Finite Group Databasebeta

← Group #12128402

Character table — Group #12128402

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116
size111111112222222222222222222244444444444488888888888888888888888888888888888810101010101010101616161616161616161616161616161620202020404040404040404040404040
order1222222244445510101010101010101010101010108888202020202020202044444444448820202020202020204040404040404040404040404040404022224444202020202020202020202020202020208888444444444488
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-11111-1-1-1-11111-111-1-111-1-1-1-1-1
χ411111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11-1-111-1-111111
χ51111111111111111111111111111111111111111-1-1-1-11-1-11-1-11111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-1-11-1-111
χ61111111111111111111111111111111111111111-1-1-1-11-1-11-1-111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-111-1-1
χ71111111111111111111111111111111111111111-1-1-1-1-111-111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-111111111-1-1-111-1-1-111-1-1
χ81111111111111111111111111111111111111111-1-1-1-1-111-111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1111-1-1111-1-111
χ91111111111111111111111111111-1-1-1-11111111111-1-11-1-1111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-1-1-1-1111-1-1-1-1111-1-1
χ101111111111111111111111111111-1-1-1-11111111111-1-11-1-1111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-11111-1-1-111
χ111111111111111111111111111111-1-1-1-11111111111-1-1-111-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-111
χ121111111111111111111111111111-1-1-1-11111111111-1-1-111-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111-1-1-1-111111-1-1
χ131111111111111111111111111111-1-1-1-111111111-1-1111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-11-1-111111-1-1-1-1
χ141111111111111111111111111111-1-1-1-111111111-1-1111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-111-1-1-1-1-11111
χ151111111111111111111111111111-1-1-1-111111111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-111-11111
χ161111111111111111111111111111-1-1-1-111111111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111-1-11-1-1-1-1
χ17222222222222−1+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+52−1−52−1−522222−1+52−1+52−1+52−1−52−1−52−1−52−1+52−1−52222222222222−1+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+52−1−52−1−52−1−52−1−5200000000−1+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+52−1−52−1−520000000000000000
χ18222222222222−1+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+52−1−52−1−522222−1+52−1+52−1+52−1−52−1−52−1−52−1+52−1−522222-2-2-2-2-2-2-2-21−521−521−521−521+521+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+5200000000−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+520000000000000000
χ19222222222222−1+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+52−1−52−1−522222−1+52−1+52−1+52−1−52−1−52−1−52−1+52−1−52-2-2-2-22-2-22-2-222−1+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+52−1−52−1−52−1−52−1−52000000001−521−521+521+521−521−521+521+521−521−521+521+521−521−521+521+520000000000000000
χ20222222222222−1+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+52−1−52−1−522222−1+52−1+52−1+52−1−52−1−52−1−52−1+52−1−52-2-2-2-2-222-222-2-21−521−521−521−521+521+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+52000000001−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1+52−1−52−1−520000000000000000
χ21222222222222−1+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+52−1−52−1−52-2-2-2-2−1+52−1+52−1+52−1−52−1−52−1−52−1+52−1−5222-2-22-2-2222-2-2−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−521−521−521−521−521+521+521+521+521−521−521−521−521+521+521+521+5200000000−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−520000000000000000
χ22222222222222−1+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+52−1−52−1−52-2-2-2-2−1+52−1+52−1+52−1−52−1−52−1−52−1+52−1−5222-2-2-222-2-2-2221−521−521−521−521+521+521+521+521−521−521−521−521+521+521+521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−5200000000−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+520000000000000000
