Finite Group Databasebeta

← Group #72313820

Character table — Group #72313820

Order 2048.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134
size11112222224444444444444444444488888888888888888888888888888888161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161632323232323232323232323232323232646464646464
order1222224444222222444444444488882244444444444444444444444488888822222222444444444444444444444488888888888816161616161616162244161616161616161616161616888888
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1
χ41111111111111111111111111111111111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111
χ511111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1
χ611111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11111
χ711111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111
χ811111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-11111111111-1-1-1-1
χ91111111111111111111-1-1-1-11111111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-1-1-1111111111111-1-1-1-11111-1-1-1-1-1-111-1-1
χ101111111111111111111-1-1-1-11111111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-111
χ111111111111111111111-1-1-1-11111111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-11111-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-111
χ121111111111111111111-1-1-1-11111111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-111-1-1
χ131111111111111111111-1-1-1-11111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-11111-1-1111111111111-1-1-1-1-1-1-1-11111-1-1-1-111
χ141111111111111111111-1-1-1-11111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1
χ151111111111111111111-1-1-1-11111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1
χ161111111111111111111-1-1-1-11111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-111
χ171-1-111-11-1-11111-1-1-111-111-1-11-1-111-1-11-1ii−i−iii−i−i1-11-1ii−i−iii−i−iii−i−i1-1-111-111-1-111-1-1ii−i−i11-1-111-1-1iii−i−i−iii−i−i1-1ii−i−iii−i−i1-1iiii−i−i−i−i1-11-1ii−i−i11-1-111-1-11-1i−ii−i
χ181-1-111-11-1-11111-1-1-111-111-1-11-1-111-1-11-1ii−i−iii−i−i1-11-1ii−i−iii−i−iii−i−i1-1-111-111-1-111-1-1ii−i−i11-1-111-1-1iii−i−i−iii−i−i1-1ii−i−iii−i−i1-1−i−i−i−iiiii-11-11−i−iii-1-111-1-111-11−ii−ii
χ191-1-111-11-1-11111-1-1-111-111-1-11-1-111-1-11-1ii−i−iii−i−i1-11-1ii−i−iii−i−i−i−iii1-1-111-1-1-111-1-111−i−iii-1-111-1-111−i−i−iiii−i−iii1-1ii−i−iii−i−i1-1iiii−i−i−i−i-11-11ii−i−i11-1-111-1-1-11−ii−ii
χ201-1-111-11-1-11111-1-1-111-111-1-11-1-111-1-11-1ii−i−iii−i−i1-11-1ii−i−iii−i−i−i−iii1-1-111-1-1-111-1-111−i−iii-1-111-1-111−i−i−iiii−i−iii1-1ii−i−iii−i−i1-1−i−i−i−iiiii1-11-1−i−iii-1-111-1-1111-1i−ii−i
χ211-1-111-11-1-11111-1-1-111-111-1-11-1-111-1-11-1−i−iii−i−iii1-11-1−i−iii−i−iiiii−i−i1-1-111-1-1-111-1-111ii−i−i-1-111-1-111iii−i−i−iii−i−i1-1−i−iii−i−iii1-1iiii−i−i−i−i1-11-1ii−i−i-1-111-1-1111-1−ii−ii
χ221-1-111-11-1-11111-1-1-111-111-1-11-1-111-1-11-1−i−iii−i−iii1-11-1−i−iii−i−iiiii−i−i1-1-111-1-1-111-1-111ii−i−i-1-111-1-111iii−i−i−iii−i−i1-1−i−iii−i−iii1-1−i−i−i−iiiii-11-11−i−iii11-1-111-1-1-11i−ii−i
χ231-1-111-11-1-11111-1-1-111-111-1-11-1-111-1-11-1−i−iii−i−iii1-11-1−i−iii−i−iii−i−iii1-1-111-111-1-111-1-1−i−iii11-1-111-1-1−i−i−iiii−i−iii1-1−i−iii−i−iii1-1iiii−i−i−i−i-11-11ii−i−i-1-111-1-111-11i−ii−i
