Finite Group Databasebeta

← Group #11754035

Character table — Group #11754035

Order 960.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75
size112222222224444444444444444444888888888888888888121212121515202020202424242424242424303030404040406060
order1223445561010688101012121515202020203030606060602424303040404040606012012012012012012012012022244424441010101010102020224612121288
χ1111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-1-111
χ4111111111111111111111111111111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-11111-1-1
χ5111111111111-1-11111111111111111-1-111-1-1-1-111-1-1-1-1-1-1-1-111-1-111-111-11111-1-1-1-1111-111-1-1-1
χ6111111111111-1-11111111111111111-1-111-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-11-1-111111-1-1-1-1-1-1-11-1-1111
χ7111111111111-1-11111111111111111-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-111111-1-11-1-1-1-111111111-1-11-1-1
χ8111111111111-1-11111111111111111-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-111-1-1-111-1-1-1-1-11111-1-1-1-111-111
χ911-11-1111111-11-1-1-1-1111-1-1111111111-1-1-111-1-1-1-11111-1-1-1-11-11-111-11-1111-1-111-1-11-1-1-11-111-1
χ1011-11-1111111-11-1-1-1-1111-1-1111111111-1-1-111-1-1-1-11111-1-1-1-11-11-1-1-11-11-111-1-111-1-1-1111-11-1-11
χ1111-11-1111111-11-1-1-1-1111-1-1111111111-1-1-111-1-1-1-11111-1-1-1-1-11-11111-11-1-1-111-1-1111-1-11-11-11-1
χ1211-11-1111111-11-1-1-1-1111-1-1111111111-1-1-111-1-1-1-11111-1-1-1-1-11-11-1-1-11-11-1-111-1-111-111-11-11-11
χ1311-11-1111111-1-11-1-1-1111-1-111111111-11-1-1-1-111-1-1-1-1-1-111111-1-111111-1-111-1-1-1-1111-1-111-1-1-11
χ1411-11-1111111-1-11-1-1-1111-1-111111111-11-1-1-1-111-1-1-1-1-1-111111-1-11-1-1-1-11111-1-1-1-111-111-1-1111-1
χ1511-11-1111111-1-11-1-1-1111-1-111111111-11-1-1-1-111-1-1-1-1-1-11111-111-111-1-111-1-11111-1-11-1-1-1-111-11
χ1611-11-1111111-1-11-1-1-1111-1-111111111-11-1-1-1-111-1-1-1-1-1-11111-111-1-1-111-1-1-1-11111-1-1-11111-1-11-1
χ17222222−1−52−1+522−1−52−1+52222−1−52−1+5222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+5222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+522222000000−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52000000000
χ18222222−1−52−1+522−1−52−1+52222−1−52−1+5222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+5222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52-2-2-2-20000001+521−521+521−521+521−521+521−52000000000
χ19222222−1−52−1+522−1−52−1+522-2-2−1−52−1+5222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52-2-2−1−52−1+521+521−521+521−52−1−52−1+521+521+521−521−521+521+521−521−5222-2-2000000−1−52−1+52−1−52−1+521+521−521+521−52000000000
