Finite Group Databasebeta

← Group #13085801

Character table — Group #13085801

Order 1440.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81
size112222222224444444444444444888888888888121212121212121212121818181818182020202020202020202424242424242424242436366060120120180
order12334556610103612121212151515152020303030301515303060606060606060602210101010101010102410101010824242424242424246630303030303030302020246128
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1
χ31111111111111111111111111111111111111111-11111-1-1-1-1-1-1-1-1-1-11111111111-11111-1-1-1-1-1-1-11-11-1
χ41111111111111111111111111111111111111111-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11111-1-1-1-1-1-11-11-11
χ5111111111111111111111111111111111111111-11-1-1-1-11111-1-1-1-1-1-1111111111-11-1-1-1-11111-1-11-11-1-1
χ6111111111111111111111111111111111111111-11-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-11111-1-1-11-111
χ7111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-11
χ8111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1
χ922222−1−52−1+5222−1−52−1+52222222−1−52−1−52−1+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+5222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+5222−1−52−1−52−1+52−1+5200000000022−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1+5200000
χ1022222−1−52−1+5222−1−52−1+52222222−1−52−1−52−1+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+522-2−1−52−1−52−1+52−1+521+521+521−521−52-2-21+521+521−521−520000000002-2−1−52−1−52−1+52−1+521+521+521−521−521+521−5200000
χ1122222−1−52−1+5222−1−52−1+52222222−1−52−1−52−1+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+52-221+521+521−521−52−1−52−1−52−1+52−1+52-2-21+521+521−521−52000000000-221+521+521−521−52−1−52−1−52−1+52−1+521+521−5200000
χ1222222−1−52−1+5222−1−52−1+52222222−1−52−1−52−1+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+52-2-21+521+521−521−521+521+521−521−5222−1−52−1−52−1+52−1+52000000000-2-21+521+521−521−521+521+521−521−52−1−52−1+5200000
χ1322222−1+52−1−5222−1+52−1−52222222−1+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+52−1−52−1−5222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5222−1+52−1+52−1−52−1−5200000000022−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1−5200000
χ1422222−1+52−1−5222−1+52−1−52222222−1+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+52−1−52−1−522-2−1+52−1+52−1−52−1−521−521−521+521+52-2-21−521−521+521+520000000002-2−1+52−1+52−1−52−1−521−521−521+521+521−521+5200000
χ1522222−1+52−1−5222−1+52−1−52222222−1+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+52−1−52−1−52-221−521−521+521+52−1+52−1+52−1−52−1−52-2-21−521−521+521+52000000000-221−521−521+521+52−1+52−1+52−1−52−1−521−521+5200000
