Finite Group Databasebeta

← Group #10615199

Character table — Group #10615199

Order 640.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70
size11112222222222444444444444444444888888888888888888888888888820202020404040404040
order1222445510101010101024444420202020202020202020202024441010101010102020202020202020202020202020202020208888444488
χ11111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111-1-1-1-111-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-111
χ411111111111111111111111111111111-1-1-1-111-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1
χ5111111111111111-1-1-1-11-1-1-1-11111-1-1-1-111-1-1111111-1-111-1-1-1-1-1-11111-1-1-1-111111-11-1-1-1
χ6111111111111111-1-1-1-11-1-1-1-11111-1-1-1-111-1-1111111-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-11-1111
χ7111111111111111-1-1-1-11-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1111111-1-1-1-1-1-111111111-11-11-1-1
χ8111111111111111-1-1-1-11-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-11-11-111
χ911111111111111-11-11-1-11111111111111-11-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111-1-11-1
χ1011111111111111-11-11-1-11111111111111-11-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-111-11
χ1111111111111111-11-11-1-1111111111111-11-11-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-111-1-1-1-1111-1
χ1211111111111111-11-11-1-1111111111111-11-11-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-11111-1-1-11
χ1311111111111111-1-11-11-1-1-1-1-11111-1-1-1-11-1-11-1-1111111-1-1111111-1-1-1-1-1-1-1-111-1-11-1-11-11
χ1411111111111111-1-11-11-1-1-1-1-11111-1-1-1-11-1-11-1-1111111-1-1111111-1-1-1-1-1-1-1-1-1-111-111-11-1
χ1511111111111111-1-11-11-1-1-1-1-11111-1-1-1-1-111-1-1-1-1-1-1-111-1-1-1-1-1-1111111111111-1-1-111-1-11
χ1611111111111111-1-11-11-1-1-1-1-11111-1-1-1-1-111-1-1-1-1-1-1-111-1-1-1-1-1-11111111111-1-1111-1-111-1
χ17222222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52222222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−522222−1+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+52−1−52−1−520000000000
χ18222222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52222222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52-2-2-2-2−1+52−1−521−521−521+521+52−1+52−1−52−1+52−1−521−521−521+521+52−1+52−1−521−521−521+521+521−521−521+521+520000000000
χ19222222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−522-2-2-2-221−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+5222-2-2−1+52−1−52−1+52−1+52−1−52−1−521−521+52−1+52−1−521−521−521+521+521−521+52−1+52−1+52−1−52−1−521−521−521+521+520000000000
χ20222222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−522-2-2-2-221−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+52-2-222−1+52−1−521−521−521+521+521−521+52−1+52−1−52−1+52−1+52−1−52−1−521−521+521−521−521+521+52−1+52−1+52−1−52−1−520000000000
χ21222222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52-22-22-2-2−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−522-22-21−521+52−1+52−1+52−1−52−1−521−521+521−521+521−521−521+521+521−521+521−521−521+521+52−1+52−1+52−1−52−1−520000000000
χ22222222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52-22-22-2-2−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52-22-221−521+521−521−521+521+521−521+521−521+52−1+52−1+52−1−52−1−521−521+52−1+52−1+52−1−52−1−521−521−521+521+520000000000
χ23222222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52-2-22-22-21−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+522-2-221−521+52−1+52−1+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+521−521−521+521+520000000000
χ24222222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52-2-22-22-21−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+52-222-21−521+521−521−521+521+52−1+52−1−521−521+521−521−521+521+52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−520000000000
χ25222222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52222222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+522222−1−52−1+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+520000000000
χ26222222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52222222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52-2-2-2-2−1−52−1+521+521+521−521−52−1−52−1+52−1−52−1+521+521+521−521−52−1−52−1+521+521+521−521−521+521+521−521−520000000000
χ27222222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+522-2-2-2-221+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−5222-2-2−1−52−1+52−1−52−1−52−1+52−1+521+521−52−1−52−1+521+521+521−521−521+521−52−1−52−1−52−1+52−1+521+521+521−521−520000000000
χ28222222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+522-2-2-2-221+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−52-2-222−1−52−1+521+521+521−521−521+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+520000000000