χ23222222222222−1+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+52−1−52−1−52-2-2-2-2−1+52−1+52−1+52−1−52−1−52−1−52−1+52−1−52-2-2222222-2-2-2-2−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−521−521−521−521−521+521+521+521+521−521−521−521−521+521+521+521+52000000001−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521+521+520000000000000000
χ24222222222222−1+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+52−1−52−1−52-2-2-2-2−1+52−1+52−1+52−1−52−1−52−1−52−1+52−1−52-2-222-2-2-2-222221−521−521−521−521+521+521+521+521−521−521−521−521+521+521+521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52000000001−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−520000000000000000
χ25222222222222−1−52−1+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+522222−1−52−1−52−1−52−1+52−1+52−1+52−1−52−1+52222222222222−1−52−1−52−1−52−1−52−1+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+5200000000−1−52−1−52−1+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+520000000000000000
χ26222222222222−1−52−1+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+522222−1−52−1−52−1−52−1+52−1+52−1+52−1−52−1+522222-2-2-2-2-2-2-2-21+521+521+521+521−521−521−521−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+521+521+521+521+521−521−521−521−5200000000−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−520000000000000000
χ27222222222222−1−52−1+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+522222−1−52−1−52−1−52−1+52−1+52−1+52−1−52−1+52-2-2-2-22-2-22-2-222−1−52−1−52−1−52−1−52−1+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+52000000001+521+521−521−521+521+521−521−521+521+521−521−521+521+521−521−520000000000000000
χ28222222222222−1−52−1+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+522222−1−52−1−52−1−52−1+52−1+52−1+52−1−52−1+52-2-2-2-2-222-222-2-21+521+521+521+521−521−521−521−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+521+521+521+521+521−521−521−521−52000000001+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1−52−1+52−1+520000000000000000
χ29222222222222−1−52−1+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+52-2-2-2-2−1−52−1−52−1−52−1+52−1+52−1+52−1−52−1+5222-2-22-2-2222-2-2−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+521+521+521+521+521−521−521−521−521+521+521+521+521−521−521−521−5200000000−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+520000000000000000
χ30222222222222−1−52−1+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+52-2-2-2-2−1−52−1−52−1−52−1+52−1+52−1+52−1−52−1+5222-2-2-222-2-2-2221+521+521+521+521−521−521−521−521+521+521+521+521−521−521−521−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+5200000000−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−520000000000000000
χ31222222222222−1−52−1+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+52-2-2-2-2−1−52−1−52−1−52−1+52−1+52−1+52−1−52−1+52-2-2222222-2-2-2-2−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+521+521+521+521+521−521−521−521−521+521+521+521+521−521−521−521−52000000001+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521−521−520000000000000000
χ32222222222222−1−52−1+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+52-2-2-2-2−1−52−1−52−1−52−1+52−1+52−1+52−1−52−1+52-2-222-2-2-2-222221+521+521+521+521−521−521−521−521+521+521+521+521−521−521−521−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52000000001+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+520000000000000000
χ3322222222-2-2-2-222222222222222220000-2-2-2-2-2-2-2-20000200-2000022-2-222-2-200000000000000002222-2-2-2-200000000000000000000-200000020000
χ3422222222-2-2-2-222222222222222220000-2-2-2-2-2-2-2-20000200-2000022-2-222-2-20000000000000000-2-2-2-22222000000000000000000002000000-20000
χ3522222222-2-2-2-222222222222222220000-2-2-2-2-2-2-2-20000-20020000-2-222-2-22200000000000000002222-2-2-2-2000000000000000000002000000-20000
χ3622222222-2-2-2-222222222222222220000-2-2-2-2-2-2-2-20000-20020000-2-222-2-2220000000000000000-2-2-2-2222200000000000000000000-200000020000