χ1622222−1+52−1−5222−1+52−1−52222222−1+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+52−1−52−1−52-2-21−521−521+521+521−521−521+521+5222−1+52−1+52−1−52−1−52000000000-2-21−521−521+521+521−521−521+521+52−1+52−1−5200000
χ172222-222222222-2-2-2-22222-2-222222222-2-2-2-2-2-2-2-200000000002-222220000000000000000000-2-200000
χ182222-222222222-2-2-2-22222-2-222222222-2-2-2-2-2-2-2-20000000000-22-2-2-2-200000000000000000002200000
χ192222-2−1−52−1+5222−1−52−1+5222-2-2-2-2−1−52−1−52−1+52−1+521+521−52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+521+521+521−521−521+521+521−521−5200−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+ζ1162-2−1−52−1−52−1+52−1+5200000000000−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+ζ1161+521−5200000
χ202222-2−1−52−1+5222−1−52−1+5222-2-2-2-2−1−52−1−52−1+52−1+521+521−52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+521+521+521−521−521+521+521−521−5200−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−ζ116-221+521+521−521−5200000000000−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−ζ116−1−52−1+5200000
χ212222-2−1−52−1+5222−1−52−1+5222-2-2-2-2−1−52−1−52−1+52−1+521+521−52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+521+521+521−521−521+521+521−521−5200ζ28−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+ζ116-221+521+521−521−5200000000000ζ28−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+ζ116−1−52−1+5200000
χ222222-2−1−52−1+5222−1−52−1+5222-2-2-2-2−1−52−1−52−1+52−1+521+521−52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+521+521+521−521−521+521+521−521−5200ζ28−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−ζ1162-2−1−52−1−52−1+52−1+5200000000000ζ28−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−ζ1161+521−5200000
χ232222-2−1+52−1−5222−1+52−1−5222-2-2-2-2−1+52−1+52−1−52−1−521−521+52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−521−521−521+521+521−521−521+521+5200ζ4+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+ζ922-2−1+52−1+52−1−52−1−5200000000000ζ4+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+ζ921−521+5200000
χ242222-2−1+52−1−5222−1+52−1−5222-2-2-2-2−1+52−1+52−1−52−1−521−521+52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−521−521−521+521+521−521−521+521+5200ζ4+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−ζ92-221−521−521+521+5200000000000ζ4+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−ζ92−1+52−1−5200000
