1+52−1−522-2-22−1+52−1−52−1+52−1−52−1+52−1−521−521−521+521+52-2-2221−521−521+521+522-2−1+52−1−521−521+52-2−1+52−1−521−521−521+521+5200-221−521+52−1+52−1+52−1−52−1−52−1+52−1−521−521+52000001−521+52−1+52−1−5200000000
χ212222−1+52−1−522−1+52−1−52-22-22−1+52−1−52−1+52−1−52−1+52−1−521−521−521+521+5222-2-2−1+52−1+52−1−52−1−52-221−521+52−1+52−1−52-2−1+52−1−521−521−521+521+5200-22−1+52−1−521−521−521+521+521−521+52−1+52−1−52000001−521+52−1+52−1−5200000000
χ222222−1+52−1−522−1+52−1−52-22-22−1+52−1−52−1+52−1−52−1+52−1−521−521−521+521+52-2-2221−521−521+521+52-221−521+52−1+52−1−52-2−1+52−1−521−521−521+521+52002-21−521+52−1+52−1+52−1−52−1−521−521+52−1+52−1−5200000−1+52−1−521−521+5200000000
χ232222−1+52−1−522−1+52−1−52-2-222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−522222−1+52−1+52−1−52−1−52-2-21−521+521−521+522−1+52−1−52−1+52−1+52−1−52−1−5200-2-2−1+52−1−52−1+52−1+52−1−52−1−521−521+521−521+52000001−521+521−521+5200000000
χ242222−1+52−1−522−1+52−1−52-2-222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52-2-2-2-21−521−521+521+52-2-21−521+521−521+522−1+52−1−52−1+52−1+52−1−52−1−5200221−521+521−521−521+521+521−521+521−521+5200000−1+52−1−52−1+52−1−5200000000
χ252222−1−52−1+522−1−52−1+522222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+522222−1−52−1−52−1+52−1+5222−1−52−1+52−1−52−1+522−1−52−1+52−1−52−1−52−1+52−1+520022−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+5200000−1−52−1+52−1−52−1+5200000000
χ262222−1−52−1+522−1−52−1+522222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52-2-2-2-21+521+521−521−5222−1−52−1+52−1−52−1+522−1−52−1+52−1−52−1−52−1+52−1+5200-2-21+521−521+521+521−521−52−1−52−1+52−1−52−1+52000001+521−521+521−5200000000
χ272222−1−52−1+522−1−52−1+522-2-22−1−52−1+52−1−52−1+52−1−52−1+521+521+521−521−5222-2-2−1−52−1−52−1+52−1+522-2−1−52−1+521+521−52-2−1−52−1+521+521+521−521−52002-2−1−52−1+521+521+521−521−52−1−52−1+521+521−5200000−1−52−1+521+521−5200000000
χ282222−1−52−1+522−1−52−1+522-2-22−1−52−1+52−1−52−1+52−1−52−1+521+521+521−521−52-2-2221+521+521−521−522-2−1−52−1+521+521−52-2−1−52−1+521+521+521−521−5200-221+521−52−1−52−1−52−1+52−1+52−1−52−1+521+521−52000001+521−52−1−52−1+5200000000
χ292222−1−52−1+522−1−52−1+52-22-22−1−52−1+52−1−52−1+52−1−52−1+521+521+521−521−5222-2-2−1−52−1−52−1+52−1+52-221+521−52−1−52−1+52-2−1−52−1+521+521+521−521−5200-22−1−52−1+521+521+521−521−521+521−52−1−52−1+52000001+521−52−1−52−1+5200000000
χ302222−1−52−1+522−1−52−1+52-22-22−1−52−1+52−1−52−1+52−1−52−1+521+521+521−521−52-2-2221+521+521−521−52-221+521−52−1−52−1+52-2−1−52−1+521+521+521−521−52002-21+521−52−1−52−1−52−1+52−1+521+521−52−1−52−1+5200000−1−52−1+521+521−5200000000