χ241-1-111-11-1-11111-1-1-111-111-1-11-1-111-1-11-1−i−iii−i−iii1-11-1−i−iii−i−iii−i−iii1-1-111-111-1-111-1-1−i−iii11-1-111-1-1−i−i−iiii−i−iii1-1−i−iii−i−iii1-1−i−i−i−iiiii1-11-1−i−iii11-1-111-1-11-1−ii−ii
χ251-1-111-11-1-11111-1-1-111-1-1-1111-1-111-1-1-11ii−i−i−i−iii-11-11ii−i−i−i−iiiii−i−i1-1-111-111-1-1-1-111−i−iii11-1-1-1-111iii−i−i−i−i−iii-11ii−i−i−i−iii-11iiii−i−i−i−i1-11-1−i−iii11-1-1-1-111-11i−i−ii
χ261-1-111-11-1-11111-1-1-111-1-1-1111-1-111-1-1-11ii−i−i−i−iii-11-11ii−i−i−i−iiiii−i−i1-1-111-111-1-1-1-111−i−iii11-1-1-1-111iii−i−i−i−i−iii-11ii−i−i−i−iii-11−i−i−i−iiiii-11-11ii−i−i-1-11111-1-11-1−iii−i
χ271-1-111-11-1-11111-1-1-111-1-1-1111-1-111-1-1-11ii−i−i−i−iii-11-11ii−i−i−i−iii−i−iii1-1-111-1-1-11111-1-1ii−i−i-1-11111-1-1−i−i−iiiiii−i−i-11ii−i−i−i−iii-11iiii−i−i−i−i-11-11−i−iii11-1-1-1-1111-1−iii−i
χ281-1-111-11-1-11111-1-1-111-1-1-1111-1-111-1-1-11ii−i−i−i−iii-11-11ii−i−i−i−iii−i−iii1-1-111-1-1-11111-1-1ii−i−i-1-11111-1-1−i−i−iiiiii−i−i-11ii−i−i−i−iii-11−i−i−i−iiiii1-11-1ii−i−i-1-11111-1-1-11i−i−ii
χ291-1-111-11-1-11111-1-1-111-1-1-1111-1-111-1-1-11−i−iiiii−i−i-11-11−i−iiiii−i−iii−i−i1-1-111-1-1-11111-1-1−i−iii-1-11111-1-1iii−i−i−i−i−iii-11−i−iiiii−i−i-11iiii−i−i−i−i1-11-1−i−iii-1-11111-1-1-11−iii−i
χ301-1-111-11-1-11111-1-1-111-1-1-1111-1-111-1-1-11−i−iiiii−i−i-11-11−i−iiiii−i−iii−i−i1-1-111-1-1-11111-1-1−i−iii-1-11111-1-1iii−i−i−i−i−iii-11−i−iiiii−i−i-11−i−i−i−iiiii-11-11ii−i−i11-1-1-1-1111-1i−i−ii
χ311-1-111-11-1-11111-1-1-111-1-1-1111-1-111-1-1-11−i−iiiii−i−i-11-11−i−iiiii−i−i−i−iii1-1-111-111-1-1-1-111ii−i−i11-1-1-1-111−i−i−iiiiii−i−i-11−i−iiiii−i−i-11iiii−i−i−i−i-11-11−i−iii-1-11111-1-11-1i−i−ii
χ321-1-111-11-1-11111-1-1-111-1-1-1111-1-111-1-1-11−i−iiiii−i−i-11-11−i−iiiii−i−i−i−iii1-1-111-111-1-1-1-111ii−i−i11-1-1-1-111−i−i−iiiiii−i−i-11−i−iiiii−i−i-11−i−i−i−iiiii1-11-1ii−i−i11-1-1-1-111-11−iii−i
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χ3422222222222222222222222222-2-2-2-222-2-2-2-2-2-2-2-22222-2-2-2-2-2-2-2-20000-2-2-2-2-2-2000000000000000000000000000000-2-222222222-2-2000000000000000000000000000000
χ352222222222222222222-2-2-2-2222-2-2-2-2-2-22222-2-2-2-2-2-2-2-22222-2-2-2-20000-2-2-2-2-2-200000000000000000000000000000022-2-2-2-2222222000000000000000000000000000000
χ362222222222222222222-2-2-2-2222-2-2-2-2-2-2-2-2-2-22222-2-2-2-2-2-2-2-222220000-2-2-2-2-2-2000000000000000000000000000000222222-2-2-2-222000000000000000000000000000000
χ3722222222222-2-22-2-22-2-20000-22-22222000000222200000000-2-2-2-22222-22-22-2-20000-2-2-2-20000000022222-2-22-2-200000000002-22-200000000000000000000000000000000
χ3822222222222-2-22-2-22-2-20000-22-22222000000222200000000-2-2-2-2-2-2-2-2-22-22-2-20000222200000000-2-2-2-2-222-22200000000002-22-200000000000000000000000000000000
χ3922222222222-2-22-2-22-2-20000-22-22222000000-2-2-2-20000000022222222-22-22-2-20000222200000000-2-2-2-22-2-22-2-20000000000-22-2200000000000000000000000000000000
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χ702-2-222-22-2-22222-2-2-222-222-2-22-2-2-2-2222-2−2i−2i2i2i−2i−2i2i2i2-22-2−2i−2i2i2i−2i−2i2i2i0000-222-2-22000000000000000000000000000000-222i2i−2i−2i2i2i−2i−2i-22000000000000000000000000000000
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Here i is the imaginary unit (i² = −1).