Finite Group Databasebeta

← Group #72314762

Character table — Group #72314762

Order 1024.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158C159C160C161C162C163C164C165C166C167C168C169C170C171C172C173C174C175C176C177C178C179C180C181C182C183C184
size1111222222222222228888888888888888888888888888111122222222222222888888888888888888888888888811112222222222222288888888888888888888888888881111222222222222228888888888888888888888888888
order1222222222444444442222224444448888888888888888222222222244444444222222444444888888888888888822222222224444444422222244444488888888888888882222222222444444442222224444448888888888888888
χ11111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1
χ41111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ5111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1
χ6111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111
χ7111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111
χ8111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1
χ91-1-11111-1-1-1111-11-1-1-111-1-11-11-1ii−i−i11-1-1ii−i−iii−i−iii−i−i1-1-11111-1-1-1111-11-1-1-111-1-11-11-1ii−i−i11-1-1ii−i−iii−i−iii−i−i1-1-11111-1-1-1111-11-1-1-111-1-11-11-1ii−i−i11-1-1ii−i−iii−i−iii−i−i1-1-11111-1-1-1111-11-1-1-111-1-11-11-1ii−i−i11-1-1ii−i−iii−i−iii−i−i
χ101-1-11111-1-1-1111-11-1-1-111-1-11-11-1−i−iii11-1-1−i−iii−i−iii−i−iii1-1-11111-1-1-1111-11-1-1-111-1-11-11-1−i−iii11-1-1−i−iii−i−iii−i−iii1-1-11111-1-1-1111-11-1-1-111-1-11-11-1−i−iii11-1-1−i−iii−i−iii−i−iii1-1-11111-1-1-1111-11-1-1-111-1-11-11-1−i−iii11-1-1−i−iii−i−iii−i−iii
χ111-1-11111-1-1-1111-11-1-1-111-1-1-11-11ii−i−i-1-111ii−i−i−i−iii−i−iii1-1-11111-1-1-1111-11-1-1-111-1-1-11-11ii−i−i-1-111ii−i−i−i−iii−i−iii1-1-11111-1-1-1111-11-1-1-111-1-1-11-11ii−i−i-1-111ii−i−i−i−iii−i−iii1-1-11111-1-1-1111-11-1-1-111-1-1-11-11ii−i−i-1-111ii−i−i−i−iii−i−iii
χ121-1-11111-1-1-1111-11-1-1-111-1-1-11-11−i−iii-1-111−i−iiiii−i−iii−i−i1-1-11111-1-1-1111-11-1-1-111-1-1-11-11−i−iii-1-111−i−iiiii−i−iii−i−i1-1-11111-1-1-1111-11-1-1-111-1-1-11-11−i−iii-1-111−i−iiiii−i−iii−i−i1-1-11111-1-1-1111-11-1-1-111-1-1-11-11−i−iii-1-111−i−iiiii−i−iii−i−i
χ131-1-11111-1-1-1111-11-1-1-1-1-1111-11-1ii−i−i-1-111−i−iiiii−i−i−i−iii1-1-11111-1-1-1111-11-1-1-1-1-1111-11-1ii−i−i-1-111−i−iiiii−i−i−i−iii1-1-11111-1-1-1111-11-1-1-1-1-1111-11-1ii−i−i-1-111−i−iiiii−i−i−i−iii1-1-11111-1-1-1111-11-1-1-1-1-1111-11-1ii−i−i-1-111−i−iiiii−i−i−i−iii
χ141-1-11111-1-1-1111-11-1-1-1-1-1111-11-1−i−iii-1-111ii−i−i−i−iiiii−i−i1-1-11111-1-1-1111-11-1-1-1-1-1111-11-1−i−iii-1-111ii−i−i−i−iiiii−i−i1-1-11111-1-1-1111-11-1-1-1-1-1111-11-1−i−iii-1-111ii−i−i−i−iiiii−i−i1-1-11111-1-1-1111-11-1-1-1-1-1111-11-1−i−iii-1-111ii−i−i−i−iiiii−i−i
χ151-1-11111-1-1-1111-11-1-1-1-1-111-11-11ii−i−i11-1-1−i−iii−i−iiiii−i−i1-1-11111-1-1-1111-11-1-1-1-1-111-11-11ii−i−i11-1-1−i−iii−i−iiiii−i−i1-1-11111-1-1-1111-11-1-1-1-1-111-11-11ii−i−i11-1-1−i−iii−i−iiiii−i−i1-1-11111-1-1-1111-11-1-1-1-1-111-11-11ii−i−i11-1-1−i−iii−i−iiiii−i−i
χ161-1-11111-1-1-1111-11-1-1-1-1-111-11-11−i−iii11-1-1ii−i−iii−i−i−i−iii1-1-11111-1-1-1111-11-1-1-1-1-111-11-11−i−iii11-1-1ii−i−iii−i−i−i−iii1-1-11111-1-1-1111-11-1-1-1-1-111-11-11−i−iii11-1-1ii−i−iii−i−i−i−iii1-1-11111-1-1-1111-11-1-1-1-1-111-11-11−i−iii11-1-1ii−i−iii−i−i−i−iii
χ172222222222-2-2-2-2-2-2-2-20000000000000000000000002i−2i2i−2i2222222222-2-2-2-2-2-2-2-20000000000000000000000002i−2i2i−2i2222222222-2-2-2-2-2-2-2-20000000000000000000000002i−2i2i−2i2222222222-2-2-2-2-2-2-2-20000000000000000000000002i−2i2i−2i
χ182222222222-2-2-2-2-2-2-2-2000000000000000000000000−2i2i−2i2i2222222222-2-2-2-2-2-2-2-2000000000000000000000000−2i2i−2i2i2222222222-2-2-2-2-2-2-2-2000000000000000000000000−2i2i−2i2i2222222222-2-2-2-2-2-2-2-2000000000000000000000000−2i2i−2i2i
