Finite Group Databasebeta

← Group #13016931

Character table — Group #13016931

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116
size111111112222222222224444444455555555888888888888888810101010101010101010101010101010101010101010101010101010101010101010101010101010101010101616161616161616404040404040404040404040
order12224444224444444444510101020202020444444444488101020202020202020202020444444444444888888888888888888888888888888882020202040404040248888888888
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111-1-1-1-111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ4111111111111111111111111111111111111-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ51111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−i11111111-1-1-1-1ii−i−iii−i−i
χ61111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiiiiiii11111111-1-1-1-1−i−iii−i−iii
χ71111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−i-1-1-1-1-1-1-1-11111−i−iii−i−iii
χ81111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiiiiiii-1-1-1-1-1-1-1-11111ii−i−iii−i−i
χ9111111111111-1-1-1-1-1-1-1-1111111111111111111-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-11111
χ10111111111111-1-1-1-1-1-1-1-1111111111111111111-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-111-1-11111-1-1-1-1
χ11111111111111-1-1-1-1-1-1-1-11111111111111111-1-1111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1111111-1-1-1-1
χ12111111111111-1-1-1-1-1-1-1-11111111111111111-1-1111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-11111-1-111-1-1-1-11111
χ13111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-111111111-1-1iiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiii1111-1-1-1-1-1-111−i−iiiii−i−i
χ14111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-111111111-1-1−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i1111-1-1-1-1-1-111ii−i−i−i−iii
χ15111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-111111111-1-1iiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiii-1-1-1-1111111-1-1ii−i−i−i−iii
χ16111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-111111111-1-1−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i-1-1-1-1111111-1-1−i−iiiii−i−i
χ171111-1-1-1-1-1-111iiii−i−i−i−i1111-1-1-1-11111-1-1-1-11-1i−i-1-111iiii−i−i−i−i-1-1iiii−i−i−i−i11iiii−i−i−i−iiiii−i−i−i−i1111-1-1-1-11111-1-1-1-111-1-1ii−i−i1-1i−i1-11-1i−ii−i
χ181111-1-1-1-1-1-111iiii−i−i−i−i1111-1-1-1-11111-1-1-1-11-1i−i-1-111iiii−i−i−i−i-1-1iiii−i−i−i−i11−i−i−i−iiiii−i−i−i−iiiii-1-1-1-11111-1-1-1-1111111-1-1ii−i−i1-1i−i-11-11−ii−ii
χ191111-1-1-1-1-1-111iiii−i−i−i−i1111-1-1-1-11111-1-1-1-1-11−ii-1-111iiii−i−i−i−i-1-1iiii−i−i−i−i11iiii−i−i−i−iiiii−i−i−i−i1111-1-1-1-11111-1-1-1-1-1-111−i−iii-11−ii-11-11−ii−ii
χ201111-1-1-1-1-1-111iiii−i−i−i−i1111-1-1-1-11111-1-1-1-1-11−ii-1-111iiii−i−i−i−i-1-1iiii−i−i−i−i11−i−i−i−iiiii−i−i−i−iiiii-1-1-1-11111-1-1-1-11111-1-111−i−iii-11−ii1-11-1i−ii−i
χ211111-1-1-1-1-1-111iiii−i−i−i−i1111-1-1-1-1-1-1-1-111111-1i−i-1-111iiii−i−i−i−i11−i−i−i−iiiii-1-11111-1-1-1-1-1-1-1-11111−i−i−i−iiiiiiiii−i−i−i−i11-1-1ii−i−i-11−ii−iii−i1-1-11
χ221111-1-1-1-1-1-111iiii−i−i−i−i1111-1-1-1-1-1-1-1-111111-1i−i-1-111iiii−i−i−i−i11−i−i−i−iiiii-1-1-1-1-1-111111111-1-1-1-1iiii−i−i−i−i−i−i−i−iiiii11-1-1ii−i−i-11−iii−i−ii-111-1
χ231111-1-1-1-1-1-111iiii−i−i−i−i1111-1-1-1-1-1-1-1-11111-11−ii-1-111iiii−i−i−i−i11−i−i−i−iiiii-1-11111-1-1-1-1-1-1-1-11111−i−i−i−iiiiiiiii−i−i−i−i-1-111−i−iii1-1i−ii−i−ii-111-1
