Finite Group Databasebeta

← Group #10615415

Character table — Group #10615415

Order 640.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79
size111122222222222244444444444444444444444444444448888888888888888888882020202020204040404040
order1222444455101010101010444444420202020202020202020202020202020202020202020202044420202020202020202020202020202020202044888844488
χ11111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111-1-11-1-11111111111111111-1-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1111111-1-1-1-1-1-1111111-11-1-1-1
χ4111111111111111111-1-11-1-11111111111111111-1-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11-1111
χ51111111111111111-1-1111111111-1-1-1-1-1-1-1-1111111111111-1-1-111-1-1-1-111-1-1-1-111-1-1-1-111-1-1-1-1111-1-1
χ61111111111111111-1-1111111111-1-1-1-1-1-1-1-1111111111111-1-1-111-1-1-1-111-1-1-1-111-1-1-1-1-1-11111-1-1-111
χ71111111111111111-1-1-1-11-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11-11-1-1111111-1-1-1-1-1-1111111-1-1-1-1-11-111
χ81111111111111111-1-1-1-11-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11-11-1-1111111-1-1-1-1-1-11111-1-111111-11-1-1
χ91111-1-11111111111111-1-11-1111111111111-1-1-1-11111-1-1-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-11-1-11-1
χ101111-1-11111111111111-1-11-1111111111111-1-1-1-11111-1-1-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111-111-11
χ111111-1-1111111111111-11-1-11111111111111-1-1-1-1-1-1-1-111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11-11
χ121111-1-1111111111111-11-1-11111111111111-1-1-1-1-1-1-1-111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-11-1
χ131111-1-11111111111-1-11-1-11-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-11111-1-1111111-1-1-1-111-1-1111-1-1-11
χ141111-1-11111111111-1-11-1-11-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-11111-1-1111111-1-1-1-1-1-111-1-1-1111-1
χ151111-1-11111111111-1-1-11-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-11111-1-1-1-1-1-11111-1-1111111-1-111-1-111-1
χ161111-1-11111111111-1-1-11-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-11111-1-1-1-1-1-11111-1-11111-1-111-1-111-1-11
χ1722222222−1+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+52−1−52−1−52222−1+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+52−1−52−1−5200000000000
χ1822222222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−5222-2-22-2-2−1+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+52−1−52−1−521−521−521+521+521−521−521+521+52-22-21−521+521−521−521+521+52−1+52−1−52−1+52−1+52−1−52−1−521−521+521−521−521+521+5200000000000
χ1922222222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52-2-222222−1+52−1+52−1−52−1−521−521−521−521−521+521+521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52-2-2-2−1+52−1−521−521−521+521+52−1+52−1−521−521−521+521+52−1+52−1−521−521−521+521+5200000000000
χ2022222222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52-2-2-2-22-2-2−1+52−1+52−1−52−1−521−521−521−521−521+521+521+521+52−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+522-221−521+52−1+52−1+52−1−52−1−52−1+52−1−521−521−521+521+521−521+52−1+52−1+52−1−52−1−5200000000000
χ2122222222−1−52−1+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+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+52−1−52−1−52−1+52−1+5200000000000
χ2222222222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+5222-2-22-2-2−1−52−1−52−1+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+521+521+521−521−521+521+521−521−52-22-21+521−521+521+521−521−52−1−52−1+52−1−52−1−52−1+52−1+521+521−521+521+521−521−5200000000000
χ2322222222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52-2-222222−1−52−1−52−1+52−1+521+521+521+521+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+52-2-2-2−1−52−1+521+521+521−521−52−1−52−1+521+521+521−521−52−1−52−1+521+521+521−521−5200000000000
χ2422222222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52-2-2-2-22-2-2−1−52−1−52−1+52−1+521+521+521+521+521−521−521−521−52−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−522-221+521−52−1−52−1−52−1+52−1+52−1−52−1+521+521+521−521−521+521−52−1−52−1−52−1+52−1+5200000000000
χ25222222-2-222222222002-2-2-22-2-2-2-200000000222222222222000-2-20000-2-20000-2-2000000000000000
χ26222222-2-22222222200-22-22-2-2-2-2-2000000002222-2-2-2-2-2-2-2-2000220000-2-2000022000000000000000
χ27222222-2-2−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52002-2-2-221−521−521+521+52ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ28−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ36−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−520001−521+52ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ361−521+52ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ361−521+52ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ3600000000000
