Finite Group Databasebeta

← Group #72239283

Character table — Group #72239283

Order 2048.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158C159C160C161C162C163C164
size1111111122222222222222222222222222224444444444444444444444444444444488888888888888888888888888888888888888881616161616161616161616161616161632323232323232323232323232323232323232323232323232323232323232323232323232323232
order12222222444444444444444444444444444422222244444444444444444444444444444444444444444444444444444444444444444488888888888888882444444488888888888888888888888888888888
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ4111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111
χ51111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1
χ61111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111
χ71111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ81111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1
χ91111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1111111111111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1iiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−i1111-1-1-1-11111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i1111-1-1-1-1
χ101111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1111111111111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1iiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−i-1-1-1-111111111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii-1-1-1-11111
χ111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1111111111111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1iiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiii1111-1-1-1-1-1-1-1-11111iiii−i−i−i−i−i−i−i−iiiii-1-1-1-11111
χ121111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1111111111111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1iiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiii-1-1-1-11111-1-1-1-11111−i−i−i−iiiiiiiii−i−i−i−i1111-1-1-1-1
χ131111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1111111111111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i1111-1-1-1-1-1-1-1-11111−i−i−i−iiiiiiiii−i−i−i−i-1-1-1-11111
χ141111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1111111111111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i-1-1-1-11111-1-1-1-11111iiii−i−i−i−i−i−i−i−iiiii1111-1-1-1-1
χ151111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1111111111111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiii−i−i−i−i−i−i−i−iiiiiiiii1111-1-1-1-11111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii1111-1-1-1-1
χ161111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1111111111111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiii−i−i−i−i−i−i−i−iiiiiiiii-1-1-1-111111111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i-1-1-1-11111
χ1711111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-11111-1-1-1-1-1-111-1-111-1-111-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i11-1-111-1-1ii−i−iii−i−i11-1-111-1-1ii−i−iii−i−iii−i−iii−i−i
χ1811111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-11111-1-1-1-1-1-111-1-111-1-111-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i-1-111-1-111ii−i−iii−i−i-1-111-1-111−i−iii−i−iii−i−iii−i−iii
χ1911111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-11111-1-1-1-1-1-111-1-111-1-111-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii11-1-111-1-1−i−iii−i−iii11-1-111-1-1−i−iii−i−iii−i−iii−i−iii
χ2011111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-11111-1-1-1-1-1-111-1-111-1-111-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii-1-111-1-111−i−iii−i−iii-1-111-1-111ii−i−iii−i−iii−i−iii−i−i