χ312222−1−52−1+522−1−52−1+52-2-222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+522222−1−52−1−52−1+52−1+52-2-21+521−521+521−522−1−52−1+52−1−52−1−52−1+52−1+5200-2-2−1−52−1+52−1−52−1−52−1+52−1+521+521−521+521−52000001+521−521+521−5200000000
χ322222−1−52−1+522−1−52−1+52-2-222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52-2-2-2-21+521+521−521−52-2-21+521−521+521−522−1−52−1+52−1−52−1−52−1+52−1+5200221+521−521+521+521−521−521+521−521+521−5200000−1−52−1+52−1−52−1+5200000000
χ33222-222222000-222-2-22200002-20022220000000-2-200002-200-2-2000000000020-20000-22000000
χ34222-222222000-222-2-22200002-20022220000000-2-20000-2200-2-20000000000-20200002-2000000
χ35222-222222000-222-2-2220000-2200-2-2-2-20000000-2-200002-20022000000000020-200002-2000000
χ36222-222222000-222-2-2220000-2200-2-2-2-20000000-2-20000-2200220000000000-2020000-22000000
χ3722-1222-122222-1-1-122-1-1222200000000-1-12222-1-1-1-1-1-1-12200000000-1-1-1-122-12-1000000-1-1-1000
χ3822-1222-122222-1-1-122-1-1222200000000-1-12222-1-1-1-1-1-1-1-2-200000000-1-1-1-1-2-21-21000000111000
χ3922-1222-1222-2-2-1-1-122-1-1-2-2-2-200000000-1122-2-21-1-111112200000000-1-1112-2-1-2-1000000-111000
χ4022-1222-1222-2-2-1-1-122-1-1-2-2-2-200000000-1122-2-21-1-11111-2-200000000-1-111-221210000001-1-1000
χ4122-1222-122-22-2-1-1-122-1-1-2-2-2-2000000001-1-2-2221-1-11111220000000011-1-1-22-1-2-10000001-11000
χ4222-1222-122-22-2-1-1-122-1-1-2-2-2-2000000001-1-2-2221-1-11111-2-20000000011-1-12-2121000000-11-1000
χ4322-1222-122-2-22-1-1-122-1-122220000000011-2-2-2-2-1-1-1-1-1-1-122000000001111-2-2-12-100000011-1000
χ4422-1222-122-2-22-1-1-122-1-122220000000011-2-2-2-2-1-1-1-1-1-1-1-2-2000000001111221-21000000-1-11000
χ45444-4−1+5−1−54−1+5−1−5000-4−1+5−1−51−51+5−1+5−1−500004-400−1+5−1+5−1−5−1−500000001−51+5000000001−51+50000000000000000000000000
χ46444-4−1+5−1−54−1+5−1−5000-4−1+5−1−51−51+5−1+5−1−50000-44001−51−51+51+500000001−51+500000000−1+5−1−50000000000000000000000000
χ47444-4−1−5−1+54−1−5−1+5000-4−1−5−1+51+51−5−1−5−1+500004-400−1−5−1−5−1+5−1+500000001+51−5000000001+51−50000000000000000000000000
χ48444-4−1−5−1+54−1−5−1+5000-4−1−5−1+51+51−5−1−5−1+50000-44001+51+51−51−500000001+51−500000000−1−5−1+50000000000000000000000000
χ4944-24−1+5−1−5-2−1+5−1−5444-21−521+52−1+5−1−51−521+52−1+5−1+5−1−5−1−500000000-2-2−1+5−1−5−1+5−1−5-21−521+521−521−521+521+5200000000001−521+521−521+5200000000000000000
χ5044-24−1+5−1−5-2−1+5−1−54-4-4-21−521+52−1+5−1−51−521+521−51−51+51+500000000-22−1+5−1−51−51+521−521+52−1+52−1+52−1−52−1−5200000000001−521+52−1+52−1−5200000000000000000