χ252222-2−1+52−1−5222−1+52−1−5222-2-2-2-2−1+52−1+52−1−52−1−521−521+52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−521−521−521+521+521−521−521+521+5200−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+ζ92-221−521−521+521+5200000000000−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+ζ92−1+52−1−5200000
χ262222-2−1+52−1−5222−1+52−1−5222-2-2-2-2−1+52−1+52−1−52−1−521−521+52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−521−521−521+521+521−521−521+521+5200−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−ζ922-2−1+52−1+52−1−52−1−5200000000000−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−ζ921−521+5200000
χ27222-1222-1222-1-1-12-1-12-12-1222-12-1-1-1-1-12-12-1-1-1-1-10200002222000000222-1-1-1-1-1-10-10000-1-1-1-10020-100
χ28222-1222-1222-1-1-12-1-12-12-1222-12-1-1-1-1-12-12-1-1-1-1-10200002222000000-2-2-21111110-10000-1-1-1-100-20100
χ29222-1222-1222-1-1-12-1-12-12-1222-12-1-1-1-1-12-12-1-1-1-1-10-20000-2-2-2-2000000222-1-1-1-1-1-1010000111100-20100
χ30222-1222-1222-1-1-12-1-12-12-1222-12-1-1-1-1-12-12-1-1-1-1-10-20000-2-2-2-2000000-2-2-211111101000011110020-100
χ3122-122222-122-1-12-1-1-1-12-1222-12-12-1-1-1-1-12-12-1-1-1-120222200000000002-1-122-1-1-1-1-10-1-1-1-1000000020-10
χ3222-122222-122-1-12-1-1-1-12-1222-12-12-1-1-1-1-12-12-1-1-1-12022220000000000-211-2-21111-10-1-1-1-10000000-2010
χ3322-122222-122-1-12-1-1-1-12-1222-12-12-1-1-1-1-12-12-1-1-1-1-20-2-2-2-200000000002-1-122-1-1-1-11011110000000-2010
χ3422-122222-122-1-12-1-1-1-12-1222-12-12-1-1-1-1-12-12-1-1-1-1-20-2-2-2-20000000000-211-2-21111101111000000020-10
χ35444-24−1−5−1+5-24−1−5−1+5-2-2-24-2-2−1−51+52−1+51−52−1−5−1+5−1−51+52−1+51−521+521−521+521−52−1−51+52−1+51−521+521+521−521−52040000−1−5−1−5−1+5−1+50000000000000000-200001+521+521−521−520000000
χ36444-24−1−5−1+5-24−1−5−1+5-2-2-24-2-2−1−51+52−1+51−52−1−5−1+5−1−51+52−1+51−521+521−521+521−52−1−51+52−1+51−521+521+521−521−520-400001+51+51−51−5000000000000000020000−1−52−1−52−1+52−1+520000000
χ37444-24−1+5−1−5-24−1+5−1−5-2-2-24-2-2−1+51−52−1−51+52−1+5−1−5−1+51−52−1−51+521−521+521−521+52−1+51−52−1−51+521−521−521+521+52040000−1+5−1+5−1−5−1−50000000000000000-200001−521−521+521+520000000
χ38444-24−1+5−1−5-24−1+5−1−5-2-2-24-2-2−1+51−52−1−51+52−1+5−1−5−1+51−52−1−51+521−521+521−521+52−1+51−52−1−51+521−521−521+521+520-400001−51−51+51+5000000000000000020000−1+52−1+52−1−52−1−520000000
χ39444-2-444-2444-2-22-4224-24-2-4-44-24-2-2-2-2-2-42-422222000000000000000000000000000000000000000000
χ40444-2-4−1−5−1+5-24−1−5−1+5-2-22-422−1−51+52−1+51−521+51−5−1−51+52−1+51−521+521−521+521−521+5−1−521−5−1+52−1−52−1−52−1+52−1+52000000−2ζ28+2ζ52−2ζ68+2ζ922ζ28−2ζ52+2ζ68−2ζ922ζ4+2ζ44−2ζ76−2ζ116−2ζ4−2ζ44+2ζ76+2ζ116000000000000000000000ζ28−ζ52+ζ68−ζ92−ζ28+ζ52−ζ68+ζ92−ζ4−ζ44+ζ76+ζ116ζ4+ζ44−ζ76−ζ1160000000