χ3722-22-2-22-222-2-2222-22-2222-22-2-2-2-2-2000022-222-2-2-2000002-20000000000000000000000000000022-2-222-2-200002-22-20000000000000002-20000000
χ3822-22-2-22-222-2-2222-22-2222-22-2-2-2-2-2000022-222-2-2-2000002-200000000000000000000000000000-2-222-2-22200002-22-2000000000000000-220000000
χ3922-22-2-22-222-2-2222-22-2222-22-2-2-2-2-2000022-222-2-2-200000-220000000000000000000000000000022-2-222-2-20000-22-22000000000000000-220000000
χ4022-22-2-22-222-2-2222-22-2222-22-2-2-2-2-2000022-222-2-2-200000-2200000000000000000000000000000-2-222-2-2220000-22-220000000000000002-20000000
χ4122-22-2-22-2-2-222222-22-2222-22-2-2-2-2-20000-2-22-2-2222002i−2i0000000000000000000000000000000022-2-2-2-222000000002i−2i2i−2i00000000000002i−2i00000
χ4222-22-2-22-2-2-222222-22-2222-22-2-2-2-2-20000-2-22-2-2222002i−2i00000000000000000000000000000000-2-22222-2-2000000002i−2i2i−2i0000000000000−2i2i00000
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χ472-222-22-2-22-22-222-22-2222-22-22-2-2-2-200002-222-22-2-2-2200000000000000000000000000000000002-22-22-22-2-22-2200000000000000000-22000000000
χ482-222-22-2-22-22-222-22-2222-22-22-2-2-2-200002-222-22-2-2-220000000000000000000000000000000000-22-22-22-22-22-22000000000000000002-2000000000
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χ522-222-22-2-2-22-2222-22-2222-22-22-2-2-2-20000-22-2-22-22200000000−2i2i00000000000000000000000000-22-222-22-2000000000000−2i2i−2i2i0000000000002i−2i00
χ532-2-222-2-222-2-2222-2-2-2-222-2-2-2-2222200002-2-22-2-22200000000002-2000000000000000022-2-222-2-22-2-222-2-220000000000000000000000000000002-2
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χ552-2-222-2-222-2-2222-2-2-2-222-2-2-2-2222200002-2-22-2-2220000000000-220000000000000000-2-222-2-2222-2-222-2-22000000000000000000000000000000-22
χ562-2-222-2-222-2-2222-2-2-2-222-2-2-2-2222200002-2-22-2-2220000000000-220000000000000000-2-222-2-222-222-2-222-20000000000000000000000000000002-2
χ572-2-222-2-22-222-222-2-2-2-222-2-2-2-222222i2i−2i−2i-222-222-2-2000000000000000000002i2i−2i−2i2i2i−2i−2i000000002-2-22-222-200000000000000002i2i−2i−2i000000000000
χ582-2-222-2-22-222-222-2-2-2-222-2-2-2-222222i2i−2i−2i-222-222-2-2000000000000000000002i2i−2i−2i2i2i−2i−2i00000000-222-22-2-220000000000000000−2i−2i2i2i000000000000
χ592-2-222-2-22-222-222-2-2-2-222-2-2-2-22222−2i−2i2i2i-222-222-2-200000000000000000000−2i−2i2i2i−2i−2i2i2i000000002-2-22-222-20000000000000000−2i−2i2i2i000000000000
χ602-2-222-2-22-222-222-2-2-2-222-2-2-2-22222−2i−2i2i2i-222-222-2-200000000000000000000−2i−2i2i2i−2i−2i2i2i00000000-222-22-2-2200000000000000002i2i−2i−2i000000000000
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χ1114-4-4-4444-40000−1−5−1+51+5−1−51−5−1+51+51−5−1−51+5−1+51−5−1−51+5−1+51−5−2i22i22i2−2i200000000000000000000−2ζ4+2ζ362ζ4−2ζ3600−2ζ12+2ζ282ζ12−2ζ2800−ζ21−ζ29−ζ31−ζ39ζ21+ζ29+ζ31+ζ39ζ21+ζ29+ζ31+ζ39−ζ21−ζ29−ζ31−ζ39−ζ7−ζ13−ζ23−ζ37ζ7+ζ13+ζ23+ζ37ζ7+ζ13+ζ23+ζ37−ζ7−ζ13−ζ23−ζ37−ζ21+ζ29−ζ31+ζ39ζ21−ζ29+ζ31−ζ39ζ21−ζ29+ζ31−ζ39−ζ21+ζ29−ζ31+ζ39−ζ7+ζ13+ζ23−ζ37ζ7−ζ13−ζ23+ζ37ζ7−ζ13−ζ23+ζ37−ζ7+ζ13+ζ23−ζ370000000000000000000000000000000000000000
χ1124-4-4-4444-40000−1−5−1+51+5−1−51−5−1+51+51−5−1−51+5−1+51−5−1−51+5−1+51−5−2i22i22i2−2i2000000000000000000002ζ4−2ζ36−2ζ4+2ζ36002ζ12−2ζ28−2ζ12+2ζ2800−ζ21−ζ29−ζ31−ζ39ζ21+ζ29+ζ31+ζ39ζ21+ζ29+ζ31+ζ39−ζ21−ζ29−ζ31−ζ39−ζ7−ζ13−ζ23−ζ37ζ7+ζ13+ζ23+ζ37ζ7+ζ13+ζ23+ζ37−ζ7−ζ13−ζ23−ζ37ζ21−ζ29+ζ31−ζ39−ζ21+ζ29−ζ31+ζ39−ζ21+ζ29−ζ31+ζ39ζ21−ζ29+ζ31−ζ39ζ7−ζ13−ζ23+ζ37−ζ7+ζ13+ζ23−ζ37−ζ7+ζ13+ζ23−ζ37ζ7−ζ13−ζ23+ζ370000000000000000000000000000000000000000
χ11388-8-8-88-880000−2+25−2−25−2+25−2+25−2−25−2−252−252+252−252−252+252+252−25−2+252+25−2−250000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ11488-8-8-88-880000−2−25−2+25−2−25−2−25−2+25−2+252+252−252+252+252−252−252+25−2−252−25−2+250000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1158-88-8-8-8880000−2+25−2−252−252−252+252+252−252+25−2+25−2+25−2−25−2−252−25−2+252+25−2−250000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1168-88-8-8-8880000−2−25−2+252+252+252−252−252+252−25−2−25−2−25−2+25−2+252+25−2−252−25−2+250000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

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