χ20222222−1−52−1+522−1−52−1+522-2-2−1−52−1+5222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52-2-2−1−52−1+521+521−521+521−52−1−52−1+521+521+521−521−521+521+521−521−52-2-2220000001+521−521+521−52−1−52−1+52−1−52−1+52000000000
χ21222222−1+52−1−522−1+52−1−52222−1+52−1−5222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−5222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−522222000000−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52000000000
χ22222222−1+52−1−522−1+52−1−52222−1+52−1−5222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−5222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52-2-2-2-20000001−521+521−521+521−521+521−521+52000000000
χ23222222−1+52−1−522−1+52−1−522-2-2−1+52−1−5222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52-2-2−1+52−1−521−521+521−521+52−1+52−1−521−521−521+521+521−521−521+521+5222-2-2000000−1+52−1−52−1+52−1−521−521+521−521+52000000000
χ24222222−1+52−1−522−1+52−1−522-2-2−1+52−1−5222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52-2-2−1+52−1−521−521+521−521+52−1+52−1−521−521−521+521+521−521−521+521+52-2-2220000001−521+521−521+52−1+52−1−52−1+52−1−52000000000
χ252222-2-22222220022-2-222-2-2-2-222-2-2-2-200220000-2-200000000000022000000000000-2-22000000
χ262222-2-22222220022-2-222-2-2-2-222-2-2-2-200220000-2-2000000000000-2-200000000000022-2000000
χ27222-12222-122-12222-1-1-1-12222-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1000000222200000000000-1-1-1-100
χ28222-12222-122-12222-1-1-1-12222-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1000000-2-2-2-200000000000111100
χ29222-12222-122-1-2-222-1-1-1-12222-1-1-1-1-1-111-1-1-2-2-2-2-1-1111111110000002-2-2200000000000-111-100
χ30222-12222-122-1-2-222-1-1-1-12222-1-1-1-1-1-111-1-1-2-2-2-2-1-111111111000000-222-2000000000001-1-1100
χ3122-222-222222-200-2-22-22222-2-222-2-2-2-200-2-200002200000000000022000000000000-22-2000000
χ3222-222-222222-200-2-22-22222-2-222-2-2-2-200-2-2000022000000000000-2-20000000000002-22000000
χ3322-22-22−1−52−1+522−1−52−1+52-22-21+521−52-22−1−52−1+521+521−52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+522-21+521−52−1−52−1+521+521−521+521−52−1−52−1−52−1+52−1+521+521+521−521−522-22-2000000−1−52−1+521+521−52−1−52−1+521+521−52000000000
χ3422-22-22−1−52−1+522−1−52−1+52-22-21+521−52-22−1−52−1+521+521−52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+522-21+521−52−1−52−1+521+521−521+521−52−1−52−1−52−1+52−1+521+521+521−521−52-22-220000001+521−52−1−52−1+521+521−52−1−52−1+52000000000
