Finite Group Databasebeta

← Group #72230447

Character table — Group #72230447

Order 2880.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120
size112222222222244444444444444445588888888888888888888888888888888881010101010101010101010202020202020202020202020363660606060606060606060606060606060606060606060606072727272180180
order12233446612121212356666610101012121212121222151515152020303030303030303030303030606060606060606060606060606060602446666121212126666661212121212122244448888121212121212121224242424242424241010101022
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ31111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ41111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1
χ511111111111111111111111111111-1-11111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111ii−i−iii−i−iiiii−i−i−i−iiiii−i−i−i−i1111-1-1
χ611111111111111111111111111111-1-11111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111−i−iii−i−iii−i−i−i−iiiii−i−i−i−iiiii1111-1-1
χ711111111111111111111111111111-1-11111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1ii−i−i−i−iiiiiii−i−i−i−i−i−i−i−iiiii-1-1-1-111
χ811111111111111111111111111111-1-11111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−i−iiiii−i−i−i−i−i−iiiiiiiii−i−i−i−i-1-1-1-111
χ911-1111-11111-1-111-1-1-1-11-1-111-111-1-11111111-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-111111-1-111-1-111-1-11-111-1-11-11-11-11-11-111-1-111-1-111-1-111-1-111-1-11-1
χ1011-1111-11111-1-111-1-1-1-11-1-111-111-1-11111111-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-111111-1-111-1-111-1-11-111-1-11-1-11-11-11-11-1-111-1-111-1-111-1-11111-1-11-1
χ1111-1111-11111-1-111-1-1-1-11-1-111-111-1-11111111-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-111111-1-111-1-111-1-11-111-1-1-111-11-1-11-1111-1-111-1-1-1-111-1-111-1-111-11
χ1211-1111-11111-1-111-1-1-1-11-1-111-111-1-11111111-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-111111-1-111-1-111-1-11-111-1-1-11-11-111-11-1-1-111-1-11111-1-111-1-1-1-111-11
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χ1722222-2-222-2-2-2-22222222222-2-2-2-2-2-2222222-2-2222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-22-2-22222-2-2-2-2222222-2-2-2-2-2-200000000000000000000000000000000
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χ33222-12-2-2-1211-2-2-12-12-1-1-1222-211111-2-2-12-1-1-2-2-1-122-1-1-1-1-12-1-111-2-2111111-2-21111-22211-2-222-1-11-211112-1-1-1-1-1000000000000000000−i3i3−i3i3i3−i3i3−i3000000
χ34222-12-2-2-1211-2-2-12-12-1-1-1222-211111-2-2-12-1-1-2-2-1-122-1-1-1-1-12-1-111-2-2111111-2-21111-22211-2-222-1-11-211112-1-1-1-1-1000000000000000000i3−i3i3−i3−i3i3−i3i3000000
χ3522-222-2222-2-22222-2-2-2-22-2-22-22-2-222222222-22-2-2-2-2-2-2-2-22222-2-2-2-2-2-2-2-222222222-22-2222222-2-2-2-222-2-2-22-2-22200000000000000000000000000000000
χ3622-222-2222-2-22222-2-2-2-22-2-22-22-2-222-2-22222-22-2-2-2-2-2-2-2-22222-2-2-2-2-2-2-2-2222222222-22-2-2-2-2-2-22222-2-2222-222-2-200000000000000000000000000000000
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χ4522-2-122-2-12-1-1-2-2-121-211-1-2-2221-1-11122-12-1-12-211-2-21111-12-1-1-1-122-1-1-1-111-2-21111-2-22-1-122-2-2-1-11-2-1-11121-1-1110000002-22-200000000-1-111-1-111000000
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χ5222-2-12-22-121122-121-211-1-2-22-2-111-1-1-2-2-12-1-1-2211-2-21111-12-1-111-2-21111-1-122-1-1-1-12-2211-2-2-2-2-1-1-1211-1-121-1-111000000000000000000i3−i3−i3i3−i3i3i3−i3000000
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χ6144-4444-44444-4-44-1-4-4-4-4411-14-444-4-400-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-111111111000000000000000000000004-4000000000000000000000000-1-11100
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χ6744-4-2-2-44-2-222-2-21422-1-11-4-442-2-1-11144-2-211-442222-1-1-1-1-2-2112222-1-1-1-1-2-2-2-21111-44-4-2-2-2-2-2-2222211-1-12-2-1-11100000000000000000000000000000000
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χ1198-80-4-40044−4343−43432-2006-6-2−252520023−2323−230011−1−352−1+352005−55−5−3−52−3+523+523−52-1-11+3521−3523−315−15ζ7−ζ23+ζ43−ζ47−ζ11+ζ19+ζ31−ζ59−ζ7+ζ23−ζ43+ζ47ζ11−ζ19−ζ31+ζ5915−153−3ζ7−ζ23+ζ43−ζ47−ζ11+ζ19+ζ31−ζ59−ζ7+ζ23−ζ43+ζ47ζ11−ζ19−ζ31+ζ590000000000000000000000000000000000000000000000000000000
χ1208-80-4-40044−4343−43432-2006-6-225−2520023−2323−230011−1+352−1−35200−55−55−3+52−3−523−523+52-1-11−3521+3523−3−1515−ζ11+ζ19+ζ31−ζ59ζ7−ζ23+ζ43−ζ47ζ11−ζ19−ζ31+ζ59−ζ7+ζ23−ζ43+ζ47−15153−3−ζ11+ζ19+ζ31−ζ59ζ7−ζ23+ζ43−ζ47ζ11−ζ19−ζ31+ζ59−ζ7+ζ23−ζ43+ζ470000000000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 60 (ζ60 = 1); i = ζ15.