χ29222222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52-22-22-2-2−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+522-22-21+521−52−1−52−1−52−1+52−1+521+521−521+521−521+521+521−521−521+521−521+521+521−521−52−1−52−1−52−1+52−1+520000000000
χ30222222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52-22-22-2-2−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52-22-221+521−521+521+521−521−521+521−521+521−52−1−52−1−52−1+52−1+521+521−52−1−52−1−52−1+52−1+521+521+521−521−520000000000
χ31222222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52-2-22-22-21+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−522-2-221+521−52−1−52−1−52−1+52−1+52−1−52−1+521+521−52−1−52−1−52−1+52−1+52−1−52−1+521+521+521−521−521+521+521−521−520000000000
χ32222222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52-2-22-22-21+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−52-222-21+521−521+521+521−521−52−1−52−1+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+520000000000
χ332222-2-22222222222-2-22-22222-2-2-2-2-2-2-2-20000220000-2-2-2-2000022000000000000000000
χ342222-2-2222222222-222-2-2-2-2-2-2-2-2-2-22222000022000022-2-20000-2-2000000000000000000
χ352222-2-222222222-222-2-222222-2-2-2-2-2-2-2-20000-2-2000022220000-2-2000000000000000000
χ362222-2-222222222-2-2-2222-2-2-2-2-2-2-2-222220000-2-20000-2-222000022000000000000000000
χ372222-2-2−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−5222-2-22-2−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+520000−1+52−1−52ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ361−521+521−521+52ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36−1+52−1−52ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ360000000000
χ382222-2-2−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−5222-2-22-2−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+520000−1+52−1−52−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ361−521+521−521+52−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36−1+52−1−52−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ360000000000
χ392222-2-2−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−522-222-2-21−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−520000−1+52−1−52ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36−1+52−1−521−521+52−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ361−521+52ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ360000000000
χ402222-2-2−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−522-222-2-21−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−520000−1+52−1−52−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36−1+52−1−521−521+52ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ361−521+52−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ360000000000
χ412222-2-2−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52-222-2-22−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+5200001−521+52ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36−1+52−1−52−1+52−1−52−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ361−521+52−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ360000000000
χ422222-2-2−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52-222-2-22−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+5200001−521+52−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36−1+52−1−52−1+52−1−52ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ361−521+52ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ360000000000
χ432222-2-2−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52-2-2-22221−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−5200001−521+52ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ361−521+52−1+52−1−52ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36−1+52−1−52−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ360000000000
χ442222-2-2−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52-2-2-22221−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−5200001−521+52−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ361−521+52−1+52−1−52−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36−1+52−1−52ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ360000000000
χ452222-2-2−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+5222-2-22-2−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−520000−1−52−1+52−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ281+521−521+521−52−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28−1−52−1+52−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ280000000000
