Finite Group Databasebeta

← Group #11755122

Character table — Group #11755122

Order 960.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78
size11222222222224444444444444444448888888888888888881010121212122020202020202024242424242424243030303040406060
order12234455666101044101012121515202020203030303030301212202020206060606060606060606060608824884482424242410102020404040402244121224
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1
χ31111111111111111111111111111111111111111111111111-1-11111-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1
χ41111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111
χ51111111111111-1-11111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-111
χ61111111111111-1-11111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-111-1-111111-1-1-1-111111111-1-1-1-1
χ71111111111111-1-11111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-11111-1-1-1-1111111-1-1
χ81111111111111-1-11111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-11111-1-1-1-11111
χ911-11-1111-1-11111-1-1-1-1111-1-111-1-1-1-1111-111-1-111-1-11111-1-1-1-1111-11-11-1-111-1-111-1-111-1-11-11-11-11-1
χ1011-11-1111-1-11111-1-1-1-1111-1-111-1-1-1-1111-111-1-111-1-11111-1-1-1-111-11-111-1-111-1-1-1-111-1-111-11-111-1-11
χ1111-11-1111-1-11111-1-1-1-1111-1-111-1-1-1-1111-111-1-111-1-11111-1-1-1-1-1-11-11-1-111-1-11111-1-111-1-1-11-11-11-11
χ1211-11-1111-1-11111-1-1-1-1111-1-111-1-1-1-1111-111-1-111-1-11111-1-1-1-1-1-1-11-11-111-1-111-1-111-1-1111-11-1-111-1
χ1311-11-1111-1-1111-11-1-1-1111-1-111-1-1-1-111-11-1-11111-1-1-1-1-1-11111111-1-11-11-111-1-111-1-1-1-111-11-11-111-1
χ1411-11-1111-1-1111-11-1-1-1111-1-111-1-1-1-111-11-1-11111-1-1-1-1-1-1111111-111-1-11-111-1-1-1-11111-1-11-11-1-11-11
χ1511-11-1111-1-1111-11-1-1-1111-1-111-1-1-1-111-11-1-11111-1-1-1-1-1-11111-1-11-1-111-11-1-11111-1-1-1-1111-11-11-1-11
χ1611-11-1111-1-1111-11-1-1-1111-1-111-1-1-1-111-11-1-11111-1-1-1-1-1-11111-1-1-111-11-11-1-111-1-11111-1-1-11-111-11-1
χ17222222−1−52−1+52222−1−52−1+5222−1−52−1+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+520022220000000−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+5200000000
χ18222222−1−52−1+52222−1−52−1+5222−1−52−1+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+5200-2-2-2-200000001+521−521+521−521+521−521+521−5200000000
χ19222222−1−52−1+52222−1−52−1+52-2-2−1−52−1+5222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52-2-21+521−521+521−52−1−52−1+52−1−52−1+521+521+521−521−521+521+521−521−520022-2-20000000−1−52−1+52−1−52−1+521+521−521+521−5200000000