χ41444-2-4−1−5−1+5-24−1−5−1+5-2-22-422−1−51+52−1+51−521+51−5−1−51+52−1+51−521+521−521+521−521+5−1−521−5−1+52−1−52−1−52−1+52−1+520000002ζ28−2ζ52+2ζ68−2ζ92−2ζ28+2ζ52−2ζ68+2ζ92−2ζ4−2ζ44+2ζ76+2ζ1162ζ4+2ζ44−2ζ76−2ζ116000000000000000000000−ζ28+ζ52−ζ68+ζ92ζ28−ζ52+ζ68−ζ92ζ4+ζ44−ζ76−ζ116−ζ4−ζ44+ζ76+ζ1160000000
χ42444-2-4−1+5−1−5-24−1+5−1−5-2-22-422−1+51−52−1−51+521−51+5−1+51−52−1−51+521−521+521−521+521−5−1+521+5−1−52−1+52−1+52−1−52−1−520000002ζ4+2ζ44−2ζ76−2ζ116−2ζ4−2ζ44+2ζ76+2ζ1162ζ28−2ζ52+2ζ68−2ζ92−2ζ28+2ζ52−2ζ68+2ζ92000000000000000000000−ζ4−ζ44+ζ76+ζ116ζ4+ζ44−ζ76−ζ116−ζ28+ζ52−ζ68+ζ92ζ28−ζ52+ζ68−ζ920000000
χ43444-2-4−1+5−1−5-24−1+5−1−5-2-22-422−1+51−52−1−51+521−51+5−1+51−52−1−51+521−521+521−521+521−5−1+521+5−1−52−1+52−1+52−1−52−1−52000000−2ζ4−2ζ44+2ζ76+2ζ1162ζ4+2ζ44−2ζ76−2ζ116−2ζ28+2ζ52−2ζ68+2ζ922ζ28−2ζ52+2ζ68−2ζ92000000000000000000000ζ4+ζ44−ζ76−ζ116−ζ4−ζ44+ζ76+ζ116ζ28−ζ52+ζ68−ζ92−ζ28+ζ52−ζ68+ζ920000000
χ4444-244−1−5−1+54-2−1−5−1+5-2-24-2-2-21+52−1−51−52−1+5−1−5−1+51+52−1−51−52−1+51+521−521+521−521+52−1−51−52−1+51+521+521−521−5240−1−5−1−5−1+5−1+50000000000000000000-201+521+521−521−5200000000000
χ4544-244−1−5−1+54-2−1−5−1+5-2-24-2-2-21+52−1−51−52−1+5−1−5−1+51+52−1−51−52−1+51+521−521+521−521+52−1−51−52−1+51+521+521−521−52-401+51+51−51−5000000000000000000020−1−52−1−52−1+52−1+5200000000000
χ4644-244−1+5−1−54-2−1+5−1−5-2-24-2-2-21−52−1+51+52−1−5−1+5−1−51−52−1+51+52−1−51−521+521−521+521−52−1+51+52−1−51−521−521+521+5240−1+5−1+5−1−5−1−50000000000000000000-201−521−521+521+5200000000000
χ4744-244−1+5−1−54-2−1+5−1−5-2-24-2-2-21−52−1+51+52−1−5−1+5−1−51−52−1+51+52−1−51−521+521−521+521−52−1+51+52−1−51−521−521+521+52-401−51−51+51+5000000000000000000020−1+52−1+52−1−52−1−5200000000000
χ4844-24-4444-244-2-2-4222-24-24-4-4-24-24-2-2-2-22-42-42222000000000000000000000000000000000000000000
χ4944-24-4−1−5−1+54-2−1−5−1+5-2-2-42221+52−1−51−52−1+51+51−51+52−1−51−52−1+51+521−521+521−52−1−521+5−1+521−5−1−52−1−52−1+52−1+5200−2ζ28+2ζ52−2ζ68+2ζ922ζ28−2ζ52+2ζ68−2ζ922ζ4+2ζ44−2ζ76−2ζ116−2ζ4−2ζ44+2ζ76+2ζ116000000000000000000000ζ28−ζ52+ζ68−ζ92−ζ28+ζ52−ζ68+ζ92−ζ4−ζ44+ζ76+ζ116ζ4+ζ44−ζ76−ζ11600000000000
χ5044-24-4−1−5−1+54-2−1−5−1+5-2-2-42221+52−1−51−52−1+51+51−51+52−1−51−52−1+51+521−521+521−52−1−521+5−1+521−5−1−52−1−52−1+52−1+52002ζ28−2ζ52+2ζ68−2ζ92−2ζ28+2ζ52−2ζ68+2ζ92−2ζ4−2ζ44+2ζ76+2ζ1162ζ4+2ζ44−2ζ76−2ζ116000000000000000000000−ζ28+ζ52−ζ68+ζ92ζ28−ζ52+ζ68−ζ92ζ4+ζ44−ζ76−ζ116−ζ4−ζ44+ζ76+ζ11600000000000
χ5144-24-4−1+5−1−54-2−1+5−1−5-2-2-42221−52−1+51+52−1−51−51+51−52−1+51+52−1−51−521+521−521+52−1+521−5−1−521+5−1+52−1+52−1−52−1−52002ζ4+2ζ44−2ζ76−2ζ116−2ζ4−2ζ44+2ζ76+2ζ1162ζ28−2ζ52+2ζ68−2ζ92−2ζ28+2ζ52−2ζ68+2ζ92000000000000000000000−ζ4−ζ44+ζ76+ζ116ζ4+ζ44−ζ76−ζ116−ζ28+ζ52−ζ68+ζ92ζ28−ζ52+ζ68−ζ9200000000000
