Finite Group Databasebeta

← Group #11749319

Character table — Group #11749319

Order 960.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78
size1111222222222222224444444444444488888888888888888881212121212121212121220202020202024242424244040406060120
order122234455666101010101010121215152020202030303030303041212202020206060606060606060606060604420202020202020208824242424420202020266884
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-111111-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1111-1-1-1
χ4111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111
χ511111111111111111111111111111111-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-111-1
χ611111111111111111111111111111111-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1111-1-11
χ711111111111111111111111111111111-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111-1-1-1-1-11
χ811111111111111111111111111111111-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1
χ92222222−1−52−1+52222−1−52−1−52−1+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+52222−1−52−1−52−1+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+5222−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+520000002−1−52−1−52−1+52−1+52000000
χ102222222−1−52−1+52222−1−52−1−52−1+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+52222−1−52−1−52−1+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+52-2-21+521+521+521+521−521−521−521−52000000-21+521+521−521−52000000
χ112222222−1−52−1+52222−1−52−1−52−1+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+52-2-2-21+521+521−521−52−1−52−1−52−1+52−1+521+521+521+521+521−521−521−521−5222−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52000000-21+521+521−521−52000000
χ122222222−1−52−1+52222−1−52−1−52−1+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+52-2-2-21+521+521−521−52−1−52−1−52−1+52−1+521+521+521+521+521−521−521−521−52-2-21+521+521+521+521−521−521−521−520000002−1−52−1−52−1+52−1+52000000
χ132222222−1+52−1−52222−1+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+52−1−52222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−5222−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−520000002−1+52−1+52−1−52−1−52000000
χ142222222−1+52−1−52222−1+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+52−1−52222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52-2-21−521−521−521−521+521+521+521+52000000-21−521−521+521+52000000
χ152222222−1+52−1−52222−1+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+52−1−52-2-2-21−521−521+521+52−1+52−1+52−1−52−1−521−521−521−521−521+521+521+521+5222−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52000000-21−521−521+521+52000000
