Finite Group Databasebeta

← Group #11754037

Character table — Group #11754037

Order 960.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75
size112222222224444444444444444444888888888888888888121212122020202024242424242424243030303030304040404060
order12234455610106881010121215152020202030306060606024243030404040406060120120120120120120120120244422241010202020202020224488666128
χ1111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1
χ4111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11
χ5111111111111-1-11111111111111111-1-111-1-1-1-111-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-11111-1-111-1-1-1
χ6111111111111-1-11111111111111111-1-111-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-111-1-1111
χ7111111111111-1-11111111111111111-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-11111-1-11
χ8111111111111-1-11111111111111111-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-111111111-1-1-1-111-1
χ911-11-1111111-11-1-1-1-1111-1-1111111111-1-1-111-1-1-1-11111-1-1-1-11-11-11-11-111-1-111-1-11-11-1-1-11-11-11
χ1011-11-1111111-11-1-1-1-1111-1-1111111111-1-1-111-1-1-1-11111-1-1-1-11-11-1-11-1111-1-111-1-1-11-1111-11-11-1
χ1111-11-1111111-11-1-1-1-1111-1-1111111111-1-1-111-1-1-1-11111-1-1-1-1-11-111-11-1-1-111-1-111-11-11111-11-1-1
χ1211-11-1111111-11-1-1-1-1111-1-1111111111-1-1-111-1-1-1-11111-1-1-1-1-11-11-11-11-1-111-1-1111-11-1-1-1-11-111
χ1311-11-1111111-1-11-1-1-1111-1-111111111-11-1-1-1-111-1-1-1-1-1-111111-1-111-1-1111-1-1-1-1111-11-1111-1-11-1
χ1411-11-1111111-1-11-1-1-1111-1-111111111-11-1-1-1-111-1-1-1-1-1-111111-1-11-111-111-1-1-1-111-11-11-1-1-111-11
χ1511-11-1111111-1-11-1-1-1111-1-111111111-11-1-1-1-111-1-1-1-1-1-11111-111-11-1-11-1-11111-1-1-11-11-1-11-1-111
χ1611-11-1111111-1-11-1-1-1111-1-111111111-11-1-1-1-111-1-1-1-1-1-11111-111-1-111-1-1-11111-1-11-11-111-111-1-1
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+5222220000−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+5200000000000
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+52-2-2-2-200001+521−521+521−521+521−521+521−5200000000000
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+521−521−5222-2-20000−1−52−1+52−1−52−1+521+521−521+521−5200000000000
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+521−521−52-2-22200001+521−521+521−52−1−52−1+52−1−52−1+5200000000000
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+52−1−52−1−5222220000−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−5200000000000
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+52−1−52−1−52-2-2-2-200001−521+521−521+521−521+521−521+5200000000000
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+5222-2-20000−1+52−1−52−1+52−1−521−521+521−521+5200000000000
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+52-2-22200001−521+521−521+52−1+52−1−52−1+52−1−5200000000000
χ252222-2-22222220022-2-222-2-2-2-222-2-2-2-200220000-2-20000000000000000000000002-2-220000000
χ262222-2-22222220022-2-222-2-2-2-222-2-2-2-200220000-2-2000000000000000000000000-222-20000000
χ27222-12222-122-12222-1-1-1-12222-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-10000222200000000000000-1-1-1-10
χ28222-12222-122-12222-1-1-1-12222-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-10000-2-2-2-20000000000000011110
χ29222-12222-122-1-2-222-1-1-1-12222-1-1-1-1-1-111-1-1-2-2-2-2-1-111111111000022-2-200000000000000-1-1110
χ30222-12222-122-1-2-222-1-1-1-12222-1-1-1-1-1-111-1-1-2-2-2-2-1-1111111110000-2-2220000000000000011-1-10
χ3122-222-222222-200-2-22-22222-2-222-2-2-2-200-2-200002200000000000000000000000022-2-20000000
χ3222-222-222222-200-2-22-22222-2-222-2-2-2-200-2-2000022000000000000000000000000-2-2220000000
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+521−521−522-22-20000−1−52−1+521+521−52−1−52−1+521+521−5200000000000
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+521−521−52-22-2200001+521−52−1−52−1+521+521−52−1−52−1+5200000000000