χ5244-24-4−1+5−1−54-2−1+5−1−5-2-2-42221−52−1+51+52−1−51−51+51−52−1+51+52−1−51−521+521−521+52−1+521−5−1−521+5−1+52−1+52−1−52−1−5200−2ζ4−2ζ44+2ζ76+2ζ1162ζ4+2ζ44−2ζ76−2ζ116−2ζ28+2ζ52−2ζ68+2ζ922ζ28−2ζ52+2ζ68−2ζ92000000000000000000000ζ4+ζ44−ζ76−ζ116−ζ4−ζ44+ζ76+ζ116ζ28−ζ52+ζ68−ζ92−ζ28+ζ52−ζ68+ζ9200000000000
χ5344-2-2444-2-24411-2-211-2-2-2-244-2-2-2-21111-2-2-2-2111100000000000000004-2-2-2-2111100000000000000000
χ5444-2-2444-2-24411-2-211-2-2-2-244-2-2-2-21111-2-2-2-211110000000000000000-42222-1-1-1-100000000000000000
χ5544-2-2-444-2-2441122-1-1-2-2-2-2-4-4-2-2-2-211112222-1-1-1-10000000000000000000003i3i−3i−3i00000000000000000
χ5644-2-2-444-2-2441122-1-1-2-2-2-2-4-4-2-2-2-211112222-1-1-1-1000000000000000000000−3i−3i3i3i00000000000000000
χ574-444044-4-4-4-44-40000444400-4-4-4-444-4-400000000000000000000000000000000000000000000000000
χ584-4440−1−5−1+5-4-41+51−54-40000−1−5−1−5−1+5−1+5001+51+51−51−5−1−5−1+51+51−500000000000000000000−2ζ28+2ζ52−2ζ68+2ζ922ζ28−2ζ52+2ζ68−2ζ922ζ4+2ζ44−2ζ76−2ζ116−2ζ4−2ζ44+2ζ76+2ζ11600000000000000000000000000
χ594-4440−1−5−1+5-4-41+51−54-40000−1−5−1−5−1+5−1+5001+51+51−51−5−1−5−1+51+51−5000000000000000000002ζ28−2ζ52+2ζ68−2ζ92−2ζ28+2ζ52−2ζ68+2ζ92−2ζ4−2ζ44+2ζ76+2ζ1162ζ4+2ζ44−2ζ76−2ζ11600000000000000000000000000
χ604-4440−1+5−1−5-4-41−51+54-40000−1+5−1+5−1−5−1−5001−51−51+51+5−1+5−1−51−51+5000000000000000000002ζ4+2ζ44−2ζ76−2ζ116−2ζ4−2ζ44+2ζ76+2ζ1162ζ28−2ζ52+2ζ68−2ζ92−2ζ28+2ζ52−2ζ68+2ζ9200000000000000000000000000
χ614-4440−1+5−1−5-4-41−51+54-40000−1+5−1+5−1−5−1−5001−51−51+51+5−1+5−1−51−51+500000000000000000000−2ζ4−2ζ44+2ζ76+2ζ1162ζ4+2ζ44−2ζ76−2ζ116−2ζ28+2ζ52−2ζ68+2ζ922ζ28−2ζ52+2ζ68−2ζ9200000000000000000000000000
χ624-44-20442-4-4-4-2200004-24-200-42-42-2-222000000000000000000000000000−i6i6−i6i6−i6i600000000000000000
χ634-44-20442-4-4-4-2200004-24-200-42-42-2-222000000000000000000000000000i6−i6i6−i6i6−i600000000000000000
χ644-4-24044-42-4-4-220000-24-24002-42-4-2-22200000000000000000000000006−6006−6−6600000000000000000
χ654-4-24044-42-4-4-220000-24-24002-42-4-2-2220000000000000000000000000−6600−666−600000000000000000
χ664-4-2-204422-4-41-1003i−3i-2-2-2-200222211-1-100003i−3i3i−3i000000000000000006−6−i6i6−ζ7+ζ23−ζ31+ζ47+ζ71−ζ79−ζ103+ζ119ζ7−ζ23+ζ31−ζ47−ζ71+ζ79+ζ103−ζ119ζ13−ζ29+ζ37−ζ53+ζ61−ζ77−ζ101+ζ109−ζ13+ζ29−ζ37+ζ53−ζ61+ζ77+ζ101−ζ10900000000000000000
χ674-4-2-204422-4-41-1003i−3i-2-2-2-200222211-1-100003i−3i3i−3i00000000000000000−66i6−i6ζ7−ζ23+ζ31−ζ47−ζ71+ζ79+ζ103−ζ119−ζ7+ζ23−ζ31+ζ47+ζ71−ζ79−ζ103+ζ119−ζ13+ζ29−ζ37+ζ53−ζ61+ζ77+ζ101−ζ109ζ13−ζ29+ζ37−ζ53+ζ61−ζ77−ζ101+ζ10900000000000000000