χ162222222−1+52−1−52222−1+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+52−1−52-2-2-21−521−521+521+52−1+52−1+52−1−52−1−521−521−521−521−521+521+521+521+52-2-21−521−521−521−521+521+521+521+520000002−1+52−1+52−1−52−1−52000000
χ1722222-2-222222222222-2-222-2-2-2-22222220000000-2-2-2-2000000002-222-2-222-2-200000000000000000
χ1822222-2-222222222222-2-222-2-2-2-22222220000000-2-2-2-200000000-22-2-222-2-22200000000000000000
χ1922222-2-2−1−52−1+52222−1−52−1−52−1+52−1+52−1−52−1+52-2-2−1−52−1+521+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1+52000−ζ28+ζ52−ζ68+ζ92ζ28−ζ52+ζ68−ζ92ζ4+ζ44−ζ76−ζ116−ζ4−ζ44+ζ76+ζ1161+521+521−521−52−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+ζ1162-2−1−52−1−521+521+52−1+52−1+521−521−520000000−ζ28+ζ52−ζ68+ζ92ζ28−ζ52+ζ68−ζ92ζ4+ζ44−ζ76−ζ116−ζ4−ζ44+ζ76+ζ116000000
χ2022222-2-2−1−52−1+52222−1−52−1−52−1+52−1+52−1−52−1+52-2-2−1−52−1+521+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1+52000−ζ28+ζ52−ζ68+ζ92ζ28−ζ52+ζ68−ζ92ζ4+ζ44−ζ76−ζ116−ζ4−ζ44+ζ76+ζ1161+521+521−521−52−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+ζ116-221+521+52−1−52−1−521−521−52−1+52−1+520000000ζ28−ζ52+ζ68−ζ92−ζ28+ζ52−ζ68+ζ92−ζ4−ζ44+ζ76+ζ116ζ4+ζ44−ζ76−ζ116000000
χ2122222-2-2−1−52−1+52222−1−52−1−52−1+52−1+52−1−52−1+52-2-2−1−52−1+521+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1+52000ζ28−ζ52+ζ68−ζ92−ζ28+ζ52−ζ68+ζ92−ζ4−ζ44+ζ76+ζ116ζ4+ζ44−ζ76−ζ1161+521+521−521−52ζ28−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−ζ1162-2−1−52−1−521+521+52−1+52−1+521−521−520000000ζ28−ζ52+ζ68−ζ92−ζ28+ζ52−ζ68+ζ92−ζ4−ζ44+ζ76+ζ116ζ4+ζ44−ζ76−ζ116000000
χ2222222-2-2−1−52−1+52222−1−52−1−52−1+52−1+52−1−52−1+52-2-2−1−52−1+521+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1+52000ζ28−ζ52+ζ68−ζ92−ζ28+ζ52−ζ68+ζ92−ζ4−ζ44+ζ76+ζ116ζ4+ζ44−ζ76−ζ1161+521+521−521−52ζ28−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−ζ116-221+521+52−1−52−1−521−521−52−1+52−1+520000000−ζ28+ζ52−ζ68+ζ92ζ28−ζ52+ζ68−ζ92ζ4+ζ44−ζ76−ζ116−ζ4−ζ44+ζ76+ζ116000000
χ2322222-2-2−1+52−1−52222−1+52−1+52−1−52−1−52−1+52−1−52-2-2−1+52−1−521−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1−52000ζ4+ζ44−ζ76−ζ116−ζ4−ζ44+ζ76+ζ116ζ28−ζ52+ζ68−ζ92−ζ28+ζ52−ζ68+ζ921−521−521+521+52ζ4+ζ44−ζ76−ζ116ζ4+ζ44−ζ76−ζ116−ζ4−ζ44+ζ76+ζ116−ζ4−ζ44+ζ76+ζ116ζ28−ζ52+ζ68−ζ92ζ28−ζ52+ζ68−ζ92−ζ28+ζ52−ζ68+ζ92−ζ28+ζ52−ζ68+ζ922-2−1+52−1+521−521−52−1−52−1−521+521+520000000ζ4+ζ44−ζ76−ζ116−ζ4−ζ44+ζ76+ζ116ζ28−ζ52+ζ68−ζ92−ζ28+ζ52−ζ68+ζ92000000
