Finite Group Databasebeta

← Group #72340586

Character table — Group #72340586

Order 1024.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112
size11112222224444444444444444444444444444888816161616161632323232323232321111222222444444444444444444444444444488881616161616163232323232323232
order1222224444224444444444444444444444444422444488884444888822222244442244444444444444444444444444224444888844448888
χ11111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1ii−i−iii−i−i11111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1ii−i−iii−i−i
χ411111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1−i−iii−i−iii11111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1−i−iii−i−iii
χ51111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-1
χ61111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111
χ71111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111ii−i−i−i−iii1111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111ii−i−i−i−iii
χ81111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111−i−iiiii−i−i1111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111−i−iiiii−i−i
χ9111111-1-1-1-1-1-1111111-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i11-1-11-1ii−i−i1-11-1i−ii−i111111-1-1-1-1-1-1111111-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i11-1-11-1ii−i−i1-11-1i−ii−i
χ10111111-1-1-1-1-1-1111111-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i11-1-11-1ii−i−i-11-11−ii−ii111111-1-1-1-1-1-1111111-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i11-1-11-1ii−i−i-11-11−ii−ii
χ11111111-1-1-1-1-1-1111111-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i-1-111-11−i−iiii−i−ii-111-1111111-1-1-1-1-1-1111111-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i-1-111-11−i−iiii−i−ii-111-1
χ12111111-1-1-1-1-1-1111111-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i-1-111-11−i−iii−iii−i1-1-11111111-1-1-1-1-1-1111111-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i-1-111-11−i−iii−iii−i1-1-11
χ13111111-1-1-1-1-1-1111111-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii11-1-11-1−i−iii1-11-1−ii−ii111111-1-1-1-1-1-1111111-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii11-1-11-1−i−iii1-11-1−ii−ii
χ14111111-1-1-1-1-1-1111111-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii11-1-11-1−i−iii-11-11i−ii−i111111-1-1-1-1-1-1111111-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii11-1-11-1−i−iii-11-11i−ii−i
χ15111111-1-1-1-1-1-1111111-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii-1-111-11ii−i−ii−i−ii1-1-11111111-1-1-1-1-1-1111111-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii-1-111-11ii−i−ii−i−ii1-1-11
χ16111111-1-1-1-1-1-1111111-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii-1-111-11ii−i−i−iii−i-111-1111111-1-1-1-1-1-1111111-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii-1-111-11ii−i−i−iii−i-111-1
χ1722222222222222-2-2-2-2-2-2-2-2000000000000000022-2-2-2200000000000022222222222222-2-2-2-2-2-2-2-2000000000000000022-2-2-22000000000000
χ1822222222222222-2-2-2-2-2-2-2-20000000000000000-2-2222-200000000000022222222222222-2-2-2-2-2-2-2-20000000000000000-2-2222-2000000000000
χ19222222-2-2-2-2-2-222-2-2-2-2222200000000000000002222-2-2000000000000222222-2-2-2-2-2-222-2-2-2-2222200000000000000002222-2-2000000000000
χ20222222-2-2-2-2-2-222-2-2-2-222220000000000000000-2-2-2-222000000000000222222-2-2-2-2-2-222-2-2-2-222220000000000000000-2-2-2-222000000000000
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χ242-2-222-20000002-200002i2i−2i−2i−1−i−1−i−1−i−1−i1+i1+i1+i1+i−1+i−1+i−1+i−1+i1−i1−i1−i1−i-22−2i2i001+i−1−i1−i−1+i000000002-2-222-20000002-200002i2i−2i−2i−1−i−1−i−1−i−1−i1+i1+i1+i1+i−1+i−1+i−1+i−1+i1−i1−i1−i1−i-22−2i2i001+i−1−i1−i−1+i00000000
χ252-2-222-20000002-20000−2i−2i2i2i1−i1−i1−i1−i−1+i−1+i−1+i−1+i1+i1+i1+i1+i−1−i−1−i−1−i−1−i2-2−2i2i001−i−1+i1+i−1−i000000002-2-222-20000002-20000−2i−2i2i2i1−i1−i1−i1−i−1+i−1+i−1+i−1+i1+i1+i1+i1+i−1−i−1−i−1−i−1−i2-2−2i2i001−i−1+i1+i−1−i00000000
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χ294444444444-4-4-4-40000000000000000000000000000000000000000004444444444-4-4-4-4000000000000000000000000000000000000000000
χ30444444-4-4-4-444-4-4000000000000000000000000000000000000000000444444-4-4-4-444-4-4000000000000000000000000000000000000000000
