Finite Group Databasebeta

← Group #11747291

Character table — Group #11747291

Order 960.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81
size1111222222222222224444444444444466888888888888888888812121212121212121220202020202020202424242424404060606060
order12223445566610101010101012121515202020203030303030304441212202020206060606060606060606060604202020202020202044882424242442020202012124488
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111-1-1-1-1-1-1
χ31111111111111111111111111111111111-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-1-11111-1-1
χ41111111111111111111111111111111111-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111-1-1111111-1-1-1-1-1-1-1-1-111
χ511111111111111111111111111111111-1-11111111111111111111-1-1-1-1-1-1-1-1-111111111-1-1-1-1-111-1-1-1-1
χ611111111111111111111111111111111-1-11111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ711111111111111111111111111111111-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111111-1-111
χ811111111111111111111111111111111-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111-1-111-1-1
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+5222222−1−52−1−52−1+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+52000000002−1−52−1−52−1+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+5222-2-2-21+521+521−521−52−1−52−1−52−1+52−1+521+521+521+521+521−521−521−521−522−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+5200000000-21+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+52-2-2222−1−52−1−52−1+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+52-21+521+521−521−521+521+521−521−5200000000-21+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+52-2-2-2-2-21+521+521−521−52−1−52−1−52−1+52−1+521+521+521+521+521−521−521−521−52-21+521+521−521−521+521+521−521−52000000002−1−52−1−52−1+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+52−1−5222222−1+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+52−1−52−1−52000000002−1+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+52−1−5222-2-2-21−521−521+521+52−1+52−1+52−1−52−1−521−521−521−521−521+521+521+521+522−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5200000000-21−521−521+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+52−1−52-2-2222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52-21−521−521+521+521−521−521+521+5200000000-21−521−521+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+52−1−52-2-2-2-2-21−521−521+521+52−1+52−1+52−1−52−1−521−521−521−521−521+521+521+521+52-21−521−521+521+521−521−521+521+52000000002−1+52−1+52−1−52−1−52000000
χ1722222-2-222222222222-2-222-2-2-2-2222222220000000-2-2-2-200000000-22222-2-2-2-20000000000000000000
χ1822222-2-222222222222-2-222-2-2-2-2222222-2-20000000-2-2-2-2000000002-2-2-2-222220000000000000000000
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+5222000−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+ζ116-2−1−52−1−52−1+52−1+521+521+521−521−52000000000−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+5222000ζ28−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−ζ116-2−1−52−1−52−1+52−1+521+521+521−521−52000000000ζ28−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+52-2-2000−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+ζ11621+521+521−521−52−1−52−1−52−1+52−1+52000000000ζ28−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