χ20222222−1−52−1+52222−1−52−1+52-2-2−1−52−1+5222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52-2-21+521−521+521−52−1−52−1+52−1−52−1+521+521+521−521−521+521+521−521−5200-2-22200000001+521−521+521−52−1−52−1+52−1−52−1+5200000000
χ21222222−1+52−1−52222−1+52−1−5222−1+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+52−1−52−1−520022220000000−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−5200000000
χ22222222−1+52−1−52222−1+52−1−5222−1+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+52−1−52−1−5200-2-2-2-200000001−521+521−521+521−521+521−521+5200000000
χ23222222−1+52−1−52222−1+52−1−52-2-2−1+52−1−5222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52-2-21−521+521−521+52−1+52−1−52−1+52−1−521−521−521+521+521−521−521+521+520022-2-20000000−1+52−1−52−1+52−1−521−521+521−521+5200000000
χ24222222−1+52−1−52222−1+52−1−52-2-2−1+52−1−5222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52-2-21−521+521−521+52−1+52−1−52−1+52−1−521−521−521+521+521−521−521+521+5200-2-22200000001−521+521−521+52−1+52−1−52−1+52−1−5200000000
χ252222-2-222222220022-2-222-2-2-2-2222222000000-2-2-2-2000000000000000000000000000002-2-220000
χ262222-2-222222220022-2-222-2-2-2-2222222000000-2-2-2-200000000000000000000000000000-222-20000
χ27222-12222-1-1-1222222-1-1-1-12222-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1220000222-1-1-1-1000000000000-1-100
χ28222-12222-1-1-1222222-1-1-1-12222-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-20000-2-2-211110000000000001100
χ29222-12222-1-1-122-2-222-1-1-1-12222-1-1-1-1-1-111-2-2-2-2-1-1-1-111111111220000-2-22-1-1-1-10000000000001100
χ30222-12222-1-1-122-2-222-1-1-1-12222-1-1-1-1-1-111-2-2-2-2-1-1-1-111111111-2-2000022-21111000000000000-1-100
χ3122-222-222-2-222200-2-22-22222-2-2-2-2-2-222000000-2-2220000000000000000000000000000022-2-20000
χ3222-222-222-2-222200-2-22-22222-2-2-2-2-2-222000000-2-22200000000000000000000000000000-2-2220000
χ3322-22-22−1−52−1+52-2-22−1−52−1+522-21+521−52-22−1−52−1+521+521−52−1−52−1+521+521+521−521−52−1−52−1+522-2−1−52−1+521+521−52−1−52−1+521+521−52−1−52−1−52−1+52−1+521+521+521−521−52002-22-20000000−1−52−1+521+521−52−1−52−1+521+521−5200000000
χ3422-22-22−1−52−1+52-2-22−1−52−1+522-21+521−52-22−1−52−1+521+521−52−1−52−1+521+521+521−521−52−1−52−1+522-2−1−52−1+521+521−52−1−52−1+521+521−52−1−52−1−52−1+52−1+521+521+521−521−5200-22-2200000001+521−52−1−52−1+521+521−52−1−52−1+5200000000
χ3522-22-22−1−52−1+52-2-22−1−52−1+52-221+521−52-22−1−52−1+521+521−52−1−52−1+521+521+521−521−52−1−52−1+52-221+521−52−1−52−1+52−1−52−1+521+521−521+521+521−521−52−1−52−1−52−1+52−1+52002-2-220000000−1−52−1+521+521−521+521−52−1−52−1+5200000000
