Finite Group Databasebeta

← Group #14279551

Character table — Group #14279551

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84
size112222222444444444444448888888888888888888888888888816161616161616161616164848484848484848484860606060808080808080240
order122355610104446101015153030303030302466121212202020202020202020206060606060606060606060601010123030303060606060884040404040404040888844121212124
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-11
χ4111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1
χ511111111111111111111111-1-1-1-1111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1i−iiiii−i−i−i−i1111i−iii−i−i-1
χ611111111111111111111111-1-1-1-1111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1i−iiiii−i−i−i−i-1-1-1-1−ii−i−iii1
χ711111111111111111111111-1-1-1-1111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1−ii−i−i−i−iiiii1111−ii−i−iii-1
χ811111111111111111111111-1-1-1-1111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1−ii−i−i−i−iiiii-1-1-1-1i−iii−i−i1
χ9222222222-2-22222222222222-2222-2-222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2222222-22222-2-2-2-2000000000000000000000
χ10222222222-2-2222222222222-22-2-22-2-222-2-2-2-22222-2-2-2-2-2-2-2-22222-2-22-2-2-2-22222000000000000000000000
χ112222−1−52−1+522−1−52−1+522222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+522222222−1−52−1+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+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1+522−1−52−1−52−1+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+5200000000000
χ122222−1−52−1+522−1−52−1+522222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+522222222−1−52−1+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+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1+522−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52-2-21+521+521−521−521+521+521−521−5200000000000
χ132222−1−52−1+522−1−52−1+522222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52-2-2-2-2222−1−52−1+52−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1+52−1+521+521−52-21+521+521−521−521+521+521−521−522i−2i−ζ22−ζ38−ζ62−ζ118−ζ22−ζ38−ζ62−ζ118−ζ14−ζ46−ζ86−ζ94−ζ14−ζ46−ζ86−ζ94ζ22+ζ38+ζ62+ζ118ζ22+ζ38+ζ62+ζ118ζ14+ζ46+ζ86+ζ94ζ14+ζ46+ζ86+ζ9400000000000
χ142222−1−52−1+522−1−52−1+522222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52-2-2-2-2222−1−52−1+52−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1+52−1+521+521−52-21+521+521−521−521+521+521−521−52−2i2iζ22+ζ38+ζ62+ζ118ζ22+ζ38+ζ62+ζ118ζ14+ζ46+ζ86+ζ94ζ14+ζ46+ζ86+ζ94−ζ22−ζ38−ζ62−ζ118−ζ22−ζ38−ζ62−ζ118−ζ14−ζ46−ζ86−ζ94−ζ14−ζ46−ζ86−ζ9400000000000
χ152222−1−52−1+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+522-2222-2-2−1−52−1+521+521+521−521−521+521+521−521−521+521+521+521+521−521−521−521−52−1−52−1−52−1+52−1+52−1−52−1+52-2−1−52−1−52−1+52−1+521+521+521−521−5200−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−ζ9400000000000