χ3522-22-22−1−52−1+522−1−52−1+52-2-221+521−52-22−1−52−1+521+521−52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52-221+521−521+521−52−1−52−1+521+521−521+521+521−521−52−1−52−1−52−1+52−1+522-2-22000000−1−52−1+521+521−521+521−52−1−52−1+52000000000
χ3622-22-22−1−52−1+522−1−52−1+52-2-221+521−52-22−1−52−1+521+521−52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52-221+521−521+521−52−1−52−1+521+521−521+521+521−521−52−1−52−1−52−1+52−1+52-222-20000001+521−52−1−52−1+52−1−52−1+521+521−52000000000
χ3722-22-22−1+52−1−522−1+52−1−52-22-21−521+52-22−1+52−1−521−521+52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−522-21−521+52−1+52−1−521−521+521−521+52−1+52−1+52−1−52−1−521−521−521+521+522-22-2000000−1+52−1−521−521+52−1+52−1−521−521+52000000000
χ3822-22-22−1+52−1−522−1+52−1−52-22-21−521+52-22−1+52−1−521−521+52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−522-21−521+52−1+52−1−521−521+521−521+52−1+52−1+52−1−52−1−521−521−521+521+52-22-220000001−521+52−1+52−1−521−521+52−1+52−1−52000000000
χ3922-22-22−1+52−1−522−1+52−1−52-2-221−521+52-22−1+52−1−521−521+52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52-221−521+521−521+52−1+52−1−521−521+521−521−521+521+52−1+52−1+52−1−52−1−522-2-22000000−1+52−1−521−521+521−521+52−1+52−1−52000000000
χ4022-22-22−1+52−1−522−1+52−1−52-2-221−521+52-22−1+52−1−521−521+52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52-221−521+521−521+52−1+52−1−521−521+521−521−521+521+52−1+52−1+52−1−52−1−52-222-20000001−521+52−1+52−1−52−1+52−1−521−521+52000000000
χ4122-2-1-2222-12212-2-2-21-1-1-1-2-222-1-1-1-1-1-1-111122-2-211-1-1-1-111110000002-22-200000000000-11-1100
χ4222-2-1-2222-12212-2-2-21-1-1-1-2-222-1-1-1-1-1-1-111122-2-211-1-1-1-11111000000-22-22000000000001-11-100
χ4322-2-1-2222-1221-22-2-21-1-1-1-2-222-1-1-1-1-1-11-111-2-222111111-1-1-1-100000022-2-200000000000-1-11100
χ4422-2-1-2222-1221-22-2-21-1-1-1-2-222-1-1-1-1-1-11-111-2-222111111-1-1-1-1000000-2-2220000000000011-1-100
χ454444-4-4−1−5−1+54−1−5−1+5400−1−5−1+5-4-4−1−5−1+51+51−51+51−5−1−5−1+51+51+51−51−500−1−5−1+500001+51−500000000000000000000000000000000000
χ464444-4-4−1+5−1−54−1+5−1−5400−1+5−1−5-4-4−1+5−1−51−51+51−51+5−1+5−1−51−51−51+51+500−1+5−1−500001−51+500000000000000000000000000000000000
χ47444-244−1−5−1+5-2−1−5−1+5-244−1−5−1+5-2-21+521−52−1−5−1+5−1−5−1+51+521−521+521+521−521−52-2-21+521−52−1−5−1+5−1−5−1+51+521−521+521+521−521−521+521+521−521−52000000000000000000000000000
