Finite Group Databasebeta

← Group #72271136

Character table — Group #72271136

Order 1536.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158C159C160C161C162C163C164C165C166C167C168
size11112222222222222222222222222222222222444444444444444444444444444444444444444444444444444444444444444444444444444444888888881616161616161616161616161616161616161616242424242424242424242424242424244848484848484848
order12222222222222344444444666666612121212121212122222222222444444444444666666666666666666666666666612121212121212121212121212121212121212121212121212121212224444444444661212121212121212121212121212222222444444444444444444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1-11111
χ411111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1111111-1-1-1-1
χ51111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1111111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1
χ61111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ71111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111111111-1-11111-1-1-1-1-1-11111-1-11111-1-1-1-1
χ81111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-1111111-1-1-1-111-1-1-1-11111
χ9111111111111111-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-11-11-111-1-11-111-1-11111-1-1-1-11-111-1-11-11-11-111-1-11-111-1-111-1-1
χ10111111111111111-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-11-11-111-1-11-111-1-11111-1-1-1-11-1-1-111-11-11-11-1-111-11-1-111-1-111
χ11111111111111111-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-11-11-1-111-11-1-111-1-1-1-11111-1111-1-1-11-11-1111-1-1-11-1-11111-1-1
χ12111111111111111-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-11-11-1-111-11-1-111-1-1-1-11111-11-1-1111-11-11-1-1-1111-111-1-1-1-111
χ13111111111111111-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111-11-11-11-1-1-1111-111-1-1-1-1-1-111111-111-1-11-11-11-111-1-11-1-1-111-1-111
χ14111111111111111-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111-11-11-11-1-1-1111-111-1-1-1-1-1-111111-1-1-111-11-11-11-1-111-1111-1-111-1-1
χ15111111111111111-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-11-11-11-1111-1-1-11-1-1111111-1-1-1-1-1111-1-1-11-11-1111-1-1-1111-1-1-1-111
χ16111111111111111-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-11-11-11-1111-1-1-11-1-1111111-1-1-1-1-11-1-1111-11-11-1-1-1111-1-1-11111-1-1
χ1711111-1-1-1-11111111111-1-1-1-1111111111111111-1-11111-1-1-1-111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11-1-11-111-11-11-11-11-11-111-1-111-1-1-111-11-111-1-1-1-11-11-1111-11-11-11-1
χ1811111-1-1-1-11111111111-1-1-1-1111111111111111-1-11111-1-1-1-111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11-1-11-111-11-11-11-11-11-111-1-111-1-1-11-11-11-1-11111-11-11-1-1-11-11-11-11
χ1911111-1-1-1-11111111111-1-1-1-1111111111111111-1-11111-1-1-1-111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-111-11-1-11-11-11-11-11-11-1-111-1-1111-11-11-1-1-111111-11-1-1-1-11-111-11-1
χ2011111-1-1-1-11111111111-1-1-1-1111111111111111-1-11111-1-1-1-111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-111-11-1-11-11-11-11-11-11-1-111-1-1111-1-11-1111-1-1-1-1-11-11111-11-1-11-11
χ2111111-1-1-1-11111111111-1-1-1-1111111111111111-1-1-1-1-1-1111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-11-111-1-11-111-11-11-1-1-111-1-111-111-11-111-1-1-1-11-11-111-11-11-11-11
χ2211111-1-1-1-11111111111-1-1-1-1111111111111111-1-1-1-1-1-1111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-11-111-1-11-111-11-11-1-1-111-1-111-11-11-11-1-11111-11-11-1-11-11-11-11-1
χ2311111-1-1-1-11111111111-1-1-1-1111111111111111-1-1-1-1-1-1111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-111-11-1-111-11-1-11-11-1111-1-111-1-11-11-11-1-1-111111-11-1-1-11-11-1-11-11
χ2411111-1-1-1-11111111111-1-1-1-1111111111111111-1-1-1-1-1-1111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-111-11-1-111-11-1-11-11-1111-1-111-1-11-1-11-1111-1-1-1-1-11-1111-11-111-11-1
χ2511111-1-1-1-1111111-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1111-1-11111-1-1111-1-1-1-111-1-11-1-111-1-11-111-1-111-11-1-111-1-11
χ2611111-1-1-1-1111111-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1111-1-11111-1-1111-1-1-1-111-1-1-111-1-111-11-1-111-1-11-111-1-111-1
χ2711111-1-1-1-1111111-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-11111-1-1-111-1-1-1-111-1-1-11111-1-1111-1-11-111-11-11-1-11-11-111-11-1-11
χ2811111-1-1-1-1111111-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-11111-1-1-111-1-1-1-111-1-1-11111-1-111-111-11-1-11-11-111-11-11-1-11-111-1
χ2911111-1-1-1-1111111-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-111-1-1-1-111-111-1111-1-11-1-11111-1-1-1-11-1-111-1-11-111-1-111-1-111-1-111-1
χ3011111-1-1-1-1111111-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-111-1-1-1-111-111-1111-1-11-1-11111-1-1-1-1-111-1-111-11-1-111-1-111-1-111-1-11
χ3111111-1-1-1-1111111-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-11111-1-11-1-11-1-1-111-111-1-1-1-111111-1-11-111-11-11-1-11-111-1-11-111-1
χ3211111-1-1-1-1111111-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-11111-1-11-1-11-1-1-111-111-1-1-1-11111-111-11-1-11-11-111-11-1-111-11-1-11