χ5144-24−1+5−1−5-2−1+5−1−5-44-4-21−521+52−1+5−1−51−521+521−51−51+51+5000000002-21−51+5−1+5−1−521−521+52−1+52−1+52−1−52−1−520000000000−1+52−1−521−521+5200000000000000000
χ5244-24−1+5−1−5-2−1+5−1−5-4-44-21−521+52−1+5−1−51−521+52−1+5−1+5−1−5−1−500000000221−51+51−51+5-21−521+521−521−521+521+520000000000−1+52−1−52−1+52−1−5200000000000000000
χ5344-24−1−5−1+5-2−1−5−1+5444-21+521−52−1−5−1+51+521−52−1−5−1−5−1+5−1+500000000-2-2−1−5−1+5−1−5−1+5-21+521−521+521+521−521−5200000000001+521−521+521−5200000000000000000
χ5444-24−1−5−1+5-2−1−5−1+54-4-4-21+521−52−1−5−1+51+521−521+51+51−51−500000000-22−1−5−1+51+51−521+521−52−1−52−1−52−1+52−1+5200000000001+521−52−1−52−1+5200000000000000000
χ5544-24−1−5−1+5-2−1−5−1+5-44-4-21+521−52−1−5−1+51+521−521+51+51−51−5000000002-21+51−5−1−5−1+521+521−52−1−52−1−52−1+52−1+520000000000−1−52−1+521+521−5200000000000000000
χ5644-24−1−5−1+5-2−1−5−1+5-4-44-21+521−52−1−5−1+51+521−52−1−5−1−5−1+5−1+500000000221+51−51+51−5-21+521−521+521+521−521−520000000000−1−52−1+52−1−52−1+5200000000000000000
χ5744-2-444-2440002-2-2-4-4-2-200000000000000000002200004-400000000000000-202000000000000
χ5844-2-444-2440002-2-2-4-4-2-20000000000000000000220000-440000000000000020-2000000000000
χ594-44044-4-4-400004400-4-400000022−220000000000000000000000022−2222−22000000000000000000000
χ604-44044-4-4-400004400-4-4000000−222200000000000000000000000−2222−2222000000000000000000000
χ614-440−1+5−1−5-41−51+50000−1+5−1−5001−51+5−ζ7−ζ13+ζ23+ζ37ζ7+ζ13−ζ23−ζ37−ζ21+ζ29+ζ31−ζ39ζ21−ζ29−ζ31+ζ390022−222ζ12−2ζ28−2ζ12+2ζ28−2ζ4+2ζ362ζ4−2ζ36000000000−ζ7−ζ13+ζ23+ζ37ζ7+ζ13−ζ23−ζ37−ζ21+ζ29+ζ31−ζ39ζ21−ζ29−ζ31+ζ39000000−ζ7+ζ13−ζ23+ζ37ζ7−ζ13+ζ23−ζ37ζ21+ζ29−ζ31−ζ39−ζ21−ζ29+ζ31+ζ39000000000000000000000
χ624-440−1+5−1−5-41−51+50000−1+5−1−5001−51+5−ζ7−ζ13+ζ23+ζ37ζ7+ζ13−ζ23−ζ37−ζ21+ζ29+ζ31−ζ39ζ21−ζ29−ζ31+ζ3900−2222−2ζ12+2ζ282ζ12−2ζ282ζ4−2ζ36−2ζ4+2ζ36000000000−ζ7−ζ13+ζ23+ζ37ζ7+ζ13−ζ23−ζ37−ζ21+ζ29+ζ31−ζ39ζ21−ζ29−ζ31+ζ39000000ζ7−ζ13+ζ23−ζ37−ζ7+ζ13−ζ23+ζ37−ζ21−ζ29+ζ31+ζ39ζ21+ζ29−ζ31−ζ39000000000000000000000
χ634-440−1+5−1−5-41−51+50000−1+5−1−5001−51+5ζ7+ζ13−ζ23−ζ37−ζ7−ζ13+ζ23+ζ37ζ21−ζ29−ζ31+ζ39−ζ21+ζ29+ζ31−ζ390022−22−2ζ12+2ζ282ζ12−2ζ282ζ4−2ζ36−2ζ4+2ζ36000000000ζ7+ζ13−ζ23−ζ37−ζ7−ζ13+ζ23+ζ37ζ21−ζ29−ζ31+ζ39−ζ21+ζ29+ζ31−ζ39000000−ζ7+ζ13−ζ23+ζ37ζ7−ζ13+ζ23−ζ37ζ21+ζ29−ζ31−ζ39−ζ21−ζ29+ζ31+ζ39000000000000000000000
χ644-440−1+5−1−5-41−51+50000−1+5−1−5001−51+5ζ7+ζ13−ζ23−ζ37−ζ7−ζ13+ζ23+ζ37ζ21−ζ29−ζ31+ζ39−ζ21+ζ29+ζ31−ζ3900−22222ζ12−2ζ28−2ζ12+2ζ28−2ζ4+2ζ362ζ4−2ζ36000000000ζ7+ζ13−ζ23−ζ37−ζ7−ζ13+ζ23+ζ37ζ21−ζ29−ζ31+ζ39−ζ21+ζ29+ζ31−ζ39000000ζ7−ζ13+ζ23−ζ37−ζ7+ζ13−ζ23+ζ37−ζ21−ζ29+ζ31+ζ39ζ21+ζ29−ζ31−ζ39000000000000000000000