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χ344444-4-4-4-444000000000000-2-222-2-22222-2-222-2-20000000000000000004444-4-4-4-444000000000000-2-222-2-22222-2-222-2-2000000000000000000
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χ5711111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ58111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ5911111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1ii−i−iii−i−i-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111−i−iii−i−iii
χ6011111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1−i−iii−i−iii-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111ii−i−iii−i−i
χ611111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-11111-1-1-1-11111
χ621111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-111111111-1-1-1-1
χ631111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111ii−i−i−i−iii-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-1−i−iiiii−i−i
χ641111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111−i−iiiii−i−i-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-1ii−i−i−i−iii
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χ66111111-1-1-1-1-1-1111111-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i11-1-11-1ii−i−i-11-11−ii−ii-1-1-1-1-1-1111111-1-1-1-1-1-11111−i−i−i−i−i−i−i−iiiiiiiii-1-111-11−i−iii1-11-1i−ii−i
χ67111111-1-1-1-1-1-1111111-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i-1-111-11−i−iiii−i−ii-111-1-1-1-1-1-1-1111111-1-1-1-1-1-11111−i−i−i−i−i−i−i−iiiiiiiii11-1-11-1ii−i−i−iii−i1-1-11
χ68111111-1-1-1-1-1-1111111-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i-1-111-11−i−iii−iii−i1-1-11-1-1-1-1-1-1111111-1-1-1-1-1-11111−i−i−i−i−i−i−i−iiiiiiiii11-1-11-1ii−i−ii−i−ii-111-1
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χ70111111-1-1-1-1-1-1111111-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii11-1-11-1−i−iii-11-11i−ii−i-1-1-1-1-1-1111111-1-1-1-1-1-11111iiiiiiii−i−i−i−i−i−i−i−i-1-111-11ii−i−i1-11-1−ii−ii
χ71111111-1-1-1-1-1-1111111-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii-1-111-11ii−i−ii−i−ii1-1-11-1-1-1-1-1-1111111-1-1-1-1-1-11111iiiiiiii−i−i−i−i−i−i−i−i11-1-11-1−i−iii−iii−i-111-1
χ72111111-1-1-1-1-1-1111111-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii-1-111-11ii−i−i−iii−i-111-1-1-1-1-1-1-1111111-1-1-1-1-1-11111iiiiiiii−i−i−i−i−i−i−i−i11-1-11-1−i−iiii−i−ii1-1-11
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χ7422222222222222-2-2-2-2-2-2-2-20000000000000000-2-2222-2000000000000-2-2-2-2-2-2-2-2-2-2-2-2-2-222222222000000000000000022-2-2-22000000000000
χ75222222-2-2-2-2-2-222-2-2-2-2222200000000000000002222-2-2000000000000-2-2-2-2-2-2222222-2-22222-2-2-2-20000000000000000-2-2-2-222000000000000
χ76222222-2-2-2-2-2-222-2-2-2-222220000000000000000-2-2-2-222000000000000-2-2-2-2-2-2222222-2-22222-2-2-2-200000000000000002222-2-2000000000000
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χ832-2-222-20000002-20000−2i−2i2i2i−1+i−1+i−1+i−1+i1−i1−i1−i1−i−1−i−1−i−1−i−1−i1+i1+i1+i1+i2-2−2i2i00−1+i1−i−1−i1+i00000000-222-2-22000000-2200002i2i−2i−2i1−i1−i1−i1−i−1+i−1+i−1+i−1+i1+i1+i1+i1+i−1−i−1−i−1−i−1−i-222i−2i001−i−1+i1+i−1−i00000000
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χ854444444444-4-4-4-4000000000000000000000000000000000000000000-4-4-4-4-4-4-4-4-4-44444000000000000000000000000000000000000000000
χ86444444-4-4-4-444-4-4000000000000000000000000000000000000000000-4-4-4-4-4-44444-4-444000000000000000000000000000000000000000000
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χ1074-4-444-4000000-444i−4i−4i4i00000000000000000000000000000000000000-444-4-440000004-4−4i4i4i−4i00000000000000000000000000000000000000
χ1084-4-444-4000000-44−4i4i4i−4i00000000000000000000000000000000000000-444-4-440000004-44i−4i−4i4i00000000000000000000000000000000000000
χ1094-4-44-4400004-400000000002i2i−2i−2i−2i−2i2i2i2i2i−2i−2i−2i−2i2i2i000000000000000000-444-44-40000-440000000000−2i−2i2i2i2i2i−2i−2i−2i−2i2i2i2i2i−2i−2i000000000000000000
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χ1114-4-44-440000-44000000000022-2-2-2-222-2-22222-2-2000000000000000000-444-44-400004-40000000000-2-22222-2-222-2-2-2-222000000000000000000
χ1124-4-44-440000-440000000000-2-22222-2-222-2-2-2-222000000000000000000-444-44-400004-4000000000022-2-2-2-222-2-22222-2-2000000000000000000

Here i is the imaginary unit (i² = −1).