χ462222-2-2−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+5222-2-22-2−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−520000−1−52−1+52ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ281+521−521+521−52ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28−1−52−1+52ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ280000000000
χ472222-2-2−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+522-222-2-21+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+520000−1−52−1+52−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28−1−52−1+521+521−52ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ281+521−52−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ280000000000
χ482222-2-2−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+522-222-2-21+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+520000−1−52−1+52ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28−1−52−1+521+521−52−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ281+521−52ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ280000000000
χ492222-2-2−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52-222-2-22−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−5200001+521−52−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28−1−52−1+52−1−52−1+52ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ281+521−52ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ280000000000
χ502222-2-2−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52-222-2-22−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−5200001+521−52ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28−1−52−1+52−1−52−1+52−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ281+521−52−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ280000000000
χ512222-2-2−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52-2-2-22221+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+5200001+521−52−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ281+521−52−1−52−1+52−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28−1−52−1+52ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ280000000000
χ522222-2-2−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52-2-2-22221+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+5200001+521−52ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ281+521−52−1−52−1+52ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28−1−52−1+52−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ280000000000
χ5344-4-4004444-4-4-4-4000000000000000000000000000000000000000000000022−2200000000
χ5444-4-4004444-4-4-4-40000000000000000000000000000000000000000000000−222200000000
χ554-44-40044-4-4-4-4440000000000000000000000000000000000000000000000002i2−2i2000000
χ564-44-40044-4-4-4-444000000000000000000000000000000000000000000000000−2i22i2000000
χ574-4-444-444-4-444-4-400000000004-44-4000000000000000000000000000000000000000000
χ584-4-444-4−1+5−1−51−51+5−1+5−1−51−51+5000000−2ζ22+2ζ382ζ22−2ζ382ζ6−2ζ14−2ζ6+2ζ14−1+51−5−1−51+5−2ζ22+2ζ382ζ22−2ζ382ζ6−2ζ14−2ζ6+2ζ1400000000000000000000000000000000000000
χ594-4-444-4−1+5−1−51−51+5−1+5−1−51−51+50000002ζ22−2ζ38−2ζ22+2ζ38−2ζ6+2ζ142ζ6−2ζ14−1+51−5−1−51+52ζ22−2ζ38−2ζ22+2ζ38−2ζ6+2ζ142ζ6−2ζ1400000000000000000000000000000000000000
χ604-4-444-4−1−5−1+51+51−5−1−5−1+51+51−50000002ζ6−2ζ14−2ζ6+2ζ142ζ22−2ζ38−2ζ22+2ζ38−1−51+5−1+51−52ζ6−2ζ14−2ζ6+2ζ142ζ22−2ζ38−2ζ22+2ζ3800000000000000000000000000000000000000
χ614-4-444-4−1−5−1+51+51−5−1−5−1+51+51−5000000−2ζ6+2ζ142ζ6−2ζ14−2ζ22+2ζ382ζ22−2ζ38−1−51+5−1+51−5−2ζ6+2ζ142ζ6−2ζ14−2ζ22+2ζ382ζ22−2ζ3800000000000000000000000000000000000000
χ624-4-44-4444-4-444-4-40000000000-44-44000000000000000000000000000000000000000000
χ634-4-44-44−1+5−1−51−51+5−1+5−1−51−51+5000000−2ζ22+2ζ382ζ22−2ζ382ζ6−2ζ14−2ζ6+2ζ141−5−1+51+5−1−52ζ22−2ζ38−2ζ22+2ζ38−2ζ6+2ζ142ζ6−2ζ1400000000000000000000000000000000000000
χ644-4-44-44−1+5−1−51−51+5−1+5−1−51−51+50000002ζ22−2ζ38−2ζ22+2ζ38−2ζ6+2ζ142ζ6−2ζ141−5−1+51+5−1−5−2ζ22+2ζ382ζ22−2ζ382ζ6−2ζ14−2ζ6+2ζ1400000000000000000000000000000000000000
χ654-4-44-44−1−5−1+51+51−5−1−5−1+51+51−50000002ζ6−2ζ14−2ζ6+2ζ142ζ22−2ζ38−2ζ22+2ζ381+5−1−51−5−1+5−2ζ6+2ζ142ζ6−2ζ14−2ζ22+2ζ382ζ22−2ζ3800000000000000000000000000000000000000
χ664-4-44-44−1−5−1+51+51−5−1−5−1+51+51−5000000−2ζ6+2ζ142ζ6−2ζ14−2ζ22+2ζ382ζ22−2ζ381+5−1−51−5−1+52ζ6−2ζ14−2ζ6+2ζ142ζ22−2ζ38−2ζ22+2ζ3800000000000000000000000000000000000000
χ6788-8-800−2+25−2−25−2+25−2−252−252+252−252+2500000000000000000000000000000000000000000000000000000000
χ6888-8-800−2−25−2+25−2−25−2+252+252−252+252−2500000000000000000000000000000000000000000000000000000000
χ698-88-800−2+25−2−252−252+252−252+25−2+25−2−2500000000000000000000000000000000000000000000000000000000
χ708-88-800−2−25−2+252+252−252+252−25−2−25−2+2500000000000000000000000000000000000000000000000000000000

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