χ654-440−1−5−1+5-41+51−50000−1−5−1+5001+51−5−ζ21+ζ29+ζ31−ζ39ζ21−ζ29−ζ31+ζ39ζ7+ζ13−ζ23−ζ37−ζ7−ζ13+ζ23+ζ370022−222ζ4−2ζ36−2ζ4+2ζ362ζ12−2ζ28−2ζ12+2ζ28000000000−ζ21+ζ29+ζ31−ζ39ζ21−ζ29−ζ31+ζ39ζ7+ζ13−ζ23−ζ37−ζ7−ζ13+ζ23+ζ37000000ζ21+ζ29−ζ31−ζ39−ζ21−ζ29+ζ31+ζ39−ζ7+ζ13−ζ23+ζ37ζ7−ζ13+ζ23−ζ37000000000000000000000
χ664-440−1−5−1+5-41+51−50000−1−5−1+5001+51−5−ζ21+ζ29+ζ31−ζ39ζ21−ζ29−ζ31+ζ39ζ7+ζ13−ζ23−ζ37−ζ7−ζ13+ζ23+ζ3700−2222−2ζ4+2ζ362ζ4−2ζ36−2ζ12+2ζ282ζ12−2ζ28000000000−ζ21+ζ29+ζ31−ζ39ζ21−ζ29−ζ31+ζ39ζ7+ζ13−ζ23−ζ37−ζ7−ζ13+ζ23+ζ37000000−ζ21−ζ29+ζ31+ζ39ζ21+ζ29−ζ31−ζ39ζ7−ζ13+ζ23−ζ37−ζ7+ζ13−ζ23+ζ37000000000000000000000
χ674-440−1−5−1+5-41+51−50000−1−5−1+5001+51−5ζ21−ζ29−ζ31+ζ39−ζ21+ζ29+ζ31−ζ39−ζ7−ζ13+ζ23+ζ37ζ7+ζ13−ζ23−ζ370022−22−2ζ4+2ζ362ζ4−2ζ36−2ζ12+2ζ282ζ12−2ζ28000000000ζ21−ζ29−ζ31+ζ39−ζ21+ζ29+ζ31−ζ39−ζ7−ζ13+ζ23+ζ37ζ7+ζ13−ζ23−ζ37000000ζ21+ζ29−ζ31−ζ39−ζ21−ζ29+ζ31+ζ39−ζ7+ζ13−ζ23+ζ37ζ7−ζ13+ζ23−ζ37000000000000000000000
χ684-440−1−5−1+5-41+51−50000−1−5−1+5001+51−5ζ21−ζ29−ζ31+ζ39−ζ21+ζ29+ζ31−ζ39−ζ7−ζ13+ζ23+ζ37ζ7+ζ13−ζ23−ζ3700−22222ζ4−2ζ36−2ζ4+2ζ362ζ12−2ζ28−2ζ12+2ζ28000000000ζ21−ζ29−ζ31+ζ39−ζ21+ζ29+ζ31−ζ39−ζ7−ζ13+ζ23+ζ37ζ7+ζ13−ζ23−ζ37000000−ζ21−ζ29+ζ31+ζ39ζ21+ζ29−ζ31−ζ39ζ7−ζ13+ζ23−ζ37−ζ7+ζ13−ζ23+ζ37000000000000000000000
χ6988-4-8−2+25−2−25-4−2+25−2−2500041−51+52−252+251−51+50000000000000000000−1+5−1−500000000000000000000000000000000000
χ7088-4-8−2−25−2+25-4−2−25−2+2500041+51−52+252−251+51−50000000000000000000−1−5−1+500000000000000000000000000000000000
χ718-8-40884-8-80000-4-4004400000000000000000000000000000000000000000000000000000000
χ728-8-40−2+25−2−2542−252+2500001−51+500−1+5−1−5−2ζ7−2ζ13+2ζ23+2ζ372ζ7+2ζ13−2ζ23−2ζ37−2ζ21+2ζ29+2ζ31−2ζ392ζ21−2ζ29−2ζ31+2ζ3900000000000000000ζ7+ζ13−ζ23−ζ37−ζ7−ζ13+ζ23+ζ37ζ21−ζ29−ζ31+ζ39−ζ21+ζ29+ζ31−ζ390000000000000000000000000000000
χ738-8-40−2+25−2−2542−252+2500001−51+500−1+5−1−52ζ7+2ζ13−2ζ23−2ζ37−2ζ7−2ζ13+2ζ23+2ζ372ζ21−2ζ29−2ζ31+2ζ39−2ζ21+2ζ29+2ζ31−2ζ3900000000000000000−ζ7−ζ13+ζ23+ζ37ζ7+ζ13−ζ23−ζ37−ζ21+ζ29+ζ31−ζ39ζ21−ζ29−ζ31+ζ390000000000000000000000000000000
χ748-8-40−2−25−2+2542+252−2500001+51−500−1−5−1+5−2ζ21+2ζ29+2ζ31−2ζ392ζ21−2ζ29−2ζ31+2ζ392ζ7+2ζ13−2ζ23−2ζ37−2ζ7−2ζ13+2ζ23+2ζ3700000000000000000ζ21−ζ29−ζ31+ζ39−ζ21+ζ29+ζ31−ζ39−ζ7−ζ13+ζ23+ζ37ζ7+ζ13−ζ23−ζ370000000000000000000000000000000
χ758-8-40−2−25−2+2542+252−2500001+51−500−1−5−1+52ζ21−2ζ29−2ζ31+2ζ39−2ζ21+2ζ29+2ζ31−2ζ39−2ζ7−2ζ13+2ζ23+2ζ372ζ7+2ζ13−2ζ23−2ζ3700000000000000000−ζ21+ζ29+ζ31−ζ39ζ21−ζ29−ζ31+ζ39ζ7+ζ13−ζ23−ζ37−ζ7−ζ13+ζ23+ζ370000000000000000000000000000000

Here ζ is a primitive root of unity of order 40 (ζ40 = 1).