χ2111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-11111-1-1-1-1-1-111-1-111-1-111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111iiii−i−i−i−iiiii−i−i−i−i11-1-111-1-1−i−iii−i−iii-1-111-1-111ii−i−iii−i−i−i−iii−i−iii
χ2211111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-11111-1-1-1-1-1-111-1-111-1-111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111iiii−i−i−i−iiiii−i−i−i−i-1-111-1-111−i−iii−i−iii11-1-111-1-1−i−iii−i−iiiii−i−iii−i−i
χ2311111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-11111-1-1-1-1-1-111-1-111-1-111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111−i−i−i−iiiii−i−i−i−iiiii11-1-111-1-1ii−i−iii−i−i-1-111-1-111−i−iii−i−iiiii−i−iii−i−i
χ2411111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-11111-1-1-1-1-1-111-1-111-1-111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111−i−i−i−iiiii−i−i−i−iiiii-1-111-1-111ii−i−iii−i−i11-1-111-1-1ii−i−iii−i−i−i−iii−i−iii
χ2511111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-111-1-11111111111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111iiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiii1111-1-1-1-1-1-1-1-1111111-1-1-1-111−i−iiiii−i−iii−i−i−i−iii11-1-1-1-111−i−iiiii−i−i
χ2611111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-111-1-11111111111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111iiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiii1111-1-1-1-1-1-1-1-11111-1-11111-1-1−i−iiiii−i−i−i−iiiii−i−i-1-11111-1-1ii−i−i−i−iii
χ2711111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-111-1-11111111111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111iiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiii-1-1-1-111111111-1-1-1-111-1-1-1-111ii−i−i−i−iiiii−i−i−i−iii-1-11111-1-1ii−i−i−i−iii
χ2811111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-111-1-11111111111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111iiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiii-1-1-1-111111111-1-1-1-1-1-11111-1-1ii−i−i−i−iii−i−iiiii−i−i11-1-1-1-111−i−iiiii−i−i
χ2911111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-111-1-11111111111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i1111-1-1-1-1-1-1-1-1111111-1-1-1-111ii−i−i−i−iii−i−iiiii−i−i11-1-1-1-111ii−i−i−i−iii
χ3011111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-111-1-11111111111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i1111-1-1-1-1-1-1-1-11111-1-11111-1-1ii−i−i−i−iiiii−i−i−i−iii-1-11111-1-1−i−iiiii−i−i
χ3111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-111-1-11111111111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i-1-1-1-111111111-1-1-1-111-1-1-1-111−i−iiiii−i−i−i−iiiii−i−i-1-11111-1-1−i−iiiii−i−i
χ3211111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-111-1-11111111111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i-1-1-1-111111111-1-1-1-1-1-11111-1-1−i−iiiii−i−iii−i−i−i−iii11-1-1-1-111ii−i−i−i−iii
χ33222222222222222222222222-2-2-2-2-2-2-2-22222-2-222-2-22222-2-2-2-2-2-222-2-2-2-222-2-22222222-2-2-22-2-2-20000000000000000000000000000000022-2-222-2-222-2-222-2-20000000000000000000000000000000000000000
χ34222222222222222222222222-2-2-2-2-2-2-2-22222-2-222-2-22222-2-2-2-2-2-222-2-2-2-222-2-22222222-2-2-22-2-2-200000000000000000000000000000000-2-222-2-222-2-222-2-2220000000000000000000000000000000000000000
χ3522222222222222222222-2-2-2-2222222222222-2-2-2-22222-2-22222-2-2-2-222-2-222-2-2-2-222-2-2-2-22-2-2-22-22222-2-2-2-22222-2-2-2-22222-2-2-2-22222-2-2-2-200000000000000000000000000000000000000000000000000000000