χ2422222-2-2−1+52−1−52222−1+52−1+52−1−52−1−52−1+52−1−52-2-2−1+52−1−521−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1−52000ζ4+ζ44−ζ76−ζ116−ζ4−ζ44+ζ76+ζ116ζ28−ζ52+ζ68−ζ92−ζ28+ζ52−ζ68+ζ921−521−521+521+52ζ4+ζ44−ζ76−ζ116ζ4+ζ44−ζ76−ζ116−ζ4−ζ44+ζ76+ζ116−ζ4−ζ44+ζ76+ζ116ζ28−ζ52+ζ68−ζ92ζ28−ζ52+ζ68−ζ92−ζ28+ζ52−ζ68+ζ92−ζ28+ζ52−ζ68+ζ92-221−521−52−1+52−1+521+521+52−1−52−1−520000000−ζ4−ζ44+ζ76+ζ116ζ4+ζ44−ζ76−ζ116−ζ28+ζ52−ζ68+ζ92ζ28−ζ52+ζ68−ζ92000000
χ2522222-2-2−1+52−1−52222−1+52−1+52−1−52−1−52−1+52−1−52-2-2−1+52−1−521−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1−52000−ζ4−ζ44+ζ76+ζ116ζ4+ζ44−ζ76−ζ116−ζ28+ζ52−ζ68+ζ92ζ28−ζ52+ζ68−ζ921−521−521+521+52−ζ4−ζ44+ζ76+ζ116−ζ4−ζ44+ζ76+ζ116ζ4+ζ44−ζ76−ζ116ζ4+ζ44−ζ76−ζ116−ζ28+ζ52−ζ68+ζ92−ζ28+ζ52−ζ68+ζ92ζ28−ζ52+ζ68−ζ92ζ28−ζ52+ζ68−ζ922-2−1+52−1+521−521−52−1−52−1−521+521+520000000−ζ4−ζ44+ζ76+ζ116ζ4+ζ44−ζ76−ζ116−ζ28+ζ52−ζ68+ζ92ζ28−ζ52+ζ68−ζ92000000
χ2622222-2-2−1+52−1−52222−1+52−1+52−1−52−1−52−1+52−1−52-2-2−1+52−1−521−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1−52000−ζ4−ζ44+ζ76+ζ116ζ4+ζ44−ζ76−ζ116−ζ28+ζ52−ζ68+ζ92ζ28−ζ52+ζ68−ζ921−521−521+521+52−ζ4−ζ44+ζ76+ζ116−ζ4−ζ44+ζ76+ζ116ζ4+ζ44−ζ76−ζ116ζ4+ζ44−ζ76−ζ116−ζ28+ζ52−ζ68+ζ92−ζ28+ζ52−ζ68+ζ92ζ28−ζ52+ζ68−ζ92ζ28−ζ52+ζ68−ζ92-221−521−52−1+52−1+521+521+52−1−52−1−520000000ζ4+ζ44−ζ76−ζ116−ζ4−ζ44+ζ76+ζ116ζ28−ζ52+ζ68−ζ92−ζ28+ζ52−ζ68+ζ92000000
χ272222-12222-1-1-1222222-1-1-1-12222-1-1-1-1-1-12-1-12222-1-1-1-1-1-1-1-1-1-1-1-1000000000022-1-1-1-1000002-1-1000
χ282222-12222-1-1-1222222-1-1-1-12222-1-1-1-1-1-12-1-12222-1-1-1-1-1-1-1-1-1-1-1-10000000000-2-2111100000-211000
χ292222-12222-1-1-1222222-1-1-1-12222-1-1-1-1-1-1-211-2-2-2-2-1-1-1-111111111000000000022-1-1-1-100000-211000
χ302222-12222-1-1-1222222-1-1-1-12222-1-1-1-1-1-1-211-2-2-2-2-1-1-1-1111111110000000000-2-21111000002-1-1000
χ312-2-2222-222-2-22-2-2-2-222-22222-22-2-2-2-2-22200000002-22-20000000000000000002-222-2-200000000000
χ322-2-2222-222-2-22-2-2-2-222-22222-22-2-2-2-2-22200000002-22-2000000000000000000-22-2-22200000000000
χ332-2-222-2222-2-22-2-2-2-2222-222-22-22-2-2-2-2220000000-22-22000000000000000000000000000000002-20
χ342-2-222-2222-2-22-2-2-2-2222-222-22-22-2-2-2-2220000000-22-2200000000000000000000000000000000-220
χ352-2-22-12-22211-1-2-2-2-2221-1-1-12-22-21111-1-10−i3i30000-11-11−i3i3−i3i3−i3i3−i3i300000000002-2-1-111000000−i3i3000
χ362-2-22-12-22211-1-2-2-2-2221-1-1-12-22-21111-1-10−i3i30000-11-11−i3i3−i3i3−i3i3−i3i30000000000-2211-1-1000000i3−i3000
χ372-2-22-12-22211-1-2-2-2-2221-1-1-12-22-21111-1-10i3−i30000-11-11i3−i3i3−i3i3−i3i3−i300000000002-2-1-111000000i3−i3000
χ382-2-22-12-22211-1-2-2-2-2221-1-1-12-22-21111-1-10i3−i30000-11-11i3−i3i3−i3i3−i3i3−i30000000000-2211-1-1000000−i3i3000