χ28222222-2-2−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52002-2-2-221−521−521+521+52−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ28ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ36−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−520001−521+52−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ361−521+52−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ361−521+52−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ3600000000000
χ29222222-2-2−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−5200-22-22-21−521−521+521+52ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ28−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ36−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+52000−1+52−1−52−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ361−521+52ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36−1+52−1−52−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ3600000000000
χ30222222-2-2−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−5200-22-22-21−521−521+521+52−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ28ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ36−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+52000−1+52−1−52ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ361−521+52−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36−1+52−1−52ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ3600000000000
χ31222222-2-2−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52002-2-2-221+521+521−521−52−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ36−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ28−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+520001+521−52−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ281+521−52−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ281+521−52−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ2800000000000
χ32222222-2-2−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52002-2-2-221+521+521−521−52ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ36ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ28−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+520001+521−52ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ281+521−52ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ281+521−52ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ2800000000000
χ33222222-2-2−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+5200-22-22-21+521+521−521−52−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ36−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ28−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−52000−1−52−1+52ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ281+521−52−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28−1−52−1+52ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ2800000000000
χ34222222-2-2−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+5200-22-22-21+521+521−521−52ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ36ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ28−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−52000−1−52−1+52−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ281+521−52ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28−1−52−1+52−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ2800000000000
χ352222-2-222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52222-2-22-2−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−521−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+52-2-221−521+521−521−521+521+521−521+521−521−521+521+52−1+52−1−52−1+52−1+52−1−52−1−5200000000000
χ362222-2-222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−5222-22-2-22−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−521−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−522-2-2−1+52−1−52−1+52−1+52−1−52−1−521−521+521−521−521+521+521−521+521−521−521+521+5200000000000
χ372222-2-222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52-2-22-2-22-2−1+52−1+52−1−52−1−521−521−521−521−521+521+521+521+521−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+5222-21−521+52−1+52−1+52−1−52−1−521−521+52−1+52−1+52−1−52−1−52−1+52−1−521−521−521+521+5200000000000
χ382222-2-222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52-2-2-22-2-22−1+52−1+52−1−52−1−521−521−521−521−521+521+521+521+521−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−52-222−1+52−1−521−521−521+521+521−521+52−1+52−1+52−1−52−1−521−521+52−1+52−1+52−1−52−1−5200000000000