χ1922222-2-22-2-222-22-22-2-200000000000000002i−2i2i−2i0000000022222-2-22-2-222-22-22-2-200000000000000002i−2i2i−2i0000000022222-2-22-2-222-22-22-2-200000000000000002i−2i2i−2i0000000022222-2-22-2-222-22-22-2-200000000000000002i−2i2i−2i00000000
χ2022222-2-22-2-222-22-22-2-20000000000000000−2i2i−2i2i0000000022222-2-22-2-222-22-22-2-20000000000000000−2i2i−2i2i0000000022222-2-22-2-222-22-22-2-20000000000000000−2i2i−2i2i0000000022222-2-22-2-222-22-22-2-20000000000000000−2i2i−2i2i00000000
χ2122222-2-22-2-2-2-22-22-222000022-2-20000000000000000000022222-2-22-2-2-2-22-22-222000022-2-20000000000000000000022222-2-22-2-2-2-22-22-222000022-2-20000000000000000000022222-2-22-2-2-2-22-22-222000022-2-200000000000000000000
χ2222222-2-22-2-2-2-22-22-2220000-2-2220000000000000000000022222-2-22-2-2-2-22-22-2220000-2-2220000000000000000000022222-2-22-2-2-2-22-22-2220000-2-2220000000000000000000022222-2-22-2-2-2-22-22-2220000-2-22200000000000000000000
χ232222-22-2-22-22-222-2-22-2000000002i−2i2i−2i00000000000000002222-22-2-22-22-222-2-22-2000000002i−2i2i−2i00000000000000002222-22-2-22-22-222-2-22-2000000002i−2i2i−2i00000000000000002222-22-2-22-22-222-2-22-2000000002i−2i2i−2i0000000000000000
χ242222-22-2-22-22-222-2-22-200000000−2i2i−2i2i00000000000000002222-22-2-22-22-222-2-22-200000000−2i2i−2i2i00000000000000002222-22-2-22-22-222-2-22-200000000−2i2i−2i2i00000000000000002222-22-2-22-22-222-2-22-200000000−2i2i−2i2i0000000000000000
χ252222-22-2-22-2-22-2-222-220000000000002-22-20000000000002222-22-2-22-2-22-2-222-220000000000002-22-20000000000002222-22-2-22-2-22-2-222-220000000000002-22-20000000000002222-22-2-22-2-22-2-222-220000000000002-22-2000000000000
χ262222-22-2-22-2-22-2-222-22000000000000-22-220000000000002222-22-2-22-2-22-2-222-22000000000000-22-220000000000002222-22-2-22-2-22-2-222-22000000000000-22-220000000000002222-22-2-22-2-22-2-222-22000000000000-22-22000000000000
χ272222-2-22-2-222-2-222-2-222-22-20000000000000000000000002222-2-22-2-222-2-222-2-222-22-20000000000000000000000002222-2-22-2-222-2-222-2-222-22-20000000000000000000000002222-2-22-2-222-2-222-2-222-22-2000000000000000000000000
χ282222-2-22-2-222-2-222-2-22-22-220000000000000000000000002222-2-22-2-222-2-222-2-22-22-220000000000000000000000002222-2-22-2-222-2-222-2-22-22-220000000000000000000000002222-2-22-2-222-2-222-2-22-22-22000000000000000000000000
χ292222-2-22-2-22-222-2-222-2000000000000000000002-22-200002222-2-22-2-22-222-2-222-2000000000000000000002-22-200002222-2-22-2-22-222-2-222-2000000000000000000002-22-200002222-2-22-2-22-222-2-222-2000000000000000000002-22-20000
χ302222-2-22-2-22-222-2-222-200000000000000000000-22-2200002222-2-22-2-22-222-2-222-200000000000000000000-22-2200002222-2-22-2-22-222-2-222-200000000000000000000-22-2200002222-2-22-2-22-222-2-222-200000000000000000000-22-220000
χ312-2-22222-2-2-2-2-2-22-22220000000000000000000000002-2-222-2-22222-2-2-2-2-2-22-22220000000000000000000000002-2-222-2-22222-2-2-2-2-2-22-22220000000000000000000000002-2-222-2-22222-2-2-2-2-2-22-22220000000000000000000000002-2-22
χ322-2-22222-2-2-2-2-2-22-2222000000000000000000000000-222-22-2-22222-2-2-2-2-2-22-2222000000000000000000000000-222-22-2-22222-2-2-2-2-2-22-2222000000000000000000000000-222-22-2-22222-2-2-2-2-2-22-2222000000000000000000000000-222-2
χ332-2-222-2-2-22222-2-2-2-22200000000000000002-2-22000000002-2-222-2-2-22222-2-2-2-22200000000000000002-2-22000000002-2-222-2-2-22222-2-2-2-22200000000000000002-2-22000000002-2-222-2-2-22222-2-2-2-22200000000000000002-2-2200000000
χ342-2-222-2-2-22222-2-2-2-2220000000000000000-222-2000000002-2-222-2-2-22222-2-2-2-2220000000000000000-222-2000000002-2-222-2-2-22222-2-2-2-2220000000000000000-222-2000000002-2-222-2-2-22222-2-2-2-2220000000000000000-222-200000000