χ162222−1−52−1+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+522-2222-2-2−1−52−1+521+521+521−521−521+521+521−521−521+521+521+521+521−521−521−521−52−1−52−1−52−1+52−1+52−1−52−1+52-2−1−52−1−52−1+52−1+521+521+521−521−5200ζ22−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+ζ9400000000000
χ172222−1−52−1+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+52-22-2-22-2-2−1−52−1+521+521+521−521−52−1−52−1−52−1+52−1+521+521+521+521+521−521−521−521−52−1−52−1−52−1+52−1+521+521−5221+521+521−521−52−1−52−1−52−1+52−1+5200−ζ28+ζ52−ζ68+ζ92ζ28−ζ52+ζ68−ζ92−ζ4−ζ44+ζ76+ζ116ζ4+ζ44−ζ76−ζ116ζ28−ζ52+ζ68−ζ92−ζ28+ζ52−ζ68+ζ92ζ4+ζ44−ζ76−ζ116−ζ4−ζ44+ζ76+ζ11600000000000
χ182222−1−52−1+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+52-22-2-22-2-2−1−52−1+521+521+521−521−52−1−52−1−52−1+52−1+521+521+521+521+521−521−521−521−52−1−52−1−52−1+52−1+521+521−5221+521+521−521−52−1−52−1−52−1+52−1+5200ζ28−ζ52+ζ68−ζ92−ζ28+ζ52−ζ68+ζ92ζ4+ζ44−ζ76−ζ116−ζ4−ζ44+ζ76+ζ116−ζ28+ζ52−ζ68+ζ92ζ28−ζ52+ζ68−ζ92−ζ4−ζ44+ζ76+ζ116ζ4+ζ44−ζ76−ζ11600000000000
χ192222−1+52−1−522−1+52−1−522222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−522222222−1+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+52−1−52−1−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1−522−1+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+52−1−52−1−5200000000000
χ202222−1+52−1−522−1+52−1−522222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−522222222−1+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+52−1−52−1−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1−522−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52-2-21−521−521+521+521−521−521+521+5200000000000
χ212222−1+52−1−522−1+52−1−522222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52-2-2-2-2222−1+52−1−52−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1−52−1−521−521+52-21−521−521+521+521−521−521+521+522i−2i−ζ14−ζ46−ζ86−ζ94−ζ14−ζ46−ζ86−ζ94−ζ22−ζ38−ζ62−ζ118−ζ22−ζ38−ζ62−ζ118ζ14+ζ46+ζ86+ζ94ζ14+ζ46+ζ86+ζ94ζ22+ζ38+ζ62+ζ118ζ22+ζ38+ζ62+ζ11800000000000
χ222222−1+52−1−522−1+52−1−522222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52-2-2-2-2222−1+52−1−52−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1−52−1−521−521+52-21−521−521+521+521−521−521+521+52−2i2iζ14+ζ46+ζ86+ζ94ζ14+ζ46+ζ86+ζ94ζ22+ζ38+ζ62+ζ118ζ22+ζ38+ζ62+ζ118−ζ14−ζ46−ζ86−ζ94−ζ14−ζ46−ζ86−ζ94−ζ22−ζ38−ζ62−ζ118−ζ22−ζ38−ζ62−ζ11800000000000
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+52−1−522-2222-2-2−1+52−1−521−521−521+521+521−521−521+521+521−521−521−521−521+521+521+521+52−1+52−1+52−1−52−1−52−1+52−1−52-2−1+52−1+52−1−52−1−521−521−521+521+5200ζ14−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+ζ11800000000000