+52-2-2000ζ28−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−ζ11621+521+521−521−52−1−52−1−52−1+52−1+52000000000−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+52−1−5222000ζ4+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+ζ92-2−1+52−1+52−1−52−1−521−521−521+521+52000000000ζ4+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+52−1−5222000−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−ζ92-2−1+52−1+52−1−52−1−521−521−521+521+52000000000−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+52−1−52-2-2000ζ4+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+ζ9221−521−521+521+52−1+52−1+52−1−52−1−52000000000−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+52−1−52-2-2000−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−ζ9221−521−521+521+52−1+52−1+52−1−52−1−52000000000ζ4+ζ44−ζ76−ζ116−ζ4−ζ44+ζ76+ζ116ζ28−ζ52+ζ68−ζ92−ζ28+ζ52−ζ68+ζ92000000
χ272222-12222-1-1-1222222-1-1-1-12222-1-1-1-1-1-1002-1-12222-1-1-1-1-1-1-1-1-1-1-1-10000000002222-1-1-1-100000-1-10000
χ282222-12222-1-1-1222222-1-1-1-12222-1-1-1-1-1-1002-1-12222-1-1-1-1-1-1-1-1-1-1-1-1000000000-2-2-2-2111100000110000
χ292222-12222-1-1-1222222-1-1-1-12222-1-1-1-1-1-100-211-2-2-2-2-1-1-1-11111111100000000022-2-2111100000-1-10000
χ302222-12222-1-1-1222222-1-1-1-12222-1-1-1-1-1-100-211-2-2-2-2-1-1-1-111111111000000000-2-222-1-1-1-100000110000
χ312-22-220022-2-22-2-2-2-2220022000022-2-2-2-22i−2i000000000000000000002i−2i2i−2i000000−i2i2−i2−i2i2i20000000002−2
χ322-22-220022-2-22-2-2-2-2220022000022-2-2-2-22i−2i000000000000000000002i−2i2i−2i000000i2−i2i2i2−i2−i2000000000−22
χ332-22-220022-2-22-2-2-2-2220022000022-2-2-2-2−2i2i00000000000000000000−2i2i−2i2i000000−i2i2−i2−i2i2i2000000000−22
χ342-22-220022-2-22-2-2-2-2220022000022-2-2-2-2−2i2i00000000000000000000−2i2i−2i2i000000i2−i2i2i2−i2−i20000000002−2
χ352-2-2222-2222-2-222-2-2-2-22-2222-22-2-2-222-2-20000000002-22-2000000000000000000000000000000002-200
χ362-2-2222-2222-2-222-2-2-2-22-2222-22-2-2-222-2-20000000002-22-200000000000000000000000000000000-2200
χ372-2-222-22222-2-222-2-2-2-2-2222-22-22-2-222-2-2000000000-22-22000000000000000002i−2i000000000002i−2i0000
χ382-2-222-22222-2-222-2-2-2-2-2222-22-22-2-222-2-2000000000-22-2200000000000000000−2i2i00000000000−2i2i0000
χ392-2-22-1-2222-11122-2-2-2-21-1-1-1-22-2211-1-1110003−300001-11-13−33−33−33−30000000002i−2i00−i3i3−i3i300000−ii0000
χ402-2-22-1-2222-11122-2-2-2-21-1-1-1-22-2211-1-1110003−300001-11-13−33−33−33−3000000000−2i2i00i3−i3i3−i300000i−i0000
χ412-2-22-1-2222-11122-2-2-2-21-1-1-1-22-2211-1-111000−3300001-11-1−33−33−33−330000000002i−2i00i3−i3i3−i300000−ii0000
χ422-2-22-1-2222-11122-2-2-2-21-1-1-1-22-2211-1-111000−3300001-11-1−33−33−33−33000000000−2i2i00−i3i3−i3i300000i−i0000
χ434444-244−1−5−1+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+521−52004-2-2−1−5−1−5−1+5−1+51+521+521−521−521+521+521+521+521−521−521−521−520000000000000000000000000000
χ444444-244−1−5−1+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+521−5200-4221+51+51−51−51+521+521−521−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+520000000000000000000000000000
χ454444-244−1+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+52004-2-2−1+5−1+5−1−5−1−51−521−521+521+521−521−521−521−521+521+521+521+520000000000000000000000000000