χ48444-244−1−5−1+5-2−1−5−1+5-2-4-4−1−5−1+5-2-21+521−52−1−5−1+5−1−5−1+51+521−521+521+521−521−52221+521−521+51−51+51−51+521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52000000000000000000000000000
χ49444-244−1+5−1−5-2−1+5−1−5-244−1+5−1−5-2-21−521+52−1+5−1−5−1+5−1−51−521+521−521−521+521+52-2-21−521+52−1+5−1−5−1+5−1−51−521+521−521−521+521+521−521−521+521+52000000000000000000000000000
χ50444-244−1+5−1−5-2−1+5−1−5-2-4-4−1+5−1−5-2-21−521+52−1+5−1−5−1+5−1−51−521+521−521−521+521+52221−521+521−51+51−51+51−521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52000000000000000000000000000
χ51444-2-4-444-244-2004422-2-2-4-4-4-4-2-2222200-2-200002200000000000000000000000000000000000
χ52444-2-4-4−1−5−1+5-2−1−5−1+5-200−1−5−1+5221+521−521+51−51+51−51+521−52−1−52−1−52−1+52−1+52001+521−520000−1−52−1+52ζ11+ζ19−ζ31−ζ59−ζ11−ζ19+ζ31+ζ59−ζ7−ζ23+ζ43+ζ47ζ7+ζ23−ζ43−ζ47ζ11+ζ19−ζ31−ζ59−ζ11−ζ19+ζ31+ζ59−ζ7−ζ23+ζ43+ζ47ζ7+ζ23−ζ43−ζ47000000000000000000000000000
χ53444-2-4-4−1−5−1+5-2−1−5−1+5-200−1−5−1+5221+521−521+51−51+51−51+521−52−1−52−1−52−1+52−1+52001+521−520000−1−52−1+52−ζ11−ζ19+ζ31+ζ59ζ11+ζ19−ζ31−ζ59ζ7+ζ23−ζ43−ζ47−ζ7−ζ23+ζ43+ζ47−ζ11−ζ19+ζ31+ζ59ζ11+ζ19−ζ31−ζ59ζ7+ζ23−ζ43−ζ47−ζ7−ζ23+ζ43+ζ47000000000000000000000000000
χ54444-2-4-4−1+5−1−5-2−1+5−1−5-200−1+5−1−5221−521+521−51+51−51+51−521+52−1+52−1+52−1−52−1−52001−521+520000−1+52−1−52−ζ7−ζ23+ζ43+ζ47ζ7+ζ23−ζ43−ζ47−ζ11−ζ19+ζ31+ζ59ζ11+ζ19−ζ31−ζ59−ζ7−ζ23+ζ43+ζ47ζ7+ζ23−ζ43−ζ47−ζ11−ζ19+ζ31+ζ59ζ11+ζ19−ζ31−ζ59000000000000000000000000000
χ55444-2-4-4−1+5−1−5-2−1+5−1−5-200−1+5−1−5221−521+521−51+51−51+51−521+52−1+52−1+52−1−52−1−52001−521+520000−1+52−1−52ζ7+ζ23−ζ43−ζ47−ζ7−ζ23+ζ43+ζ47ζ11+ζ19−ζ31−ζ59−ζ11−ζ19+ζ31+ζ59ζ7+ζ23−ζ43−ζ47−ζ7−ζ23+ζ43+ζ47ζ11+ζ19−ζ31−ζ59−ζ11−ζ19+ζ31+ζ59000000000000000000000000000
χ5644-444-4−1−5−1+54−1−5−1+5-4001+51−54-4−1−5−1+5−1−5−1+51+51−5−1−5−1+51+51+51−51−5001+51−50000−1−5−1+500000000000000000000000000000000000
χ5744-444-4−1+5−1−54−1+5−1−5-4001−51+54-4−1+5−1−5−1+5−1−51−51+5−1+5−1−51−51−51+51+5001−51+50000−1+5−1−500000000000000000000000000000000000
χ5844-4-24-444-244200-4-4-22-2-244-4-4-2-2222200220000-2-200000000000000000000000000000000000
χ5944-4-24-4−1−5−1+5-2−1−5−1+52001+51−5-221+521−52−1−5−1+51+51−51+521−52−1−52−1−52−1+52−1+5200−1−52−1+5200001+521−52ζ11+ζ19−ζ31−ζ59−ζ11−ζ19+ζ31+ζ59−ζ7−ζ23+ζ43+ζ47ζ7+ζ23−ζ43−ζ47−ζ11−ζ19+ζ31+ζ59ζ11+ζ19−ζ31−ζ59ζ7+ζ23−ζ43−ζ47−ζ7−ζ23+ζ43+ζ47000000000000000000000000000
χ6044-4-24-4−1−5−1+5-2−1−5−1+52001+51−5-221+521−52−1−5−1+51+51−51+521−52−1−52−1−52−1+52−1+5200−1−52−1+5200001+521−52−ζ11−ζ19+ζ31+ζ59ζ11+ζ19−ζ31−ζ59ζ7+ζ23−ζ43−ζ47−ζ7−ζ23+ζ43+ζ47ζ11+ζ19−ζ31−ζ59−ζ11−ζ19+ζ31+ζ59−ζ7−ζ23+ζ43+ζ47ζ7+ζ23−ζ43−ζ47000000000000000000000000000
