Finite Group Databasebeta

← Group #72213402

Character table — Group #72213402

Order 1024.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158C159C160
size111111112222222222222222222244444444444444444444888888888888888816161616161616161616161616161616111111112222222222222222222244444444444444444444888888888888888816161616161616161616161616161616
order1222444422222244444444444444444488888888888888882222444488888888244488888888888822224444222222444444444444444444888888888888888822224444888888882444888888888888
χ11111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1
χ4111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ511111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1
χ611111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111
χ711111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11111
χ811111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1
χ91111-1-1-1-111-1-1-1-1-1-1-1-1111-1-1111111-1-1111111111-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-111-1-111-1-111-1-111-1-11111-1-1-1-111-1-1-1-1-1-1-1-1111-1-1111111-1-1111111111-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-111-1-111-1-111-1-111-1-1
χ101111-1-1-1-111-1-1-1-1-1-1-1-1111-1-1111111-1-1111111111-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-1-1-111-1-111-1-111-1-1111111-1-1-1-111-1-1-1-1-1-1-1-1111-1-1111111-1-1111111111-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-1-1-111-1-111-1-111-1-111
χ111111-1-1-1-111-1-1-1-1-1-1-1-1111-1-1111111-1-1111111111-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1111111-1-111-1-1-1-111-1-1111111-1-1-1-111-1-1-1-1-1-1-1-1111-1-1111111-1-1111111111-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1111111-1-111-1-1-1-111-1-111
χ121111-1-1-1-111-1-1-1-1-1-1-1-1111-1-1111111-1-1111111111-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-11111-1-111-1-11111-1-111-1-11111-1-1-1-111-1-1-1-1-1-1-1-1111-1-1111111-1-1111111111-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-11111-1-111-1-11111-1-111-1-1
χ131111-1-1-1-111-1-1-1-1-1-1-1-1111-1-1111111-1-11-1-1-1-1-1-1-1-11111111111-1-111-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-1111111-1-1-1-111-1-1-1-1-1-1-1-1111-1-1111111-1-11-1-1-1-1-1-1-1-11111111111-1-111-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-111
χ141111-1-1-1-111-1-1-1-1-1-1-1-1111-1-1111111-1-11-1-1-1-1-1-1-1-11111111111-1-111-1-1-1-1-1-11111-1-11111-1-1-1-11111-1-11111-1-1-1-111-1-1-1-1-1-1-1-1111-1-1111111-1-11-1-1-1-1-1-1-1-11111111111-1-111-1-1-1-1-1-11111-1-11111-1-1-1-11111-1-1
χ151111-1-1-1-111-1-1-1-1-1-1-1-1111-1-1111111-1-11-1-1-1-1-1-1-1-111111111-1-111-1-1111111-1-1-1-111-1-1-1-111-1-11111-1-11111-1-1-1-111-1-1-1-1-1-1-1-1111-1-1111111-1-11-1-1-1-1-1-1-1-111111111-1-111-1-1111111-1-1-1-111-1-1-1-111-1-11111-1-1
χ161111-1-1-1-111-1-1-1-1-1-1-1-1111-1-1111111-1-11-1-1-1-1-1-1-1-111111111-1-111-1-1111111-1-1-1-1-1-11111-1-111-1-1-1-1111111-1-1-1-111-1-1-1-1-1-1-1-1111-1-1111111-1-11-1-1-1-1-1-1-1-111111111-1-111-1-1111111-1-1-1-1-1-11111-1-111-1-1-1-111
χ1722222222222222-2-2-2-222222-2-2-2-22-2-2-2-20000000000000000000000000000000000002i−2i2i−2i0000000022222222222222-2-2-2-222222-2-2-2-22-2-2-2-20000000000000000000000000000000000002i−2i2i−2i00000000
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χ192222222222-2-2-2-22222-2-2-2222222-2-2-2-2-2000000000000000022-2-2-2-2220000000000000000000000002222222222-2-2-2-22222-2-2-2222222-2-2-2-2-2000000000000000022-2-2-2-222000000000000000000000000
χ202222222222-2-2-2-22222-2-2-2222222-2-2-2-2-20000000000000000-2-22222-2-20000000000000000000000002222222222-2-2-2-22222-2-2-2222222-2-2-2-2-20000000000000000-2-22222-2-2000000000000000000000000