χ464444-244−1+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+5200-4221−51−51+51+51−521−521+521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−520000000000000000000000000000
χ474444-2-4-444-2-2-244444422-2-2-4-4-4-4-2-2-2-2-2-20000000002222000000000000000000000000000000000000
χ484444-2-4-4−1−5−1+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+521−5200000−2ζ28+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−ζ1160000000000000000000000000000
χ494444-2-4-4−1−5−1+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+521−52000002ζ28−2ζ52+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+ζ1160000000000000000000000000000
χ504444-2-4-4−1+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+52000002ζ4+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−ζ920000000000000000000000000000
χ514444-2-4-4−1+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+5200000−2ζ4−2ζ44+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+ζ920000000000000000000000000000
χ5244-4-440044-44-4-4-444-4-400440000-4-4-4-4440000000000000000000000000000000000000000000000000
χ5344-4-4400−1−5−1+5-44-41+51−5−1−5−1+51+51−500−1−5−1+500001+51−51+51−5−1−5−1+500000000000000000000000000−2ζ22+2ζ38−2ζ62+2ζ1182ζ22−2ζ38+2ζ62−2ζ1182ζ14−2ζ46−2ζ86+2ζ94−2ζ14+2ζ46+2ζ86−2ζ940000000000000000000
χ5444-4-4400−1−5−1+5-44-41+51−5−1−5−1+51+51−500−1−5−1+500001+51−51+51−5−1−5−1+5000000000000000000000000002ζ22−2ζ38+2ζ62−2ζ118−2ζ22+2ζ38−2ζ62+2ζ118−2ζ14+2ζ46+2ζ86−2ζ942ζ14−2ζ46−2ζ86+2ζ940000000000000000000
χ5544-4-4400−1+5−1−5-44-41−51+5−1+5−1−51−51+500−1+5−1−500001−51+51−51+5−1+5−1−5000000000000000000000000002ζ14−2ζ46−2ζ86+2ζ94−2ζ14+2ζ46+2ζ86−2ζ942ζ22−2ζ38+2ζ62−2ζ118−2ζ22+2ζ38−2ζ62+2ζ1180000000000000000000
χ5644-4-4400−1+5−1−5-44-41−51+5−1+5−1−51−51+500−1+5−1−500001−51+51−51+5−1+5−1−500000000000000000000000000−2ζ14+2ζ46+2ζ86−2ζ942ζ14−2ζ46−2ζ86+2ζ94−2ζ22+2ζ38−2ζ62+2ζ1182ζ22−2ζ38+2ζ62−2ζ1180000000000000000000
χ5744-4-4-200442-22-4-444-4-400-2-200002222-2-200000000000000000000000000000000006−6−6600000000000
χ5844-4-4-200442-22-4-444-4-400-2-200002222-2-20000000000000000000000000000000000−666−600000000000
χ594-44-4400−1−5−1+5-4-441+51−51+51−5−1−5−1+500−1−5−1+50000−1−5−1+51+51−51+51−54i−4i00000000000000000000−2ζ22−2ζ38−2ζ62−2ζ1182ζ22+2ζ38+2ζ62+2ζ118−2ζ14−2ζ46−2ζ86−2ζ942ζ14+2ζ46+2ζ86+2ζ9400000000000000000000000
χ604-44-4400−1−5−1+5-4-441+51−51+51−5−1−5−1+500−1−5−1+50000−1−5−1+51+51−51+51−5−4i4i000000000000000000002ζ22+2ζ38+2ζ62+2ζ118−2ζ22−2ζ38−2ζ62−2ζ1182ζ14+2ζ46+2ζ86+2ζ94−2ζ14−2ζ46−2ζ86−2ζ9400000000000000000000000
χ614-44-4400−1+5−1−5-4-441−51+51−51+5−1+5−1−500−1+5−1−50000−1+5−1−51−51+51−51+54i−4i00000000000000000000−2ζ14−2ζ46−2ζ86−2ζ942ζ14+2ζ46+2ζ86+2ζ94−2ζ22−2ζ38−2ζ62−2ζ1182ζ22+2ζ38+2ζ62+2ζ11800000000000000000000000
χ624-44-4400−1+5−1−5-4-441−51+51−51+5−1+5−1−500−1+5−1−50000−1+5−1−51−51+51−51+5−4i4i000000000000000000002ζ14+2ζ46+2ζ86+2ζ94−2ζ14−2ζ46−2ζ86−2ζ942ζ22+2ζ38+2ζ62+2ζ118−2ζ22−2ζ38−2ζ62−2ζ11800000000000000000000000
χ634-44-4-2004422-2-4-4-4-44400-2-20000-2-2222200000000000000000000000000000000−2i22i2i2i2−i2−i200000000000
χ644-44-4-2004422-2-4-4-4-44400-2-20000-2-22222000000000000000000000000000000002i2−2i2−i2−i2i2i200000000000
χ654-4-4444-4−1−5−1+54-4-4−1−5−1+51+51−51+51−54-4−1−5−1+5−1−51+5−1+51−51+51−5−1−5−1+51+51−5000000000−1−51+5−1+51−5000000000000000000000000000000000000
χ664-4-4444-4−1+5−1−54-4-4−1+5−1−51−51+51−51+54-4−1+5−1−5−1+51−5−1−51+51−51+5−1+5−1−51−51+5000000000−1+51−5−1−51+5000000000000000000000000000000000000