χ3622-22-22−1−52−1+52-2-22−1−52−1+52-221+521−52-22−1−52−1+521+521−52−1−52−1+521+521+521−521−52−1−52−1+52-221+521−52−1−52−1+52−1−52−1+521+521−521+521+521−521−52−1−52−1−52−1+52−1+5200-222-200000001+521−52−1−52−1+52−1−52−1+521+521−5200000000
χ3722-22-22−1+52−1−52-2-22−1+52−1−522-21−521+52-22−1+52−1−521−521+52−1+52−1−521−521−521+521+52−1+52−1−522-2−1+52−1−521−521+52−1+52−1−521−521+52−1+52−1+52−1−52−1−521−521−521+521+52002-22-20000000−1+52−1−521−521+52−1+52−1−521−521+5200000000
χ3822-22-22−1+52−1−52-2-22−1+52−1−522-21−521+52-22−1+52−1−521−521+52−1+52−1−521−521−521+521+52−1+52−1−522-2−1+52−1−521−521+52−1+52−1−521−521+52−1+52−1+52−1−52−1−521−521−521+521+5200-22-2200000001−521+52−1+52−1−521−521+52−1+52−1−5200000000
χ3922-22-22−1+52−1−52-2-22−1+52−1−52-221−521+52-22−1+52−1−521−521+52−1+52−1−521−521−521+521+52−1+52−1−52-221−521+52−1+52−1−52−1+52−1−521−521+521−521−521+521+52−1+52−1+52−1−52−1−52002-2-220000000−1+52−1−521−521+521−521+52−1+52−1−5200000000
χ4022-22-22−1+52−1−52-2-22−1+52−1−52-221−521+52-22−1+52−1−521−521+52−1+52−1−521−521−521+521+52−1+52−1−52-221−521+52−1+52−1−52−1+52−1−521−521+521−521−521+521+52−1+52−1+52−1−52−1−5200-222-200000001−521+52−1+52−1−52−1+52−1−521−521+5200000000
χ4122-2-1-222211-1222-2-2-21-1-1-1-2-2221111-1-1-1122-2-2-1-111-1-1-1-111112200002-2-2-1-111000000000000-1100
χ4222-2-1-222211-1222-2-2-21-1-1-1-2-2221111-1-1-1122-2-2-1-111-1-1-1-11111-2-20000-22211-1-10000000000001-100
χ4322-2-1-222211-122-22-2-21-1-1-1-2-2221111-1-11-1-2-222-1-1111111-1-1-1-1220000-22-2-1-1110000000000001-100
χ4422-2-1-222211-122-22-2-21-1-1-1-2-2221111-1-11-1-2-222-1-1111111-1-1-1-1-2-200002-2211-1-1000000000000-1100
χ454444-4-4−1−5−1+5444−1−5−1+500−1−5−1+5-4-4−1−5−1+51+51−51+51−5−1−5−1−5−1+5−1+5−1−5−1+50000001+51−51+51−50000000000000000000000000000000000000
χ464444-4-4−1+5−1−5444−1+5−1−500−1+5−1−5-4-4−1+5−1−51−51+51−51+5−1+5−1+5−1−5−1−5−1+5−1−50000001−51+51−51+50000000000000000000000000000000000000
χ47444-244−1−5−1+5-2-2-2−1−5−1+544−1−5−1+5-2-21+521−52−1−5−1+5−1−5−1+51+521+521−521−521+521−52-2-2−1−5−1+5−1−5−1+51+521−521+521−521+521+521−521−521+521+521−521−5200000000000000000000000000000
χ48444-244−1−5−1+5-2-2-2−1−5−1+5-4-4−1−5−1+5-2-21+521−52−1−5−1+5−1−5−1+51+521+521−521−521+521−52221+51−51+51−51+521−521+521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+5200000000000000000000000000000
χ49444-244−1+5−1−5-2-2-2−1+5−1−544−1+5−1−5-2-21−521+52−1+5−1−5−1+5−1−51−521−521+521+521−521+52-2-2−1+5−1−5−1+5−1−51−521+521−521+521−521−521+521+521−521−521+521+5200000000000000000000000000000