χ394444-244−1−5−1+5-2-2-2−1−5−1−5−1+5−1+5−1−5−1+5-2-21+521−52−1−5−1−5−1+5−1+51+521+521−521−521+521−524-2-2−1−5−1−5−1+5−1+51+521+521−521−521+521+521+521+521−521−521−521−52000000000000000000000000000
χ404444-244−1−5−1+5-2-2-2−1−5−1−5−1+5−1+5−1−5−1+5-2-21+521−52−1−5−1−5−1+5−1+51+521+521−521−521+521−52-4221+51+51−51−51+521+521−521−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52000000000000000000000000000
χ414444-244−1+5−1−5-2-2-2−1+5−1+5−1−5−1−5−1+5−1−5-2-21−521+52−1+5−1+5−1−5−1−51−521−521+521+521−521+524-2-2−1+5−1+5−1−5−1−51−521−521+521+521−521−521−521−521+521+521+521+52000000000000000000000000000
χ424444-244−1+5−1−5-2-2-2−1+5−1+5−1−5−1−5−1+5−1−5-2-21−521+52−1+5−1+5−1−5−1−51−521−521+521+521−521+52-4221−51−51+51+51−521−521+521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52000000000000000000000000000
χ434444-2-4-444-2-2-244444422-2-2-4-4-4-4-2-2-2-2-2-20000000222200000000000000000000000000000000000
χ444444-2-4-4−1−5−1+5-2-2-2−1−5−1−5−1+5−1+5−1−5−1+5221+521−521+51+51−51−51+521+521−521−521+521−52000−2ζ28+2ζ52−2ζ68+2ζ922ζ28−2ζ52+2ζ68−2ζ922ζ4+2ζ44−2ζ76−2ζ116−2ζ4−2ζ44+2ζ76+2ζ116−1−52−1−52−1+52−1+52ζ28−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−ζ116000000000000000000000000000
χ454444-2-4-4−1−5−1+5-2-2-2−1−5−1−5−1+5−1+5−1−5−1+5221+521−521+51+51−51−51+521+521−521−521+521−520002ζ28−2ζ52+2ζ68−2ζ92−2ζ28+2ζ52−2ζ68+2ζ92−2ζ4−2ζ44+2ζ76+2ζ1162ζ4+2ζ44−2ζ76−2ζ116−1−52−1−52−1+52−1+52−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+ζ116000000000000000000000000000
χ464444-2-4-4−1+5−1−5-2-2-2−1+5−1+5−1−5−1−5−1+5−1−5221−521+521−51−51+51+51−521−521+521+521−521+520002ζ4+2ζ44−2ζ76−2ζ116−2ζ4−2ζ44+2ζ76+2ζ1162ζ28−2ζ52+2ζ68−2ζ92−2ζ28+2ζ52−2ζ68+2ζ92−1+52−1+52−1−52−1−52−ζ4−ζ44+ζ76+ζ116−ζ4−ζ44+ζ76+ζ116ζ4+ζ44−ζ76−ζ116ζ4+ζ44−ζ76−ζ116−ζ28+ζ52−ζ68+ζ92−ζ28+ζ52−ζ68+ζ92ζ28−ζ52+ζ68−ζ92ζ28−ζ52+ζ68−ζ92000000000000000000000000000
χ474444-2-4-4−1+5−1−5-2-2-2−1+5−1+5−1−5−1−5−1+5−1−5221−521+521−51−51+51+51−521−521+521+521−521+52000−2ζ4−2ζ44+2ζ76+2ζ1162ζ4+2ζ44−2ζ76−2ζ116−2ζ28+2ζ52−2ζ68+2ζ922ζ28−2ζ52+2ζ68−2ζ92−1+52−1+52−1−52−1−52ζ4+ζ44−ζ76−ζ116ζ4+ζ44−ζ76−ζ116−ζ4−ζ44+ζ76+ζ116−ζ4−ζ44+ζ76+ζ116ζ28−ζ52+ζ68−ζ92ζ28−ζ52+ζ68−ζ92−ζ28+ζ52−ζ68+ζ92−ζ28+ζ52−ζ68+ζ92000000000000000000000000000
χ4844-4-4400444-4-44-44-4-4-4004400004-44-4-4-40000000000000000000000000000000000000000000000
χ4944-4-4400−1−5−1+54-4-4−1−51+5−1+51−51+51−500−1−5−1+50000−1−51+5−1+51−51+51−5000000000000000000000−2ζ28+2ζ52−2ζ68+2ζ922ζ28−2ζ52+2ζ68−2ζ92002ζ4+2ζ44−2ζ76−2ζ116−2ζ4−2ζ44+2ζ76+2ζ1160000000000000000000
χ5044-4-4400−1−5−1+54-4-4−1−51+5−1+51−51+51−500−1−5−1+50000−1−51+5−1+51−51+51−50000000000000000000002ζ28−2ζ52+2ζ68−2ζ92−2ζ28+2ζ52−2ζ68+2ζ9200−2ζ4−2ζ44+2ζ76+2ζ1162ζ4+2ζ44−2ζ76−2ζ1160000000000000000000