χ6144-4-24-4−1+5−1−5-2−1+5−1−52001−51+5-221−521+52−1+5−1−51−51+51−521+52−1+52−1+52−1−52−1−5200−1+52−1−5200001−521+52−ζ7−ζ23+ζ43+ζ47ζ7+ζ23−ζ43−ζ47−ζ11−ζ19+ζ31+ζ59ζ11+ζ19−ζ31−ζ59ζ7+ζ23−ζ43−ζ47−ζ7−ζ23+ζ43+ζ47ζ11+ζ19−ζ31−ζ59−ζ11−ζ19+ζ31+ζ59000000000000000000000000000
χ6244-4-24-4−1+5−1−5-2−1+5−1−52001−51+5-221−521+52−1+5−1−51−51+51−521+52−1+52−1+52−1−52−1−5200−1+52−1−5200001−521+52ζ7+ζ23−ζ43−ζ47−ζ7−ζ23+ζ43+ζ47ζ11+ζ19−ζ31−ζ59−ζ11−ζ19+ζ31+ζ59−ζ7−ζ23+ζ43+ζ47ζ7+ζ23−ζ43−ζ47−ζ11−ζ19+ζ31+ζ59ζ11+ζ19−ζ31−ζ59000000000000000000000000000
χ6344-4-2-44−1−5−1+5-2−1−5−1+524-41+51−52-21+521−521+51−5−1−5−1+51+521−521+521+521−521−52-22−1−52−1+52−1−5−1+51+51−5−1−52−1+521+521+521−521−52−1−52−1−52−1+52−1+52000000000000000000000000000
χ6444-4-2-44−1−5−1+5-2−1−5−1+52-441+51−52-21+521−521+51−5−1−5−1+51+521−521+521+521−521−522-2−1−52−1+521+51−5−1−5−1+5−1−52−1+52−1−52−1−52−1+52−1+521+521+521−521−52000000000000000000000000000
χ6544-4-2-44−1+5−1−5-2−1+5−1−524-41−51+52-21−521+521−51+5−1+5−1−51−521+521−521−521+521+52-22−1+52−1−52−1+5−1−51−51+5−1+52−1−521−521−521+521+52−1+52−1+52−1−52−1−52000000000000000000000000000
χ6644-4-2-44−1+5−1−5-2−1+5−1−52-441−51+52-21−521+521−51+5−1+5−1−51−521+521−521−521+521+522-2−1+52−1−521−51+5−1+5−1−5−1+52−1−52−1+52−1+52−1−52−1−521−521−521+521+52000000000000000000000000000
χ674-4040044-4-4-40000000440000-4-4000000000000000000000000004i−4i000000000000000000000
χ684-4040044-4-4-40000000440000-4-400000000000000000000000000−4i4i000000000000000000000
χ698-80800−2−25−2+25-82+252−250000000−2−25−2+2500002+252−250000000000000000000000000000000000000000000000000
χ708-80800−2+25−2−25-82−252+250000000−2+25−2−2500002−252+250000000000000000000000000000000000000000000000000
χ718-80-400884-8-80000000-4-40000440000000000000000000000000000000000000000000000000
χ728-80-400−2−25−2+2542+252−2500000001+51−50000−1−5−1+52ζ11+2ζ19−2ζ31−2ζ59−2ζ11−2ζ19+2ζ31+2ζ59−2ζ7−2ζ23+2ζ43+2ζ472ζ7+2ζ23−2ζ43−2ζ47000000000000000000000000000000000000000000000
χ738-80-400−2−25−2+2542+252−2500000001+51−50000−1−5−1+5−2ζ11−2ζ19+2ζ31+2ζ592ζ11+2ζ19−2ζ31−2ζ592ζ7+2ζ23−2ζ43−2ζ47−2ζ7−2ζ23+2ζ43+2ζ47000000000000000000000000000000000000000000000
χ748-80-400−2+25−2−2542−252+2500000001−51+50000−1+5−1−5−2ζ7−2ζ23+2ζ43+2ζ472ζ7+2ζ23−2ζ43−2ζ47−2ζ11−2ζ19+2ζ31+2ζ592ζ11+2ζ19−2ζ31−2ζ59000000000000000000000000000000000000000000000
χ758-80-400−2+25−2−2542−252+2500000001−51+50000−1+5−1−52ζ7+2ζ23−2ζ43−2ζ47−2ζ7−2ζ23+2ζ43+2ζ472ζ11+2ζ19−2ζ31−2ζ59−2ζ11−2ζ19+2ζ31+2ζ59000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 60 (ζ60 = 1); i = ζ15.