χ50444-244−1+5−1−5-2-2-2−1+5−1−5-4-4−1+5−1−5-2-21−521+52−1+5−1−5−1+5−1−51−521−521+521+521−521+52221−51+51−51+51−521+521−521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5200000000000000000000000000000
χ51444-2-4-444-2-2-244004422-2-2-4-4-4-4-2-2-2-2-2-200000022220000000000000000000000000000000000000
χ52444-2-4-4−1−5−1+5-2-2-2−1−5−1+500−1−5−1+5221+521−521+51−51+51−51+521+521−521−521+521−52000000−1−52−1+52−1−52−1+52ζ28−ζ52−ζ68+ζ92−ζ28+ζ52+ζ68−ζ92−ζ4+ζ44+ζ76−ζ116ζ4−ζ44−ζ76+ζ116ζ28−ζ52−ζ68+ζ92−ζ28+ζ52+ζ68−ζ92−ζ4+ζ44+ζ76−ζ116ζ4−ζ44−ζ76+ζ11600000000000000000000000000000
χ53444-2-4-4−1−5−1+5-2-2-2−1−5−1+500−1−5−1+5221+521−521+51−51+51−51+521+521−521−521+521−52000000−1−52−1+52−1−52−1+52−ζ28+ζ52+ζ68−ζ92ζ28−ζ52−ζ68+ζ92ζ4−ζ44−ζ76+ζ116−ζ4+ζ44+ζ76−ζ116−ζ28+ζ52+ζ68−ζ92ζ28−ζ52−ζ68+ζ92ζ4−ζ44−ζ76+ζ116−ζ4+ζ44+ζ76−ζ11600000000000000000000000000000
χ54444-2-4-4−1+5−1−5-2-2-2−1+5−1−500−1+5−1−5221−521+521−51+51−51+51−521−521+521+521−521+52000000−1+52−1−52−1+52−1−52−ζ4+ζ44+ζ76−ζ116ζ4−ζ44−ζ76+ζ116−ζ28+ζ52+ζ68−ζ92ζ28−ζ52−ζ68+ζ92−ζ4+ζ44+ζ76−ζ116ζ4−ζ44−ζ76+ζ116−ζ28+ζ52+ζ68−ζ92ζ28−ζ52−ζ68+ζ9200000000000000000000000000000
χ55444-2-4-4−1+5−1−5-2-2-2−1+5−1−500−1+5−1−5221−521+521−51+51−51+51−521−521+521+521−521+52000000−1+52−1−52−1+52−1−52ζ4−ζ44−ζ76+ζ116−ζ4+ζ44+ζ76−ζ116ζ28−ζ52−ζ68+ζ92−ζ28+ζ52+ζ68−ζ92ζ4−ζ44−ζ76+ζ116−ζ4+ζ44+ζ76−ζ116ζ28−ζ52−ζ68+ζ92−ζ28+ζ52+ζ68−ζ9200000000000000000000000000000
χ5644-444-4−1−5−1+5-4-44−1−5−1+5001+51−54-4−1−5−1+5−1−5−1+51+51−51+51+51−51−5−1−5−1+50000001+51−5−1−5−1+50000000000000000000000000000000000000
χ5744-444-4−1+5−1−5-4-44−1+5−1−5001−51+54-4−1+5−1−5−1+5−1−51−51+51−51−51+51+5−1+5−1−50000001−51+5−1+5−1−50000000000000000000000000000000000000
χ5844-4-24-44422-24400-4-4-22-2-244-4-42222-2-200000022-2-20000000000000000000000000000000000000
χ5944-4-24-4−1−5−1+522-2−1−5−1+5001+51−5-221+521−52−1−5−1+51+51−5−1−52−1−52−1+52−1+521+521−52000000−1−52−1+521+521−52ζ28−ζ52−ζ68+ζ92−ζ28+ζ52+ζ68−ζ92−ζ4+ζ44+ζ76−ζ116ζ4−ζ44−ζ76+ζ116−ζ28+ζ52+ζ68−ζ92ζ28−ζ52−ζ68+ζ92ζ4−ζ44−ζ76+ζ116−ζ4+ζ44+ζ76−ζ11600000000000000000000000000000
χ6044-4-24-4−1−5−1+522-2−1−5−1+5001+51−5-221+521−52−1−5−1+51+51−5−1−52−1−52−1+52−1+521+521−52000000−1−52−1+521+521−52−ζ28+ζ52+ζ68−ζ92ζ28−ζ52−ζ68+ζ92ζ4−ζ44−ζ76+ζ116−ζ4+ζ44+ζ76−ζ116ζ28−ζ52−ζ68+ζ92−ζ28+ζ52+ζ68−ζ92−ζ4+ζ44+ζ76−ζ116ζ4−ζ44−ζ76+ζ11600000000000000000000000000000
χ6144-4-24-4−1+5−1−522-2−1+5−1−5001−51+5-221−521+52−1+5−1−51−51+5−1+52−1+52−1−52−1−521−521+52000000−1+52−1−521−521+52−ζ4+ζ44+ζ76−ζ116ζ4−ζ44−ζ76+ζ116−ζ28+ζ52+ζ68−ζ92ζ28−ζ52−ζ68+ζ92ζ4−ζ44−ζ76+ζ116−ζ4+ζ44+ζ76−ζ116ζ28−ζ52−ζ68+ζ92−ζ28+ζ52+ζ68−ζ9200000000000000000000000000000