χ352-2-222-2-2-222-2-22222-2-200002-2-22000000000000000000002-2-222-2-2-222-2-22222-2-200002-2-22000000000000000000002-2-222-2-2-222-2-22222-2-200002-2-22000000000000000000002-2-222-2-2-222-2-22222-2-200002-2-2200000000000000000000
χ362-2-222-2-2-222-2-22222-2-20000-222-2000000000000000000002-2-222-2-2-222-2-22222-2-20000-222-2000000000000000000002-2-222-2-2-222-2-22222-2-20000-222-2000000000000000000002-2-222-2-2-222-2-22222-2-20000-222-200000000000000000000
χ372-2-22-22-22-222-22-2-22-22000000002-2-2200000000000000002-2-22-22-22-222-22-2-22-22000000002-2-2200000000000000002-2-22-22-22-222-22-2-22-22000000002-2-2200000000000000002-2-22-22-22-222-22-2-22-22000000002-2-220000000000000000
χ382-2-22-22-22-222-22-2-22-2200000000-222-200000000000000002-2-22-22-22-222-22-2-22-2200000000-222-200000000000000002-2-22-22-22-222-22-2-22-2200000000-222-200000000000000002-2-22-22-22-222-22-2-22-2200000000-222-20000000000000000
χ392-2-22-22-22-22-22-222-22-20000000000002-2-220000000000002-2-22-22-22-22-22-222-22-20000000000002-2-220000000000002-2-22-22-22-22-22-222-22-20000000000002-2-220000000000002-2-22-22-22-22-22-222-22-20000000000002-2-22000000000000
χ402-2-22-22-22-22-22-222-22-2000000000000-222-20000000000002-2-22-22-22-22-22-222-22-2000000000000-222-20000000000002-2-22-22-22-22-22-222-22-2000000000000-222-20000000000002-2-22-22-22-22-22-222-22-2000000000000-222-2000000000000
χ412-2-22-2-2222-22-2-2-2222-22-2-220000000000000000000000002-2-22-2-2222-22-2-2-2222-22-2-220000000000000000000000002-2-22-2-2222-22-2-2-2222-22-2-220000000000000000000000002-2-22-2-2222-22-2-2-2222-22-2-22000000000000000000000000
χ422-2-22-2-2222-22-2-2-2222-2-222-20000000000000000000000002-2-22-2-2222-22-2-2-2222-2-222-20000000000000000000000002-2-22-2-2222-22-2-2-2222-2-222-20000000000000000000000002-2-22-2-2222-22-2-2-2222-2-222-2000000000000000000000000
χ432-2-22-2-2222-2-2222-2-2-22000000000000000000002i−2i−2i2i00002-2-22-2-2222-2-2222-2-2-22000000000000000000002i−2i−2i2i00002-2-22-2-2222-2-2222-2-2-22000000000000000000002i−2i−2i2i00002-2-22-2-2222-2-2222-2-2-22000000000000000000002i−2i−2i2i0000
χ442-2-22-2-2222-2-2222-2-2-2200000000000000000000−2i2i2i−2i00002-2-22-2-2222-2-2222-2-2-2200000000000000000000−2i2i2i−2i00002-2-22-2-2222-2-2222-2-2-2200000000000000000000−2i2i2i−2i00002-2-22-2-2222-2-2222-2-2-2200000000000000000000−2i2i2i−2i0000
χ4588-8-800000000000000000000000000000000000000000088-8-800000000000000000000000000000000000000000088-8-800000000000000000000000000000000000000000088-8-8000000000000000000000000000000000000000000
χ468-88-80000000000000000000000000000000000000000008-88-80000000000000000000000000000000000000000008-88-80000000000000000000000000000000000000000008-88-8000000000000000000000000000000000000000000
χ471111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ4811111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111111111
χ491111111111111111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1111111111111111111111111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111111111
χ501111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1
χ51111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-11111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-11111
χ52111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-11111-1-1-1-1111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-11111-1-1-1-1
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χ54111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-11111
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χ1848-88-8000000000000000000000000000000000000000000-88-88000000000000000000000000000000000000000000-88-880000000000000000000000000000000000000000008-88-8000000000000000000000000000000000000000000

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