χ674-4-444-44−1−5−1+54-4-4−1−5−1+51+51−51+51−5-44−1−5−1+51+5−1−51−5−1+51+51−5−1−5−1+51+51−50000000001+5−1−51−5−1+5000000000000000000000000000000000000
χ684-4-444-44−1+5−1−54-4-4−1+5−1−51−51+51−51+5-44−1+5−1−51−5−1+51+5−1−51−51+5−1+5−1−51−51+50000000001−5−1+51+5−1−5000000000000000000000000000000000000
χ694-4-44-24-444-22244-4-4-4-4-22-2-24-44-422-2-222000000000-22-22000000000000000000000000000000000000
χ704-4-44-24-4−1−5−1+5-222−1−5−1+51+51−51+51−5-221+521−52−1−51+5−1+51−5−1−52−1+521+521−52−1−52−1+520000000001+52−1−521−52−1+52ζ22+ζ38−ζ62−ζ118−ζ22−ζ38+ζ62+ζ118−ζ22−ζ38+ζ62+ζ118ζ22+ζ38−ζ62−ζ118−ζ14−ζ46+ζ86+ζ94ζ14+ζ46−ζ86−ζ94ζ14+ζ46−ζ86−ζ94−ζ14−ζ46+ζ86+ζ940000000000000000000000000000
χ714-4-44-24-4−1−5−1+5-222−1−5−1+51+51−51+51−5-221+521−52−1−51+5−1+51−5−1−52−1+521+521−52−1−52−1+520000000001+52−1−521−52−1+52−ζ22−ζ38+ζ62+ζ118ζ22+ζ38−ζ62−ζ118ζ22+ζ38−ζ62−ζ118−ζ22−ζ38+ζ62+ζ118ζ14+ζ46−ζ86−ζ94−ζ14−ζ46+ζ86+ζ94−ζ14−ζ46+ζ86+ζ94ζ14+ζ46−ζ86−ζ940000000000000000000000000000
χ724-4-44-24-4−1+5−1−5-222−1+5−1−51−51+51−51+5-221−521+52−1+51−5−1−51+5−1+52−1−521−521+52−1+52−1−520000000001−52−1+521+52−1−52−ζ14−ζ46+ζ86+ζ94ζ14+ζ46−ζ86−ζ94ζ14+ζ46−ζ86−ζ94−ζ14−ζ46+ζ86+ζ94−ζ22−ζ38+ζ62+ζ118ζ22+ζ38−ζ62−ζ118ζ22+ζ38−ζ62−ζ118−ζ22−ζ38+ζ62+ζ1180000000000000000000000000000
χ734-4-44-24-4−1+5−1−5-222−1+5−1−51−51+51−51+5-221−521+52−1+51−5−1−51+5−1+52−1−521−521+52−1+52−1−520000000001−52−1+521+52−1−52ζ14+ζ46−ζ86−ζ94−ζ14−ζ46+ζ86+ζ94−ζ14−ζ46+ζ86+ζ94ζ14+ζ46−ζ86−ζ94ζ22+ζ38−ζ62−ζ118−ζ22−ζ38+ζ62+ζ118−ζ22−ζ38+ζ62+ζ118ζ22+ζ38−ζ62−ζ1180000000000000000000000000000
χ744-4-44-2-44−1−5−1+5-222−1−5−1+51+51−51+51−52-21+521−521+5−1−51−5−1+5−1−52−1+521+521−52−1−52−1+5200023−230000−1−521+52−1+521−52−ζ22+ζ38+ζ62−ζ118ζ22−ζ38−ζ62+ζ118−ζ22+ζ38+ζ62−ζ118ζ22−ζ38−ζ62+ζ118ζ14−ζ46+ζ86−ζ94−ζ14+ζ46−ζ86+ζ94ζ14−ζ46+ζ86−ζ94−ζ14+ζ46−ζ86+ζ940000000000000000000000000000
χ754-4-44-2-44−1−5−1+5-222−1−5−1+51+51−51+51−52-21+521−521+5−1−51−5−1+5−1−52−1+521+521−52−1−52−1+52000−23230000−1−521+52−1+521−52ζ22−ζ38−ζ62+ζ118−ζ22+ζ38+ζ62−ζ118ζ22−ζ38−ζ62+ζ118−ζ22+ζ38+ζ62−ζ118−ζ14+ζ46−ζ86+ζ94ζ14−ζ46+ζ86−ζ94−ζ14+ζ46−ζ86+ζ94ζ14−ζ46+ζ86−ζ940000000000000000000000000000
χ764-4-44-2-44−1+5−1−5-222−1+5−1−51−51+51−51+52-21−521+521−5−1+51+5−1−5−1+52−1−521−521+52−1+52−1−5200023−230000−1+521−52−1−521+52ζ14−ζ46+ζ86−ζ94−ζ14+ζ46−ζ86+ζ94ζ14−ζ46+ζ86−ζ94−ζ14+ζ46−ζ86+ζ94−ζ22+ζ38+ζ62−ζ118ζ22−ζ38−ζ62+ζ118−ζ22+ζ38+ζ62−ζ118ζ22−ζ38−ζ62+ζ1180000000000000000000000000000
χ774-4-44-2-44−1+5−1−5-222−1+5−1−51−51+51−51+52-21−521+521−5−1+51+5−1−5−1+52−1−521−521+52−1+52−1−52000−23230000−1+521−52−1−521+52−ζ14+ζ46−ζ86+ζ94ζ14−ζ46+ζ86−ζ94−ζ14+ζ46−ζ86+ζ94ζ14−ζ46+ζ86−ζ94ζ22−ζ38−ζ62+ζ118−ζ22+ζ38+ζ62−ζ118ζ22−ζ38−ζ62+ζ118−ζ22+ζ38+ζ62−ζ1180000000000000000000000000000
χ7888-8-8-400−2−25−2+254-442+252−25−2−25−2+252+252−25001+51−50000−1−5−1+5−1−5−1+51+51−50000000000000000000000000000000000000000000000000
χ7988-8-8-400−2+25−2−254-442−252+25−2+25−2−252−252+25001−51+50000−1+5−1−5−1+5−1−51−51+50000000000000000000000000000000000000000000000000
χ808-88-8-400−2−25−2+2544-42+252−252+252−25−2−25−2+25001+51−500001+51−5−1−5−1+5−1−5−1+50000000000000000000000000000000000000000000000000
χ818-88-8-400−2+25−2−2544-42−252+252−252+25−2+25−2−25001−51+500001−51+5−1+5−1−5−1+5−1−50000000000000000000000000000000000000000000000000

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