χ684-4-2-204422-4-41-100−3i3i-2-2-2-200222211-1-10000−3i3i−3i3i000000000000000006−6i6−i6−ζ13+ζ29−ζ37+ζ53−ζ61+ζ77+ζ101−ζ109ζ13−ζ29+ζ37−ζ53+ζ61−ζ77−ζ101+ζ109ζ7−ζ23+ζ31−ζ47−ζ71+ζ79+ζ103−ζ119−ζ7+ζ23−ζ31+ζ47+ζ71−ζ79−ζ103+ζ11900000000000000000
χ694-4-2-204422-4-41-100−3i3i-2-2-2-200222211-1-10000−3i3i−3i3i00000000000000000−66−i6i6ζ13−ζ29+ζ37−ζ53+ζ61−ζ77−ζ101+ζ109−ζ13+ζ29−ζ37+ζ53−ζ61+ζ77+ζ101−ζ109−ζ7+ζ23−ζ31+ζ47+ζ71−ζ79−ζ103+ζ119ζ7−ζ23+ζ31−ζ47−ζ71+ζ79+ζ103−ζ11900000000000000000
χ7088-4-48−2−25−2+25-4-4−2−25−2+2522-4-4221+51+51−51−5−2−25−2+251+51+51−51−5−1−52−1+52−1−52−1+521+51+51−51−5−1−52−1−52−1+52−1+52000000000000000000000000000000000000000000
χ7188-4-48−2+25−2−25-4-4−2+25−2−2522-4-4221−51−51+51+5−2+25−2−251−51−51+51+5−1+52−1−52−1+52−1−521−51−51+51+5−1+52−1+52−1−52−1−52000000000000000000000000000000000000000000
χ7288-4-4-8−2−25−2+25-4-4−2−25−2+252244-2-21+51+51−51−52+252−251+51+51−51−5−1−52−1+52−1−52−1+52−1−5−1−5−1+5−1+51+521+521−521−52000000000000000000000000000000000000000000
χ7388-4-4-8−2+25−2−25-4-4−2+25−2−252244-2-21−51−51+51+52−252+251−51−51+51+5−1+52−1−52−1+52−1−52−1+5−1+5−1−5−1−51−521−521+521+52000000000000000000000000000000000000000000
χ748-88-40−2−25−2+254-82+252−25-440000−2−251+5−2+251−5002+25−1−52−25−1+51+51−5−1−5−1+500000000000000000000000000000000000000000000000000
χ758-88-40−2+25−2−254-82−252+25-440000−2+251−5−2−251+5002−25−1+52+25−1−51−51+5−1+5−1−500000000000000000000000000000000000000000000000000
χ768-8-480−2−25−2+25-842+252−25-4400001+5−2−251−5−2+2500−1−52+25−1+52−251+51−5−1−5−1+500000000000000000000000000000000000000000000000000
χ778-8-480−2+25−2−25-842−252+25-4400001−5−2+251+5−2−2500−1+52−25−1−52+251−51+5−1+5−1−500000000000000000000000000000000000000000000000000
χ788-8-4-40−2−25−2+25442+252−252-2006i−6i1+51+51−51−500−1−5−1−5−1+5−1+5−1−52−1+521+521−520000−3ζ22−3ζ38−3ζ62−3ζ1183ζ22+3ζ38+3ζ62+3ζ118−3ζ14−3ζ46−3ζ86−3ζ943ζ14+3ζ46+3ζ86+3ζ94000000000000000000000000000000000000000000
χ798-8-4-40−2−25−2+25442+252−252-200−6i6i1+51+51−51−500−1−5−1−5−1+5−1+5−1−52−1+521+521−5200003ζ22+3ζ38+3ζ62+3ζ118−3ζ22−3ζ38−3ζ62−3ζ1183ζ14+3ζ46+3ζ86+3ζ94−3ζ14−3ζ46−3ζ86−3ζ94000000000000000000000000000000000000000000
χ808-8-4-40−2+25−2−25442−252+252-2006i−6i1−51−51+51+500−1+5−1+5−1−5−1−5−1+52−1−521−521+520000−3ζ14−3ζ46−3ζ86−3ζ943ζ14+3ζ46+3ζ86+3ζ94−3ζ22−3ζ38−3ζ62−3ζ1183ζ22+3ζ38+3ζ62+3ζ118000000000000000000000000000000000000000000
χ818-8-4-40−2+25−2−25442−252+252-200−6i6i1−51−51+51+500−1+5−1+5−1−5−1−5−1+52−1−521−521+5200003ζ14+3ζ46+3ζ86+3ζ94−3ζ14−3ζ46−3ζ86−3ζ943ζ22+3ζ38+3ζ62+3ζ118−3ζ22−3ζ38−3ζ62−3ζ118000000000000000000000000000000000000000000

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