χ6244-4-24-4−1+5−1−522-2−1+5−1−5001−51+5-221−521+52−1+5−1−51−51+5−1+52−1+52−1−52−1−521−521+52000000−1+52−1−521−521+52ζ4−ζ44−ζ76+ζ116−ζ4+ζ44+ζ76−ζ116ζ28−ζ52−ζ68+ζ92−ζ28+ζ52+ζ68−ζ92−ζ4+ζ44+ζ76−ζ116ζ4−ζ44−ζ76+ζ116−ζ28+ζ52+ζ68−ζ92ζ28−ζ52−ζ68+ζ9200000000000000000000000000000
χ6344-4-2-44−1−5−1+522-2−1−5−1+54-41+51−52-21+521−521+51−5−1−5−1+5−1−52−1−52−1+52−1+521+521−52-22−1−5−1+51+51−51+521−52−1−52−1+521+521+521−521−52−1−52−1−52−1+52−1+5200000000000000000000000000000
χ6444-4-2-44−1−5−1+522-2−1−5−1+5-441+51−52-21+521−521+51−5−1−5−1+5−1−52−1−52−1+52−1+521+521−522-21+51−5−1−5−1+51+521−52−1−52−1+52−1−52−1−52−1+52−1+521+521+521−521−5200000000000000000000000000000
χ6544-4-2-44−1+5−1−522-2−1+5−1−54-41−51+52-21−521+521−51+5−1+5−1−5−1+52−1+52−1−52−1−521−521+52-22−1+5−1−51−51+51−521+52−1+52−1−521−521−521+521+52−1+52−1+52−1−52−1−5200000000000000000000000000000
χ6644-4-2-44−1+5−1−522-2−1+5−1−5-441−51+52-21−521+521−51+5−1+5−1−5−1+52−1+52−1−52−1−521−521+522-21−51+5−1+5−1−51−521+52−1+52−1−52−1+52−1+52−1−52−1−521−521−521+521+5200000000000000000000000000000
χ674-404004400-4-4-40000004400000000-4-400000000000000000022−22000000022−22000000000000000000
χ684-404004400-4-4-40000004400000000-4-4000000000000000000−22220000000−2222000000000000000000
χ694-40-20044−2i32i32-4-4000000-2-20000−2i32i3−2i32i32200000000000000000022−220000000−22−i6i60000000000000000
χ704-40-20044−2i32i32-4-4000000-2-20000−2i32i3−2i32i322000000000000000000−222200000002−2i6−i60000000000000000
χ714-40-200442i3−2i32-4-4000000-2-200002i3−2i32i3−2i32200000000000000000022−220000000−22i6−i60000000000000000
χ724-40-200442i3−2i32-4-4000000-2-200002i3−2i32i3−2i322000000000000000000−222200000002−2−i6i60000000000000000
χ738-80800−2−25−2+2500-82+252−25000000−2−25−2+25000000002+252−2500000000000000000000000000000000000000000000000
χ748-80800−2+25−2−2500-82−252+25000000−2+25−2−25000000002−252+2500000000000000000000000000000000000000000000000
χ758-80-400−2−25−2+25−4i34i342+252−250000001+51−500002ζ28+2ζ52−2ζ68−2ζ92−2ζ28−2ζ52+2ζ68+2ζ922ζ4−2ζ44+2ζ76−2ζ116−2ζ4+2ζ44−2ζ76+2ζ116−1−5−1+500000000000000000000000000000000000000000000000
χ768-80-400−2−25−2+254i3−4i342+252−250000001+51−50000−2ζ28−2ζ52+2ζ68+2ζ922ζ28+2ζ52−2ζ68−2ζ92−2ζ4+2ζ44−2ζ76+2ζ1162ζ4−2ζ44+2ζ76−2ζ116−1−5−1+500000000000000000000000000000000000000000000000
χ778-80-400−2+25−2−25−4i34i342−252+250000001−51+500002ζ4−2ζ44+2ζ76−2ζ116−2ζ4+2ζ44−2ζ76+2ζ1162ζ28+2ζ52−2ζ68−2ζ92−2ζ28−2ζ52+2ζ68+2ζ92−1+5−1−500000000000000000000000000000000000000000000000
χ788-80-400−2+25−2−254i3−4i342−252+250000001−51+50000−2ζ4+2ζ44−2ζ76+2ζ1162ζ4−2ζ44+2ζ76−2ζ116−2ζ28−2ζ52+2ζ68+2ζ922ζ28+2ζ52−2ζ68−2ζ92−1+5−1−500000000000000000000000000000000000000000000000

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