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χ222222222222-2-2-2-2-2-2-2-2-2-2-222-2-2-2-2-2222200000000000000000000000000000000000000000000−2i2i−2i2i2222222222-2-2-2-2-2-2-2-2-2-2-222-2-2-2-2-2222200000000000000000000000000000000000000000000−2i2i−2i2i
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χ2522222222-2-222-2-2-2-22222-2-2-2-2-222-2-2-22200000000000000000000000000000000000000002-22-2000022222222-2-222-2-2-2-22222-2-2-2-2-222-2-2-22200000000000000000000000000000000000000002-22-20000
χ2622222222-2-222-2-2-2-22222-2-2-2-2-222-2-2-2220000000000000000000000000000000000000000-22-22000022222222-2-222-2-2-2-22222-2-2-2-2-222-2-2-2220000000000000000000000000000000000000000-22-220000
χ2722222222-2-2-2-22222-2-2-2-22-2-222-2-22-2-2222222-2-2-2-22222-2-2-2-20000000000000000000000000000000022222222-2-2-2-22222-2-2-2-22-2-222-2-22-2-2222222-2-2-2-22222-2-2-2-200000000000000000000000000000000
χ2822222222-2-2-2-22222-2-2-2-22-2-222-2-22-2-222-2-2-2-22222-2-2-2-222220000000000000000000000000000000022222222-2-2-2-22222-2-2-2-22-2-222-2-22-2-222-2-2-2-22222-2-2-2-2222200000000000000000000000000000000
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χ3022222222-2-2-2-222-2-222-2-22-2-2-2-222222-2-200000000000000000000000000000000-222-200000000000022222222-2-2-2-222-2-222-2-22-2-2-2-222222-2-200000000000000000000000000000000-222-2000000000000
χ312222-2-2-2-22222222222-2-2-2-2-2-2-2-2-2-22-2-22000000000000000000000000000000000000000000002i−2i−2i2i2222-2-2-2-22222222222-2-2-2-2-2-2-2-2-2-22-2-22000000000000000000000000000000000000000000002i−2i−2i2i
χ322222-2-2-2-22222222222-2-2-2-2-2-2-2-2-2-22-2-2200000000000000000000000000000000000000000000−2i2i2i−2i2222-2-2-2-22222222222-2-2-2-2-2-2-2-2-2-22-2-2200000000000000000000000000000000000000000000−2i2i2i−2i
χ332222-2-2-2-2222222-2-2-2-2-2-2-2-2-22222-2-222-200000000000000002222-2-2-2-20000000000000000000000002222-2-2-2-2222222-2-2-2-2-2-2-2-2-22222-2-222-200000000000000002222-2-2-2-2000000000000000000000000
χ342222-2-2-2-2222222-2-2-2-2-2-2-2-2-22222-2-222-20000000000000000-2-2-2-222220000000000000000000000002222-2-2-2-2222222-2-2-2-2-2-2-2-2-22222-2-222-20000000000000000-2-2-2-22222000000000000000000000000
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χ372222-2-2-2-2-2-222-2-222-2-2-2-2222-2-22222-22-2000000000000000000000000000000002-22-20000000000002222-2-2-2-2-2-222-2-222-2-2-2-2222-2-22222-22-2000000000000000000000000000000002-22-2000000000000
χ382222-2-2-2-2-2-222-2-222-2-2-2-2222-2-22222-22-200000000000000000000000000000000-22-220000000000002222-2-2-2-2-2-222-2-222-2-2-2-2222-2-22222-22-200000000000000000000000000000000-22-22000000000000
χ392222-2-2-2-2-2-222-2-2-2-222-2-222222-2-22-22-222222-2-2-2-2-2-2-2-22222000000000000000000000000000000002222-2-2-2-2-2-222-2-2-2-222-2-222222-2-22-22-222222-2-2-2-2-2-2-2-2222200000000000000000000000000000000
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χ422222-2-2-2-2-2-2-2-22222-2-222-222-2-222-2-22-220000000000000000000000000000000000000000-222-200002222-2-2-2-2-2-2-2-22222-2-222-222-2-222-2-22-220000000000000000000000000000000000000000-222-20000
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χ1564-4-444-4-440000-44000000-4000000400000000−222222−220000−222222−2200000000000000000000000000000000-444-4-444-400004-40000004000000-40000000022−22−2222000022−22−222200000000000000000000000000000000
χ1574-4-44-444-400004-4000000-400000040000000022−22−22220000−222222−2200000000000000000000000000000000-444-44-4-440000-440000004000000-400000000−222222−22000022−22−222200000000000000000000000000000000
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χ1604-4-44-444-40000-440000004000000-40000−2i22i22i2−2i20000−2i22i22i2−2i2000000000000000000000000000000000000-444-44-4-4400004-4000000-4000000400002i2−2i2−2i22i200002i2−2i2−2i22i2000000000000000000000000000000000000

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