χ3622222222222222222222-2-2-2-2222222222222-2-2-2-22222-2-22222-2-2-2-222-2-222-2-2-2-222-2-2-2-22-2-2-22-2-2-2-2-22222-2-2-2-22222-2-2-2-22222-2-2-2-2222200000000000000000000000000000000000000000000000000000000
χ3722222222222222222222-2-2-2-2-2-2-2-2-2-2-2-2222222-2-2-2-222-2-2-2-2-2-222-2-2-2-2222222-2-222-2-2-22-22-22-22000000000000000000000000000000000000000000000000000000002i−2i2i−2i2i−2i2i−2i000000000000000000000000
χ3822222222222222222222-2-2-2-2-2-2-2-2-2-2-2-2222222-2-2-2-222-2-2-2-2-2-222-2-2-2-2222222-2-222-2-2-22-22-22-2200000000000000000000000000000000000000000000000000000000−2i2i−2i2i−2i2i−2i2i000000000000000000000000
χ392222222222222222-2-2-2-222222222-2-2-2-2-2-2-2-222222222-2-2-2-2-2-222-2-222-2-2-2-2-2-2-2-2-2-222-22-222-22-2000000000000000000000000000000000000000000000000000000002i−2i2i−2i−2i2i−2i2i000000000000000000000000
χ402222222222222222-2-2-2-222222222-2-2-2-2-2-2-2-222222222-2-2-2-2-2-222-2-222-2-2-2-2-2-2-2-2-2-222-22-222-22-200000000000000000000000000000000000000000000000000000000−2i2i−2i2i2i−2i2i−2i000000000000000000000000
χ412222222222222222-2-2-2-22222-2-2-2-22222-2-2-2-2-2-222-2-222-2-22222-2-2-2-2-2-222-2-222-2-2-2-222-2-22-222-222i2i2i2i−2i−2i−2i−2i2i2i2i2i−2i−2i−2i−2i−2i−2i−2i−2i2i2i2i2i−2i−2i−2i−2i2i2i2i2i00000000000000000000000000000000000000000000000000000000
χ422222222222222222-2-2-2-22222-2-2-2-22222-2-2-2-2-2-222-2-222-2-22222-2-2-2-2-2-222-2-222-2-2-2-222-2-22-222-22−2i−2i−2i−2i2i2i2i2i−2i−2i−2i−2i2i2i2i2i2i2i2i2i−2i−2i−2i−2i2i2i2i2i−2i−2i−2i−2i00000000000000000000000000000000000000000000000000000000
χ432222222222222222-2-2-2-2-2-2-2-22222-2-2-2-2-2-2-2-2-2-2-2-2222222-2-2-2-2-2-2222222-2-22222-2-2-2-22-2-2-2-2222000000000000000000000000000000002i2i−2i−2i2i2i−2i−2i−2i−2i2i2i−2i−2i2i2i0000000000000000000000000000000000000000
χ442222222222222222-2-2-2-2-2-2-2-22222-2-2-2-2-2-2-2-2-2-2-2-2222222-2-2-2-2-2-2222222-2-22222-2-2-2-22-2-2-2-222200000000000000000000000000000000−2i−2i2i2i−2i−2i2i2i2i2i−2i−2i2i2i−2i−2i0000000000000000000000000000000000000000
χ45222222222222-2-2-2-22222222222222222222222-2-2-2-2-2-22222-2-2-2-2-2-222-2-2-2-22222-2-222-22-2-2-22-2-20000000000000000000000000000000000000000000000002-22-22-22-200000000000000000000000000000000
χ46222222222222-2-2-2-22222222222222222222222-2-2-2-2-2-22222-2-2-2-2-2-222-2-2-2-22222-2-222-22-2-2-22-2-2000000000000000000000000000000000000000000000000-22-22-22-2200000000000000000000000000000000
χ47222222222222-2-2-2-222222222-2-2-2-2-2-2-2-22222-2-2-2-222-2-222-2-22222-2-2-2-222-2-2-2-222-2-222-2-222-2-2220000000000000000000000000000000000000000000000000000000000000000000000002-22-22-22-200000000
χ48222222222222-2-2-2-222222222-2-2-2-2-2-2-2-22222-2-2-2-222-2-222-2-22222-2-2-2-222-2-2-2-222-2-222-2-222-2-222000000000000000000000000000000000000000000000000000000000000000000000000-22-22-22-2200000000
χ49222222222222-2-2-2-22222-2-2-2-2222222222222-2-222-2-2-2-2-2-222-2-222222222-2-2-2-2-2-2-2-2-2-22-2-222-2-2200000000000000000000000000000000000000000000000000000000000000002i−2i2i−2i2i−2i2i−2i0000000000000000
χ50222222222222-2-2-2-22222-2-2-2-2222222222222-2-222-2-2-2-2-2-222-2-222222222-2-2-2-2-2-2-2-2-2-22-2-222-2-220000000000000000000000000000000000000000000000000000000000000000−2i2i−2i2i−2i2i−2i2i0000000000000000
χ51222222222222-2-2-2-22222-2-2-2-2-2-2-2-2-2-2-2-22222222222-2-2-2-2-2-222-2-222-2-2-2-2-2-222-2-2-2-2-2-2222-2222-2000000000000000000000000000000000000000000000000000000000000000000000000000000002i−2i2i−2i2i−2i2i−2i
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Here i is the imaginary unit (i² = −1).