χ5144-4-4400−1+5−1−54-4-4−1+51−5−1−51+51−51+500−1+5−1−50000−1+51−5−1−51+51−51+50000000000000000000002ζ4+2ζ44−2ζ76−2ζ116−2ζ4−2ζ44+2ζ76+2ζ116002ζ28−2ζ52+2ζ68−2ζ92−2ζ28+2ζ52−2ζ68+2ζ920000000000000000000
χ5244-4-4400−1+5−1−54-4-4−1+51−5−1−51+51−51+500−1+5−1−50000−1+51−5−1−51+51−51+5000000000000000000000−2ζ4−2ζ44+2ζ76+2ζ1162ζ4+2ζ44−2ζ76−2ζ11600−2ζ28+2ζ52−2ζ68+2ζ922ζ28−2ζ52+2ζ68−2ζ920000000000000000000
χ5344-4-4-20044-2224-44-4-4-400-2-20000-22-222200000000000000000000000000000006−66−600000000000
χ5444-4-4-20044-2224-44-4-4-400-2-20000-22-22220000000000000000000000000000000−66−6600000000000
χ554-44-440044-44-4-44-44-4-400440000-44-44-4-40000000000000000000000000000000000000000000000
χ564-44-4400−1−5−1+5-44-41+5−1−51−5−1+51+51−500−1−5−1+500001+5−1−51−5−1+51+51−500000000000000000000000−2ζ28+2ζ52−2ζ68+2ζ922ζ28−2ζ52+2ζ68−2ζ92002ζ4+2ζ44−2ζ76−2ζ116−2ζ4−2ζ44+2ζ76+2ζ11600000000000000000
χ574-44-4400−1−5−1+5-44-41+5−1−51−5−1+51+51−500−1−5−1+500001+5−1−51−5−1+51+51−5000000000000000000000002ζ28−2ζ52+2ζ68−2ζ92−2ζ28+2ζ52−2ζ68+2ζ9200−2ζ4−2ζ44+2ζ76+2ζ1162ζ4+2ζ44−2ζ76−2ζ11600000000000000000
χ584-44-4400−1+5−1−5-44-41−5−1+51+5−1−51−51+500−1+5−1−500001−5−1+51+5−1−51−51+5000000000000000000000002ζ4+2ζ44−2ζ76−2ζ116−2ζ4−2ζ44+2ζ76+2ζ116002ζ28−2ζ52+2ζ68−2ζ92−2ζ28+2ζ52−2ζ68+2ζ9200000000000000000
χ594-44-4400−1+5−1−5-44-41−5−1+51+5−1−51−51+500−1+5−1−500001−5−1+51+5−1−51−51+500000000000000000000000−2ζ4−2ζ44+2ζ76+2ζ1162ζ4+2ζ44−2ζ76−2ζ11600−2ζ28+2ζ52−2ζ68+2ζ922ζ28−2ζ52+2ζ68−2ζ9200000000000000000
χ604-44-4-200442-22-44-44-4-400-2-200002-22-22200000000000000000000000000000006−6−6600000000000
χ614-44-4-200442-22-44-44-4-400-2-200002-22-2220000000000000000000000000000000−666−600000000000
χ624-4-4444-4−1−5−1+5-4-441+51+51−51−5−1−5−1+5-44−1−5−1+5−1−51+5−1+51−51+51+51−51−5−1−5−1+50000000−1−51+5−1+51−500000000000000000000000000000000000
χ634-4-4444-4−1+5−1−5-4-441−51−51+51+5−1+5−1−5-44−1+5−1−5−1+51−5−1−51+51−51−51+51+5−1+5−1−50000000−1+51−5−1−51+500000000000000000000000000000000000
χ644-4-444-44−1−5−1+5-4-441+51+51−51−5−1−5−1+54-4−1−5−1+51+5−1−51−5−1+51+51+51−51−5−1−5−1+500000001+5−1−51−5−1+500000000000000000000000000000000000
χ654-4-444-44−1+5−1−5-4-441−51−51+51+5−1+5−1−54-4−1+5−1−51−5−1+51+5−1−51−51−51+51+5−1+5−1−500000001−5−1+51+5−1−500000000000000000000000000000000000
χ664-4-44-24-4−1−5−1+522-21+51+51−51−5−1−5−1+52-21+521−52−1−51+5−1+51−5−1−52−1−52−1+52−1+521+521−520−2i32i300001+52−1−521−52−1+52ζ28+ζ52−ζ68−ζ92−ζ28−ζ52+ζ68+ζ92ζ28+ζ52−ζ68−ζ92−ζ28−ζ52+ζ68+ζ92ζ4−ζ44+ζ76−ζ116−ζ4+ζ44−ζ76+ζ116ζ4−ζ44+ζ76−ζ116−ζ4+ζ44−ζ76+ζ116000000000000000000000000000