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+522-2-220000−1−52−1+521+521−521+521−52−1−52−1+5200000000000
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+52-222-200001+521−52−1−52−1+52−1−52−1+521+521−5200000000000
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+522-22-20000−1+52−1−521−521+52−1+52−1−521−521+5200000000000
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+52-22-2200001−521+52−1+52−1−521−521+52−1+52−1−5200000000000
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+52−1−52−1−522-2-220000−1+52−1−521−521+521−521+52−1+52−1−5200000000000
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+52−1−52−1−52-222-200001−521+52−1+52−1−52−1+52−1−521−521+5200000000000
χ4122-2-1-2222-12212-2-2-21-1-1-1-2-222-1-1-1-1-1-1-111122-2-211-1-1-1-1111100002-22-200000000000000-11-110
χ4222-2-1-2222-12212-2-2-21-1-1-1-2-222-1-1-1-1-1-1-111122-2-211-1-1-1-111110000-22-22000000000000001-11-10
χ4322-2-1-2222-1221-22-2-21-1-1-1-2-222-1-1-1-1-1-11-111-2-222111111-1-1-1-100002-2-2200000000000000-111-10
χ4422-2-1-2222-1221-22-2-21-1-1-1-2-222-1-1-1-1-1-11-111-2-222111111-1-1-1-10000-222-2000000000000001-1-110
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+52ζ22+ζ38−ζ62−ζ118−ζ22−ζ38+ζ62+ζ118−ζ14−ζ46+ζ86+ζ94ζ14+ζ46−ζ86−ζ94ζ22+ζ38−ζ62−ζ118−ζ22−ζ38+ζ62+ζ118−ζ14−ζ46+ζ86+ζ94ζ14+ζ46−ζ86−ζ94000000000000000000000000000
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−ζ22−ζ38+ζ62+ζ118ζ22+ζ38−ζ62−ζ118ζ14+ζ46−ζ86−ζ94−ζ14−ζ46+ζ86+ζ94−ζ22−ζ38+ζ62+ζ118ζ22+ζ38−ζ62−ζ118ζ14+ζ46−ζ86−ζ94−ζ14−ζ46+ζ86+ζ94000000000000000000000000000
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−ζ14−ζ46+ζ86+ζ94ζ14+ζ46−ζ86−ζ94−ζ22−ζ38+ζ62+ζ118ζ22+ζ38−ζ62−ζ118−ζ14−ζ46+ζ86+ζ94ζ14+ζ46−ζ86−ζ94−ζ22−ζ38+ζ62+ζ118ζ22+ζ38−ζ62−ζ118000000000000000000000000000
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+52−1−52ζ14+ζ46−ζ86−ζ94−ζ14−ζ46+ζ86+ζ94ζ22+ζ38−ζ62−ζ118−ζ22−ζ38+ζ62+ζ118ζ14+ζ46−ζ86−ζ94−ζ14−ζ46+ζ86+ζ94ζ22+ζ38−ζ62−ζ118−ζ22−ζ38+ζ62+ζ118000000000000000000000000000
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+521−52ζ22+ζ38−ζ62−ζ118−ζ22−ζ38+ζ62+ζ118−ζ14−ζ46+ζ86+ζ94ζ14+ζ46−ζ86−ζ94−ζ22−ζ38+ζ62+ζ118ζ22+ζ38−ζ62−ζ118ζ14+ζ46−ζ86−ζ94−ζ14−ζ46+ζ86+ζ94000000000000000000000000000
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−ζ22−ζ38+ζ62+ζ118ζ22+ζ38−ζ62−ζ118ζ14+ζ46−ζ86−ζ94−ζ14−ζ46+ζ86+ζ94ζ22+ζ38−ζ62−ζ118−ζ22−ζ38+ζ62+ζ118−ζ14−ζ46+ζ86+ζ94ζ14+ζ46−ζ86−ζ94000000000000000000000000000
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−ζ14−ζ46+ζ86+ζ94ζ14+ζ46−ζ86−ζ94−ζ22−ζ38+ζ62+ζ118ζ22+ζ38−ζ62−ζ118ζ14+ζ46−ζ86−ζ94−ζ14−ζ46+ζ86+ζ94ζ22+ζ38−ζ62−ζ118−ζ22−ζ38+ζ62+ζ118000000000000000000000000000
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+52ζ14+ζ46−ζ86−ζ94−ζ14−ζ46+ζ86+ζ94ζ22+ζ38−ζ62−ζ118−ζ22−ζ38+ζ62+ζ118−ζ14−ζ46+ζ86+ζ94ζ14+ζ46−ζ86−ζ94−ζ22−ζ38+ζ62+ζ118ζ22+ζ38−ζ62−ζ118000000000000000000000000000
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
χ674-4040044-4-4-40000000440000-4-4000000000000000000000000000000000000000000−2i22i200000
χ684-4040044-4-4-40000000440000-4-40000000000000000000000000000000000000000002i2−2i200000
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+52ζ22+2ζ38−2ζ62−2ζ118−2ζ22−2ζ38+2ζ62+2ζ118−2ζ14−2ζ46+2ζ86+2ζ942ζ14+2ζ46−2ζ86−2ζ94000000000000000000000000000000000000000000000
χ738-80-400−2−25−2+2542+252−2500000001+51−50000−1−5−1+5−2ζ22−2ζ38+2ζ62+2ζ1182ζ22+2ζ38−2ζ62−2ζ1182ζ14+2ζ46−2ζ86−2ζ94−2ζ14−2ζ46+2ζ86+2ζ94000000000000000000000000000000000000000000000
χ748-80-400−2+25−2−2542−252+2500000001−51+50000−1+5−1−5−2ζ14−2ζ46+2ζ86+2ζ942ζ14+2ζ46−2ζ86−2ζ94−2ζ22−2ζ38+2ζ62+2ζ1182ζ22+2ζ38−2ζ62−2ζ118000000000000000000000000000000000000000000000
χ758-80-400−2+25−2−2542−252+2500000001−51+50000−1+5−1−52ζ14+2ζ46−2ζ86−2ζ94−2ζ14−2ζ46+2ζ86+2ζ942ζ22+2ζ38−2ζ62−2ζ118−2ζ22−2ζ38+2ζ62+2ζ118000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 120 (ζ120 = 1); i = ζ30.