χ392222-2-222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52222-2-22-2−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+521+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−52-2-221+521−521+521+521−521−521+521−521+521+521−521−52−1−52−1+52−1−52−1−52−1+52−1+5200000000000
χ402222-2-222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+5222-22-2-22−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+521+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+522-2-2−1−52−1+52−1−52−1−52−1+52−1+521+521−521+521+521−521−521+521−521+521+521−521−5200000000000
χ412222-2-222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52-2-22-2-22-2−1−52−1−52−1+52−1+521+521+521+521+521−521−521−521−521+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−5222-21+521−52−1−52−1−52−1+52−1+521+521−52−1−52−1−52−1+52−1+52−1−52−1+521+521+521−521−5200000000000
χ422222-2-222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52-2-2-22-2-22−1−52−1−52−1+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+52-222−1−52−1+521+521+521−521−521+521−52−1−52−1−52−1+52−1+521+521−52−1−52−1−52−1+52−1+5200000000000
χ432222-2-2-2-22222222200222-2-2-2-2-2-200000000-2-2-2-22222-2-2-2-2000220000220000-2-2000000000000000
χ442222-2-2-2-22222222200-2-2222-2-2-2-200000000-2-2-2-2-2-2-2-22222000-2-2000022000022000000000000000
χ452222-2-2-2-2−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−5200222-2-21−521−521+521+52ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ28−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ361−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+52000−1+52−1−52−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36−1+52−1−52−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ361−521+52ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ3600000000000
χ462222-2-2-2-2−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−5200222-2-21−521−521+521+52−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ28ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ361−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+52000−1+52−1−52ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36−1+52−1−52ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ361−521+52−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ3600000000000
χ472222-2-2-2-2−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−5200-2-22221−521−521+521+52ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ28−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ361−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−520001−521+52ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36−1+52−1−52−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36−1+52−1−52−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ3600000000000
χ482222-2-2-2-2−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−5200-2-22221−521−521+521+52−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ28ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ361−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−520001−521+52−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36−1+52−1−52ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36−1+52−1−52ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ3600000000000
χ492222-2-2-2-2−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+5200222-2-21+521+521−521−52−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ36−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ281+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−52000−1−52−1+52ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28−1−52−1+52ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ281+521−52−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ2800000000000
χ502222-2-2-2-2−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+5200222-2-21+521+521−521−52ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ36ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ281+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−52000−1−52−1+52−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28−1−52−1+52−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ281+521−52ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ2800000000000
χ512222-2-2-2-2−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+5200-2-22221+521+521−521−52−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ36−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ281+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+520001+521−52−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28−1−52−1+52ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28−1−52−1+52ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ2800000000000