χ674-4-44-24-4−1−5−1+522-21+51+51−51−5−1−5−1+52-21+521−52−1−51+5−1+51−5−1−52−1−52−1+52−1+521+521−5202i3−2i300001+52−1−521−52−1+52−ζ28−ζ52+ζ68+ζ92ζ28+ζ52−ζ68−ζ92−ζ28−ζ52+ζ68+ζ92ζ28+ζ52−ζ68−ζ92−ζ4+ζ44−ζ76+ζ116ζ4−ζ44+ζ76−ζ116−ζ4+ζ44−ζ76+ζ116ζ4−ζ44+ζ76−ζ116000000000000000000000000000
χ684-4-44-24-4−1+5−1−522-21−51−51+51+5−1+5−1−52-21−521+52−1+51−5−1−51+5−1+52−1+52−1−52−1−521−521+520−2i32i300001−52−1+521+52−1−52ζ4−ζ44+ζ76−ζ116−ζ4+ζ44−ζ76+ζ116ζ4−ζ44+ζ76−ζ116−ζ4+ζ44−ζ76+ζ116ζ28+ζ52−ζ68−ζ92−ζ28−ζ52+ζ68+ζ92ζ28+ζ52−ζ68−ζ92−ζ28−ζ52+ζ68+ζ92000000000000000000000000000
χ694-4-44-24-4−1+5−1−522-21−51−51+51+5−1+5−1−52-21−521+52−1+51−5−1−51+5−1+52−1+52−1−52−1−521−521+5202i3−2i300001−52−1+521+52−1−52−ζ4+ζ44−ζ76+ζ116ζ4−ζ44+ζ76−ζ116−ζ4+ζ44−ζ76+ζ116ζ4−ζ44+ζ76−ζ116−ζ28−ζ52+ζ68+ζ92ζ28+ζ52−ζ68−ζ92−ζ28−ζ52+ζ68+ζ92ζ28+ζ52−ζ68−ζ92000000000000000000000000000
χ704-4-44-2-444422-2-4-4-4-444-22-2-2-44-442222-2-200000002-22-200000000000000000000000000000000000
χ714-4-44-2-44−1−5−1+522-21+51+51−51−5−1−5−1+5-221+521−521+5−1−51−5−1+5−1−52−1−52−1+52−1+521+521−520000000−1−521+52−1+521−52ζ28−ζ52−ζ68+ζ92−ζ28+ζ52+ζ68−ζ92−ζ28+ζ52+ζ68−ζ92ζ28−ζ52−ζ68+ζ92−ζ4+ζ44+ζ76−ζ116ζ4−ζ44−ζ76+ζ116ζ4−ζ44−ζ76+ζ116−ζ4+ζ44+ζ76−ζ116000000000000000000000000000
χ724-4-44-2-44−1−5−1+522-21+51+51−51−5−1−5−1+5-221+521−521+5−1−51−5−1+5−1−52−1−52−1+52−1+521+521−520000000−1−521+52−1+521−52−ζ28+ζ52+ζ68−ζ92ζ28−ζ52−ζ68+ζ92ζ28−ζ52−ζ68+ζ92−ζ28+ζ52+ζ68−ζ92ζ4−ζ44−ζ76+ζ116−ζ4+ζ44+ζ76−ζ116−ζ4+ζ44+ζ76−ζ116ζ4−ζ44−ζ76+ζ116000000000000000000000000000
χ734-4-44-2-44−1+5−1−522-21−51−51+51+5−1+5−1−5-221−521+521−5−1+51+5−1−5−1+52−1+52−1−52−1−521−521+520000000−1+521−52−1−521+52−ζ4+ζ44+ζ76−ζ116ζ4−ζ44−ζ76+ζ116ζ4−ζ44−ζ76+ζ116−ζ4+ζ44+ζ76−ζ116−ζ28+ζ52+ζ68−ζ92ζ28−ζ52−ζ68+ζ92ζ28−ζ52−ζ68+ζ92−ζ28+ζ52+ζ68−ζ92000000000000000000000000000
χ744-4-44-2-44−1+5−1−522-21−51−51+51+5−1+5−1−5-221−521+521−5−1+51+5−1−5−1+52−1+52−1−52−1−521−521+520000000−1+521−52−1−521+52ζ4−ζ44−ζ76+ζ116−ζ4+ζ44+ζ76−ζ116−ζ4+ζ44+ζ76−ζ116ζ4−ζ44−ζ76+ζ116ζ28−ζ52−ζ68+ζ92−ζ28+ζ52+ζ68−ζ92−ζ28+ζ52+ζ68−ζ92ζ28−ζ52−ζ68+ζ92000000000000000000000000000
χ7588-8-8-400−2−25−2+25-444−2−252+25−2+252−252+252−25001+51−500001+5−1−51−5−1+5−1−5−1+50000000000000000000000000000000000000000000000
χ7688-8-8-400−2+25−2−25-444−2+252−25−2−252+252−252+25001−51+500001−5−1+51+5−1−5−1+5−1−50000000000000000000000000000000000000000000000
χ778-88-8-400−2−25−2+254-442+25−2−252−25−2+252+252−25001+51−50000−1−51+5−1+51−5−1−5−1+50000000000000000000000000000000000000000000000
χ788-88-8-400−2+25−2−254-442−25−2+252+25−2−252−252+25001−51+50000−1+51−5−1−51+5−1+5−1−50000000000000000000000000000000000000000000000

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