χ3322222222222222-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222222222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000000000
χ3422222222222222-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222222222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2-2-2-2-21111111111111111000000000000000000000000
χ3522222222222222-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122-2-2-2-2-2-2-2-22222-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111111122222222-2-2-2-2-1-1-1-1-1-111111111-1-1000000000000000000000000
χ3622222222222222-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122-2-2-2-2-2-2-2-22222-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-2-2-2-2-2-2-2-22222111111-1-1-1-1-1-1-1-111000000000000000000000000
χ3722222222222222-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1111111112222222222-2-2-2-2-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111112-22-22-22-222-2-2-11-1-111-1-1-1-11111-11000000000000000000000000
χ3822222222222222-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1111111112222222222-2-2-2-2-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111111111-22-22-22-22-2-2221-111-1-11111-1-1-1-11-1000000000000000000000000
χ3922222222222222-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1-11111111122-2-2-2-2-2-2-2-2-2-2-2-222222222-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12-22-22-22-2-2-222-11-1-1111111-1-1-1-1-11000000000000000000000000
χ4022222222222222-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1-11111111122-2-2-2-2-2-2-2-2-2-2-2-222222222-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-22-22-22-2222-2-21-111-1-1-1-1-1-111111-1000000000000000000000000
χ41222222222-2-2-2-22222-2-222-2-222-2-2-2-222222-2-2-2-2-2-2000000002-22-20000000022-2-22222-2-2-2-2000000000000000022-2-22222-2-2-2-2000000000000000000000000000000000000000000002222000000-2-2-2-20000000000
χ42222222222-2-2-2-22222-2-222-2-222-2-2-2-222222-2-2-2-2-2-2000000002-22-20000000022-2-22222-2-2-2-2000000000000000022-2-22222-2-2-2-200000000000000000000000000000000000000000000-2-2-2-200000022220000000000
χ43222222222-2-2-2-222-2-222-2-22222-2-2-2-22-2-2-2-22222-2-200000000-22-220000000022-2-22222-2-2-2-20000000000000000-2-222-2-2-2-222220000000000000000000000000000000000000000000022-2-2000000-2-2220000000000
χ44222222222-2-2-2-222-2-222-2-22222-2-2-2-22-2-2-2-22222-2-200000000-22-220000000022-2-22222-2-2-2-20000000000000000-2-222-2-2-2-2222200000000000000000000000000000000000000000000-2-22200000022-2-20000000000
χ4522222-2-2-2-222222-12222-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-22222-2-2-2-222-2-22222-2-2-2-2-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-1111111112-2-22-222-22-22-2-11-11-11-1-111-1-1111-1000000000000000000000000
χ4622222-2-2-2-222222-12222-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-22222-2-2-2-222-2-22222-2-2-2-2-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-222-22-2-22-22-221-11-11-111-1-111-1-1-11000000000000000000000000
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χ1484-4-44400004-44-4-4-2000000002-2-222-2223−23−232323−23−232300000000000000−4i4i4i−4i0000-22-22000000002i3−2i3−2i32i3−2i32i32i3−2i30000000023−2323−23000000002i−2i−2i2i2i−2i−2i2i000000000000000000000000000000000000000000000000000000000000
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χ1514-4-4440000-44-44-4400000000-44-444-4-4000000000000000000000000004i−4i−4i4i4-4-44000000000000000000000000000000000000000000004i−4i−4i4i4i−4i−4i4i0000000000000000000000000000000000000000000000000000
χ1524-4-4440000-44-44-4400000000-44-444-4-400000000000000000000000000−4i4i4i−4i4-4-4400000000000000000000000000000000000000000000−4i4i4i−4i−4i4i4i−4i0000000000000000000000000000000000000000000000000000
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χ1634-4-44-40000-444-44400000000-44-444-4-4000000000000004-4-44000000000000-444-400000000000000004-4-444-4-4400000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1644-4-44-40000-444-44400000000-44-444-4-400000000000000-444-4000000000000-444-40000000000000000-444-4-444-400000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1654-4-44-40000-444-44-2000000002-22-2-22223−23−2323−232323−230000004-4-440000000000002-2-220000000000000000-222-2-222-2−232323−230000000000000000−232323−2323−23−23230000000000000000000000000000000000000000000000000000
χ1664-4-44-40000-444-44-2000000002-22-2-22223−23−2323−232323−23000000-444-40000000000002-2-2200000000000000002-2-222-2-22−232323−23000000000000000023−23−2323−232323−230000000000000000000000000000000000000000000000000000
χ1674-4-44-40000-444-44-2000000002-22-2-222−232323−2323−23−23230000004-4-440000000000002-2-220000000000000000-222-2-222-223−23−2323000000000000000023−23−2323−232323−230000000000000000000000000000000000000000000000000000
χ1684-4-44-40000-444-44-2000000002-22-2-222−232323−2323−23−2323000000-444-40000000000002-2-2200000000000000002-2-222-2-2223−23−23230000000000000000−232323−2323−23−23230000000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 12 (ζ12 = 1); i = ζ3.