χ241111-1-1-1-1-1-111iiii−i−i−i−i1111-1-1-1-1-1-1-1-11111-11−ii-1-111iiii−i−i−i−i11−i−i−i−iiiii-1-1-1-1-1-111111111-1-1-1-1iiii−i−i−i−i−i−i−i−iiiii-1-111−i−iii1-1i−i−iii−i1-1-11
χ251111-1-1-1-1-1-111−i−i−i−iiiii1111-1-1-1-11111-1-1-1-11-1−ii-1-111−i−i−i−iiiii-1-1−i−i−i−iiiii11iiii−i−i−i−iiiii−i−i−i−i-1-1-1-11111-1-1-1-1111111-1-1−i−iii1-1−ii-11-11i−ii−i
χ261111-1-1-1-1-1-111−i−i−i−iiiii1111-1-1-1-11111-1-1-1-11-1−ii-1-111−i−i−i−iiiii-1-1−i−i−i−iiiii11−i−i−i−iiiii−i−i−i−iiiii1111-1-1-1-11111-1-1-1-111-1-1−i−iii1-1−ii1-11-1−ii−ii
χ271111-1-1-1-1-1-111−i−i−i−iiiii1111-1-1-1-11111-1-1-1-1-11i−i-1-111−i−i−i−iiiii-1-1−i−i−i−iiiii11iiii−i−i−i−iiiii−i−i−i−i-1-1-1-11111-1-1-1-11111-1-111ii−i−i-11i−i1-11-1−ii−ii
χ281111-1-1-1-1-1-111−i−i−i−iiiii1111-1-1-1-11111-1-1-1-1-11i−i-1-111−i−i−i−iiiii-1-1−i−i−i−iiiii11−i−i−i−iiiii−i−i−i−iiiii1111-1-1-1-11111-1-1-1-1-1-111ii−i−i-11i−i-11-11i−ii−i
χ291111-1-1-1-1-1-111−i−i−i−iiiii1111-1-1-1-1-1-1-1-111111-1−ii-1-111−i−i−i−iiiii11iiii−i−i−i−i-1-11111-1-1-1-1-1-1-1-11111iiii−i−i−i−i−i−i−i−iiiii11-1-1−i−iii-11i−ii−i−ii1-1-11
χ301111-1-1-1-1-1-111−i−i−i−iiiii1111-1-1-1-1-1-1-1-111111-1−ii-1-111−i−i−i−iiiii11iiii−i−i−i−i-1-1-1-1-1-111111111-1-1-1-1−i−i−i−iiiiiiiii−i−i−i−i11-1-1−i−iii-11i−i−iii−i-111-1
χ311111-1-1-1-1-1-111−i−i−i−iiiii1111-1-1-1-1-1-1-1-11111-11i−i-1-111−i−i−i−iiiii11iiii−i−i−i−i-1-11111-1-1-1-1-1-1-1-11111iiii−i−i−i−i−i−i−i−iiiii-1-111ii−i−i1-1−ii−iii−i-111-1
χ321111-1-1-1-1-1-111−i−i−i−iiiii1111-1-1-1-1-1-1-1-11111-11i−i-1-111−i−i−i−iiiii11iiii−i−i−i−i-1-1-1-1-1-111111111-1-1-1-1−i−i−i−iiiiiiiii−i−i−i−i-1-111ii−i−i1-1−iii−i−ii1-1-11
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χ382222-2-2-2-222-2-2000000002222-2-2-2-22222-2-2-2-2000022-2-2000000002200000000-2-2−2i−2i2i2i2i2i−2i−2i−2i−2i2i2i2i2i−2i−2i000000000000000000000000000000000000
χ392222-2-2-2-222-2-2000000002222-2-2-2-2-2-2-2-22222000022-2-200000000-2-2000000002222-2-2-2-222-2-22222-2-2000000000000000000000000000000000000
χ402222-2-2-2-222-2-2000000002222-2-2-2-2-2-2-2-22222000022-2-200000000-2-20000000022-2-22222-2-222-2-2-2-222000000000000000000000000000000000000
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χ4822-2-222-2-2-22-22−2i−2i2i2i−2i−2i2i2i22-2-2-2-222−2i−2i2i2i−2i−2i2i2i00002-2-22−2i−2i2i2i−2i−2i2i2i2i−2i22-2-222-2-22i−2i0000000000000000000000000000000000000000000000000000
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χ5022-2-2-2-2222-2-2222-2-2-2-22222-2-222-2-2−2i−2i2i2i2i2i−2i−2i0000-22-2222-2-2-2-222−2i2i2i2i−2i−2i−2i−2i2i2i2i−2i0000000000000000000000000000000000000000000000000000
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χ5222-2-2-2-2222-2-22-2-22222-2-222-2-222-2-2−2i−2i2i2i2i2i−2i−2i0000-22-22-2-22222-2-2−2i2i−2i−2i2i2i2i2i−2i−2i2i−2i0000000000000000000000000000000000000000000000000000
χ5322-2-2-2-222-222-20000000022-2-222-2-22i2i−2i−2i−2i−2i2i2i00002-22-200000000−2i2i000000002i−2i0000000000000000−2ζ13−2ζ21−2ζ29−2ζ37−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ372ζ13+2ζ21+2ζ29+2ζ372ζ13+2ζ21+2ζ29+2ζ372ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ37−2ζ13−2ζ21−2ζ29−2ζ37−2ζ7−2ζ23−2ζ31−2ζ39−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ392ζ7+2ζ23+2ζ31+2ζ392ζ7+2ζ23+2ζ31+2ζ392ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ39−2ζ7−2ζ23−2ζ31−2ζ3900000000000000000000
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Here ζ is a primitive root of unity of order 40 (ζ40 = 1); i = ζ10.