Finite Group Databasebeta

← Group #72271327

Character table — Group #72271327

Order 3072.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144
size111122222222224444444444444444444444888888888888888888888888888888161616161616161616161616161616161616161616161616161632323232323232323232323232323232323232323232323248484848484848484848484848484848484848484848484896969696
order122222222236662222222222224444666666222244666666666666666612121212121212122244444466666612121212121212121212121244448888121212121212121224242424242424242244444444444444444444444444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111
χ5111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-111111111-1-1-1-1
χ6111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111
χ7111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11111
χ8111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-1-1-1111111111111-1-1-1-1
χ91111111111111111111111-1-1-1-11111111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1ii−i−iii−i−iiiii−i−i−i−iiiii−i−i−i−i11111111-1-1-1-1-1-1-1-1iiii−i−i−i−iii−i−i
χ101111111111111111111111-1-1-1-11111111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1ii−i−iii−i−iiiii−i−i−i−iiiii−i−i−i−i-1-1-1-1-1-1-1-111111111−i−i−i−iiiii−i−iii
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χ121111111111111111111111-1-1-1-11111111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1−i−iii−i−iii−i−i−i−iiiii−i−i−i−iiiii-1-1-1-1-1-1-1-111111111iiii−i−i−i−iii−i−i
χ131111111111111111111111-1-1-1-11111111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111111111ii−i−i−i−iiiiiii−i−i−i−i−i−i−i−iiiii11-1-1-1-111-1-1-1-11111iiii−i−i−i−i−i−iii
χ141111111111111111111111-1-1-1-11111111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111111111ii−i−i−i−iiiiiii−i−i−i−i−i−i−i−iiiii-1-11111-1-11111-1-1-1-1−i−i−i−iiiiiii−i−i
χ151111111111111111111111-1-1-1-11111111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111111111−i−iiiii−i−i−i−i−i−iiiiiiiii−i−i−i−i11-1-1-1-111-1-1-1-11111−i−i−i−iiiiiii−i−i
χ161111111111111111111111-1-1-1-11111111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111111111−i−iiiii−i−i−i−i−i−iiiiiiiii−i−i−i−i-1-11111-1-11111-1-1-1-1iiii−i−i−i−i−i−iii
χ17222222222222222222-2-2-2-22222-2-2-2-22222222-22-2-2-22222-2-2-2-222222222-2-2-2-2-2-2-2-200000000-2-200000000000000000000000000000000000000002-200002-222-2-20000000000000000
χ18222222222222222222-2-2-2-22222-2-2-2-22222222-22-2-2-22222-2-2-2-222222222-2-2-2-2-2-2-2-200000000-2-20000000000000000000000000000000000000000-220000-22-2-2220000000000000000
χ19222222222222222222-2-2-2-2-2-2-2-2-2-2-2-2222222-22-22222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-22222000000002200000000000000000000000000000000000000002-200002-2-2-2220000000000000000
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χ2422222222222222-2-2-2-22222-2-2-2-2-2-2-2-22222222-22-222-2-2-2-22222-2-2-2-22222-2-2-2-22222-22-2222-2-2-2-2-2-222-2-2222222-2-2-2-20000000000000000000000000000000000000000000000000000
χ2522222222222222-2-2-2-2-2-2-2-222222222222222-2-2-2-222-2-2-2-2-2-2-2-22222-2-2-2-22222222200000000-2-200000000000000000000000000000000000000000022-2-200000022-2-2000000000000
χ2622222222222222-2-2-2-2-2-2-2-222222222222222-2-2-2-222-2-2-2-2-2-2-2-22222-2-2-2-22222222200000000-2-2000000000000000000000000000000000000000000-2-222000000-2-222000000000000
χ2722222222222222-2-2-2-2-2-2-2-2-2-2-2-222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-222222222-2-2-2-2000000002200000000000000000000000000000000000000000022-2-2000000-2-222000000000000
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χ332222222222-1-1-1-122222222-2-2-2-22222-1-1-1-1-1-1-2-2-2-2-2-2-1-1-1-1-1-1-1-111111111-1-1-1-111112222-2-2-2-211-1-1-1-1-1-1-1-1111111112i2i−2i−2i2i2i−2i−2i−i−i−i−iiiii−i−i−i−iiiii0000000000000000000000000000
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χ352222222222-1-1-1-122222222-2-2-2-22222-1-1-1-1-1-1-2-2-2-2-2-2-1-1-1-1-1-1-1-111111111-1-1-1-11111-2-2-2-222221111111111-1-1-1-1-1-1-1-12i2i−2i−2i−2i−2i2i2i−i−i−i−iiiiiiiii−i−i−i−i0000000000000000000000000000
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χ372222222222-1-1-1-1-2-2-2-222222222-2-2-2-2-1-1-1-1-1-1-22-22-2-21111-1-1-1-1-1-1-1-11111111111112-22-222-2-2-1-1-1-111-1-111-1-1-1-111110000000033−3−333−3−333−3−333−3−30000000000000000000000000000
χ382222222222-1-1-1-1-2-2-2-222222222-2-2-2-2-1-1-1-1-1-1-22-22-2-21111-1-1-1-1-1-1-1-11111111111112-22-222-2-2-1-1-1-111-1-111-1-1-1-1111100000000−3−333−3−333−3−333−3−3330000000000000000000000000000
χ392222222222-1-1-1-1-2-2-2-222222222-2-2-2-2-1-1-1-1-1-1-22-22-2-21111-1-1-1-1-1-1-1-1111111111111-22-22-2-222-1-111-1-111-1-11111-1-1-1-10000000033−3−333−3−3−3−333−3−3330000000000000000000000000000
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Here i is the imaginary unit (i² = −1).