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+52−1−522-2222-2-2−1+52−1−521−521−521+521+521−521−521+521+521−521−521−521−521+521+521+521+52−1+52−1+52−1−52−1−52−1+52−1−52-2−1+52−1+52−1−52−1−521−521−521+521+5200−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−ζ11800000000000
χ252222−1+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+52−1−52-22-2-22-2-2−1+52−1−521−521−521+521+52−1+52−1+52−1−52−1−521−521−521−521−521+521+521+521+52−1+52−1+52−1−52−1−521−521+5221−521−521+521+52−1+52−1+52−1−52−1−5200ζ4+ζ44−ζ76−ζ116−ζ4−ζ44+ζ76+ζ116−ζ28+ζ52−ζ68+ζ92ζ28−ζ52+ζ68−ζ92−ζ4−ζ44+ζ76+ζ116ζ4+ζ44−ζ76−ζ116ζ28−ζ52+ζ68−ζ92−ζ28+ζ52−ζ68+ζ9200000000000
χ262222−1+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+52−1−52-22-2-22-2-2−1+52−1−521−521−521+521+52−1+52−1+52−1−52−1−521−521−521−521−521+521+521+521+52−1+52−1+52−1−52−1−521−521+5221−521−521+521+52−1+52−1+52−1−52−1−5200−ζ4−ζ44+ζ76+ζ116ζ4+ζ44−ζ76−ζ116ζ28−ζ52+ζ68−ζ92−ζ28+ζ52−ζ68+ζ92ζ4+ζ44−ζ76−ζ116−ζ4−ζ44+ζ76+ζ116−ζ28+ζ52−ζ68+ζ92ζ28−ζ52+ζ68−ζ9200000000000
χ27222-122-122222-122-1-1-1-1-1-1-1-122-1-1-1-1-12222222222-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-1-10000000000000022-1-1-1-10
χ28222-122-122222-122-1-1-1-1-1-1-1-122-1-1-1-1-12222222222-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-1-100000000000000-2-211110
χ29222-122-122222-122-1-1-1-1-1-1-1-1-2-211-1-1-1222222-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-2-2111111111000000000000002i−2i−i−iii0
χ30222-122-122222-122-1-1-1-1-1-1-1-1-2-211-1-1-1222222-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-2-211111111100000000000000−2i2iii−i−i0
χ31222-122-122-2-22-122-1-1-1-1-1-1-1-12-2-1-1-11122-2-2-2-2-2-2-2-211111111-1-1-1-1221-1-1-1-111110000000000000000−i3i3−i3i30
χ32222-122-122-2-22-122-1-1-1-1-1-1-1-12-2-1-1-11122-2-2-2-2-2-2-2-211111111-1-1-1-1221-1-1-1-111110000000000000000i3−i3i3−i30
χ33222-122-122-2-22-122-1-1-1-1-1-1-1-1-2211-11122-2-2-2-2222211111111-1-1-1-1-2-2-11111-1-1-1-100000000000000003−3−330
χ34222-122-122-2-22-122-1-1-1-1-1-1-1-1-2211-11122-2-2-2-2222211111111-1-1-1-1-2-2-11111-1-1-1-10000000000000000−333−30
χ3544444444400-4444444444440000-400-4-40000000000000000-4-4-4-400000000000000000000000000000000
χ364444−1−5−1+54−1−5−1+500-44−1−5−1+5−1−5−1+5−1−5−1−5−1+5−1+5−1−5−1+50000-4001+51−50000−2ζ28+2ζ52−2ζ68+2ζ922ζ28−2ζ52+2ζ68−2ζ922ζ4+2ζ44−2ζ76−2ζ116−2ζ4−2ζ44+2ζ76+2ζ116000000001+51+51−51−50000000−2ζ28+2ζ52−2ζ68+2ζ922ζ28−2ζ52+2ζ68−2ζ922ζ4+2ζ44−2ζ76−2ζ116−2ζ4−2ζ44+2ζ76+2ζ116000000000000000000000
χ374444−1−5−1+54−1−5−1+500-44−1−5−1+5−1−5−1+5−1−5−1−5−1+5−1+5−1−5−1+50000-4001+51−500002ζ28−2ζ52+2ζ68−2ζ92−2ζ28+2ζ52−2ζ68+2ζ92−2ζ4−2ζ44+2ζ76+2ζ1162ζ4+2ζ44−2ζ76−2ζ116000000001+51+51−51−500000002ζ28−2ζ52+2ζ68−2ζ92−2ζ28+2ζ52−2ζ68+2ζ92−2ζ4−2ζ44+2ζ76+2ζ1162ζ4+2ζ44−2ζ76−2ζ116000000000000000000000
χ384444−1+5−1−54−1+5−1−500-44−1+5−1−5−1+5−1−5−1+5−1+5−1−5−1−5−1+5−1−50000-4001−51+500002ζ4+2ζ44−2ζ76−2ζ116−2ζ4−2ζ44+2ζ76+2ζ1162ζ28−2ζ52+2ζ68−2ζ92−2ζ28+2ζ52−2ζ68+2ζ92000000001−51−51+51+500000002ζ4+2ζ44−2ζ76−2ζ116−2ζ4−2ζ44+2ζ76+2ζ1162ζ28−2ζ52+2ζ68−2ζ92−2ζ28+2ζ52−2ζ68+2ζ92000000000000000000000