χ522222-2-2-2-2−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+5200-2-22221+521+521−521−52ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ36ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ281+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+520001+521−52ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28−1−52−1+52−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28−1−52−1+52−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ2800000000000
χ5322-2-2002-22222-2-2-2-22-2000002-22-22-22-22-22-20000000000000000000000000000000002-22-20000000
χ5422-2-2002-22222-2-2-2-22-2000002-22-22-22-22-22-2000000000000000000000000000000000-22-220000000
χ5522-2-2002-22222-2-2-2-2-22000002-22-2-22-22-22-220000000000000000000000000000000002-2-220000000
χ5622-2-2002-22222-2-2-2-2-22000002-22-2-22-22-22-22000000000000000000000000000000000-222-20000000
χ5744-4-4004-4−1+5−1−5−1+5−1−51−51+51−51+54-400000−1+51−5−1−51+5−1+51−5−1+51−5−1−51+5−1−51+500000000000000000000000000000000000000000000
χ5844-4-4004-4−1+5−1−5−1+5−1−51−51+51−51+5-4400000−1+51−5−1−51+51−5−1+51−5−1+51+5−1−51+5−1−500000000000000000000000000000000000000000000
χ5944-4-4004-4−1−5−1+5−1−5−1+51+51−51+51−54-400000−1−51+5−1+51−5−1−51+5−1−51+5−1+51−5−1+51−500000000000000000000000000000000000000000000
χ6044-4-4004-4−1−5−1+5−1−5−1+51+51−51+51−5-4400000−1−51+5−1+51−51+5−1−51+5−1−51−5−1+51−5−1+500000000000000000000000000000000000000000000
χ6144-4-400-444444-4-4-4-40000000-44-440000000000000000000000000000000000000000000000000000
χ6244-4-400-44−1+5−1−5−1+5−1−51−51+51−51+500000001−5−1+51+5−1−52ζ12−2ζ28−2ζ12+2ζ28−2ζ12+2ζ282ζ12−2ζ28−2ζ4+2ζ362ζ4−2ζ362ζ4−2ζ36−2ζ4+2ζ3600000000000000000000000000000000000000000000
χ6344-4-400-44−1+5−1−5−1+5−1−51−51+51−51+500000001−5−1+51+5−1−5−2ζ12+2ζ282ζ12−2ζ282ζ12−2ζ28−2ζ12+2ζ282ζ4−2ζ36−2ζ4+2ζ36−2ζ4+2ζ362ζ4−2ζ3600000000000000000000000000000000000000000000
χ6444-4-400-44−1−5−1+5−1−5−1+51+51−51+51−500000001+5−1−51−5−1+5−2ζ4+2ζ362ζ4−2ζ362ζ4−2ζ36−2ζ4+2ζ36−2ζ12+2ζ282ζ12−2ζ282ζ12−2ζ28−2ζ12+2ζ2800000000000000000000000000000000000000000000
χ6544-4-400-44−1−5−1+5−1−5−1+51+51−51+51−500000001+5−1−51−5−1+52ζ4−2ζ36−2ζ4+2ζ36−2ζ4+2ζ362ζ4−2ζ362ζ12−2ζ28−2ζ12+2ζ28−2ζ12+2ζ282ζ12−2ζ2800000000000000000000000000000000000000000000
χ664-44-4000044-4-444-4-40000000000000000000000000000000000000000000000000000000022−2200000
χ674-44-4000044-4-444-4-400000000000000000000000000000000000000000000000000000000−222200000
χ684-4-444i−4i0044-4-4-4-44400000000000000000004i−4i4i−4i0000000000000000000000000000000000000000
χ694-4-444i−4i00−1+5−1−51−51+51−51+5−1+5−1−50000000000000000000−2ζ22−2ζ382ζ22+2ζ38−2ζ6−2ζ142ζ6+2ζ14−2ζ22+2ζ382ζ22−2ζ382ζ6−2ζ14−2ζ6+2ζ142ζ12−2ζ28−2ζ12+2ζ28−2ζ4+2ζ362ζ4−2ζ3600000000000000000000000000000000
χ704-4-444i−4i00−1+5−1−51−51+51−51+5−1+5−1−50000000000000000000−2ζ22−2ζ382ζ22+2ζ38−2ζ6−2ζ142ζ6+2ζ142ζ22−2ζ38−2ζ22+2ζ38−2ζ6+2ζ142ζ6−2ζ14−2ζ12+2ζ282ζ12−2ζ282ζ4−2ζ36−2ζ4+2ζ3600000000000000000000000000000000
χ714-4-444i−4i00−1−5−1+51+51−51+51−5−1−5−1+50000000000000000000−2ζ6−2ζ142ζ6+2ζ14−2ζ22−2ζ382ζ22+2ζ382ζ6−2ζ14−2ζ6+2ζ142ζ22−2ζ38−2ζ22+2ζ382ζ4−2ζ36−2ζ4+2ζ362ζ12−2ζ28−2ζ12+2ζ2800000000000000000000000000000000
χ724-4-444i−4i00−1−5−1+51+51−51+51−5−1−5−1+50000000000000000000−2ζ6−2ζ142ζ6+2ζ14−2ζ22−2ζ382ζ22+2ζ38−2ζ6+2ζ142ζ6−2ζ14−2ζ22+2ζ382ζ22−2ζ38−2ζ4+2ζ362ζ4−2ζ36−2ζ12+2ζ282ζ12−2ζ2800000000000000000000000000000000
χ734-4-44−4i4i0044-4-4-4-4440000000000000000000−4i4i−4i4i0000000000000000000000000000000000000000
χ744-4-44−4i4i00−1+5−1−51−51+51−51+5−1+5−1−500000000000000000002ζ22+2ζ38−2ζ22−2ζ382ζ6+2ζ14−2ζ6−2ζ14−2ζ22+2ζ382ζ22−2ζ382ζ6−2ζ14−2ζ6+2ζ14−2ζ12+2ζ282ζ12−2ζ282ζ4−2ζ36−2ζ4+2ζ3600000000000000000000000000000000
χ754-4-44−4i4i00−1+5−1−51−51+51−51+5−1+5−1−500000000000000000002ζ22+2ζ38−2ζ22−2ζ382ζ6+2ζ14−2ζ6−2ζ142ζ22−2ζ38−2ζ22+2ζ38−2ζ6+2ζ142ζ6−2ζ142ζ12−2ζ28−2ζ12+2ζ28−2ζ4+2ζ362ζ4−2ζ3600000000000000000000000000000000
χ764-4-44−4i4i00−1−5−1+51+51−51+51−5−1−5−1+500000000000000000002ζ6+2ζ14−2ζ6−2ζ142ζ22+2ζ38−2ζ22−2ζ382ζ6−2ζ14−2ζ6+2ζ142ζ22−2ζ38−2ζ22+2ζ38−2ζ4+2ζ362ζ4−2ζ36−2ζ12+2ζ282ζ12−2ζ2800000000000000000000000000000000
χ774-4-44−4i4i00−1−5−1+51+51−51+51−5−1−5−1+500000000000000000002ζ6+2ζ14−2ζ6−2ζ142ζ22+2ζ38−2ζ22−2ζ38−2ζ6+2ζ142ζ6−2ζ14−2ζ22+2ζ382ζ22−2ζ382ζ4−2ζ36−2ζ4+2ζ362ζ12−2ζ28−2ζ12+2ζ2800000000000000000000000000000000
χ788-88-80000−2+25−2−252−252+25−2+25−2−252−252+25000000000000000000000000000000000000000000000000000000000000000
χ798-88-80000−2−25−2+252+252−25−2−25−2+252+252−25000000000000000000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 40 (ζ40 = 1); i = ζ10.