χ394444−1+5−1−54−1+5−1−500-44−1+5−1−5−1+5−1−5−1+5−1+5−1−5−1−5−1+5−1−50000-4001−51+50000−2ζ4−2ζ44+2ζ76+2ζ1162ζ4+2ζ44−2ζ76−2ζ116−2ζ28+2ζ52−2ζ68+2ζ922ζ28−2ζ52+2ζ68−2ζ92000000001−51−51+51+50000000−2ζ4−2ζ44+2ζ76+2ζ1162ζ4+2ζ44−2ζ76−2ζ116−2ζ28+2ζ52−2ζ68+2ζ922ζ28−2ζ52+2ζ68−2ζ92000000000000000000000
χ40444-244-24400-4-244-2-2-2-2-2-2-2-200−2i32i3200-4-400000000000000002222000−2i32i3−2i32i30000000000000000000000000
χ41444-244-24400-4-244-2-2-2-2-2-2-2-2002i3−2i3200-4-4000000000000000022220002i3−2i32i3−2i30000000000000000000000000
χ42444-2−1−5−1+5-2−1−5−1+500-4-2−1−5−1+51+521−521+521+521−521−521+521−5200−2i32i32001+51−50000−2ζ28+2ζ52−2ζ68+2ζ922ζ28−2ζ52+2ζ68−2ζ922ζ4+2ζ44−2ζ76−2ζ116−2ζ4−2ζ44+2ζ76+2ζ116ζ28−ζ52−ζ68+ζ92ζ28−ζ52−ζ68+ζ92−ζ28+ζ52+ζ68−ζ92−ζ28+ζ52+ζ68−ζ92−ζ4+ζ44+ζ76−ζ116−ζ4+ζ44+ζ76−ζ116ζ4−ζ44−ζ76+ζ116ζ4−ζ44−ζ76+ζ116−1−52−1−52−1+52−1+52000ζ28+ζ52−ζ68−ζ92−ζ28−ζ52+ζ68+ζ92ζ4−ζ44+ζ76−ζ116−ζ4+ζ44−ζ76+ζ116ζ28−ζ52+ζ68−ζ92−ζ28+ζ52−ζ68+ζ92−ζ4−ζ44+ζ76+ζ116ζ4+ζ44−ζ76−ζ116000000000000000000000
χ43444-2−1−5−1+5-2−1−5−1+500-4-2−1−5−1+51+521−521+521+521−521−521+521−5200−2i32i32001+51−500002ζ28−2ζ52+2ζ68−2ζ92−2ζ28+2ζ52−2ζ68+2ζ92−2ζ4−2ζ44+2ζ76+2ζ1162ζ4+2ζ44−2ζ76−2ζ116−ζ28+ζ52+ζ68−ζ92−ζ28+ζ52+ζ68−ζ92ζ28−ζ52−ζ68+ζ92ζ28−ζ52−ζ68+ζ92ζ4−ζ44−ζ76+ζ116ζ4−ζ44−ζ76+ζ116−ζ4+ζ44+ζ76−ζ116−ζ4+ζ44+ζ76−ζ116−1−52−1−52−1+52−1+52000ζ28+ζ52−ζ68−ζ92−ζ28−ζ52+ζ68+ζ92ζ4−ζ44+ζ76−ζ116−ζ4+ζ44−ζ76+ζ116−ζ28+ζ52−ζ68+ζ92ζ28−ζ52+ζ68−ζ92ζ4+ζ44−ζ76−ζ116−ζ4−ζ44+ζ76+ζ116000000000000000000000
χ44444-2−1−5−1+5-2−1−5−1+500-4-2−1−5−1+51+521−521+521+521−521−521+521−52002i3−2i32001+51−50000−2ζ28+2ζ52−2ζ68+2ζ922ζ28−2ζ52+2ζ68−2ζ922ζ4+2ζ44−2ζ76−2ζ116−2ζ4−2ζ44+2ζ76+2ζ116−ζ28+ζ52+ζ68−ζ92−ζ28+ζ52+ζ68−ζ92ζ28−ζ52−ζ68+ζ92ζ28−ζ52−ζ68+ζ92ζ4−ζ44−ζ76+ζ116ζ4−ζ44−ζ76+ζ116−ζ4+ζ44+ζ76−ζ116−ζ4+ζ44+ζ76−ζ116−1−52−1−52−1+52−1+52000−ζ28−ζ52+ζ68+ζ92ζ28+ζ52−ζ68−ζ92−ζ4+ζ44−ζ76+ζ116ζ4−ζ44+ζ76−ζ116ζ28−ζ52+ζ68−ζ92−ζ28+ζ52−ζ68+ζ92−ζ4−ζ44+ζ76+ζ116ζ4+ζ44−ζ76−ζ116000000000000000000000
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χ838-80-4−2+25−2−2542−252+25−4i4i00001−51+5−2ζ4+2ζ44+2ζ76−2ζ1162ζ4−2ζ44−2ζ76+2ζ116−2ζ28+2ζ52+2ζ68−2ζ922ζ28−2ζ52−2ζ68+2ζ92−1+5−1−5000002i−2i002ζ14+2ζ46+2ζ86+2ζ94−2ζ14−2ζ46−2ζ86−2ζ942ζ22+2ζ38+2ζ62+2ζ118−2ζ22−2ζ38−2ζ62−2ζ1180000−2ζ86−2ζ942ζ86+2ζ94−2ζ14−2ζ462ζ14+2ζ46−2ζ62−2ζ1182ζ62+2ζ118−2ζ22−2ζ382ζ22+2ζ38000000000000000000000000000000000000
χ848-80-4−2+25−2−2542−252+25−4i4i00001−51+52ζ4−2ζ44−2ζ76+2ζ116−2ζ4+2ζ44+2ζ76−2ζ1162ζ28−2ζ52−2ζ68+2ζ92−2ζ28+2ζ52+2ζ68−2ζ92−1+5−1−5000002i−2i002ζ14+2ζ46+2ζ86+2ζ94−2ζ14−2ζ46−2ζ86−2ζ942ζ22+2ζ38+2ζ62+2ζ118−2ζ22−2ζ38−2ζ62−2ζ1180000−2ζ14−2ζ462ζ14+2ζ46−2ζ86−2ζ942ζ86+2ζ94−2ζ22−2ζ382ζ22+2ζ38−2ζ62−2ζ1182ζ62+2ζ118000000000000000000000000000000000000

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