Finite Group Databasebeta

← Group #11784065

Character table — Group #11784065

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158C159C160C161C162C163C164C165C166C167C168
size11111111222222222222222222222222222222222222222222224444444444444444444444444444444444444444444444444444444488888888888888888888888888888888999999991818181818181818181818183636363636363636
order1222444422333344666666666666888888881212121212121212121212121212121266666666888888881212121212121212242424242424242424242424242424242424242424242424242424242424242424242424242424242424242424242424242424242424242424242424242424248888888844444444888822444444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1
χ4111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ51111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-11111-1-1
χ61111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-1-111
χ71111111111111111111111111111-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-111
χ81111111111111111111111111111-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-11111-1-1
χ91111-1-1-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1ii−i−iii−i−i111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iii−i−i1111-1-1-1-1
χ101111-1-1-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1ii−i−iii−i−i111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−iiiii−i−i−i−iiiii−i−iii-1-1-1-11111
χ111111-1-1-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−i−iii−i−iii111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiiiiiiiiiii−i−i−i−iiiii−i−i−i−iii−i−i-1-1-1-11111
χ121111-1-1-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−i−iii−i−iii111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−iiiii−i−i−i−iiiii−i−iii1111-1-1-1-1
χ131111-1-1-1-1-1-1111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1ii−i−i−i−iii11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111iiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiii−i−i−i−i−i−i−i−iiiiiii−i−i-1-111-1-111
χ141111-1-1-1-1-1-1111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1ii−i−i−i−iii11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111iiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−iiiiiiiii−i−i−i−i−i−iii11-1-111-1-1
χ151111-1-1-1-1-1-1111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−i−iiiii−i−i11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiii−i−i−i−i−i−i−i−iiiii−i−i−i−i−i−i−i−iiiiiii−i−i11-1-111-1-1
χ161111-1-1-1-1-1-1111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−i−iiiii−i−i11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−iii-1-111-1-111
χ171-1-1111-1-1-1111111-1-1-1-1-1-1-1-1-11111ii−i−iii−i−i11111111-1-1-1-1-1-1-1-11111-1-1-1-11-11-1i−ii−i1111-1-1-1-1iiiiiiii−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−iii−i−iii−i−i11-1-111-1-1i−ii−i1-1i−ii−i1-1
χ181-1-1111-1-1-1111111-1-1-1-1-1-1-1-1-11111ii−i−iii−i−i11111111-1-1-1-1-1-1-1-11111-1-1-1-11-11-1i−ii−i1111-1-1-1-1iiiiiiii−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−i−i−iii−i−iii-1-111-1-111−ii−ii-11−ii−ii-11
χ191-1-1111-1-1-1111111-1-1-1-1-1-1-1-1-11111ii−i−iii−i−i11111111-1-1-1-1-1-1-1-11111-1-1-1-1-11-11−ii−ii1111-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−i-1-1-1-11111-1-1-1-11111−i−i−i−iiiii−i−i−i−iiiiiii−i−iii−i−i11-1-111-1-1i−ii−i-11−ii−ii-11
χ201-1-1111-1-1-1111111-1-1-1-1-1-1-1-1-11111ii−i−iii−i−i11111111-1-1-1-1-1-1-1-11111-1-1-1-1-11-11−ii−ii1111-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−i-1-1-1-11111-1-1-1-11111−i−i−i−iiiii−i−i−i−iiiii−i−iii−i−iii-1-111-1-111−ii−ii1-1i−ii−i1-1
χ211-1-1111-1-1-1111111-1-1-1-1-1-1-1-1-11111−i−iii−i−iii11111111-1-1-1-1-1-1-1-11111-1-1-1-11-11-1−ii−ii1111-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiiiiiii1111-1-1-1-11111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiiiii−i−iii−i−i-1-111-1-111i−ii−i-11i−ii−i-11
χ221-1-1111-1-1-1111111-1-1-1-1-1-1-1-1-11111−i−iii−i−iii11111111-1-1-1-1-1-1-1-11111-1-1-1-11-11-1−ii−ii1111-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiiiiiii1111-1-1-1-11111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii−i−iii−i−iii11-1-111-1-1−ii−ii1-1−ii−ii1-1
χ231-1-1111-1-1-1111111-1-1-1-1-1-1-1-1-11111−i−iii−i−iii11111111-1-1-1-1-1-1-1-11111-1-1-1-1-11-11i−ii−i1111-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiiiiiii-1-1-1-11111-1-1-1-11111iiii−i−i−i−iiiii−i−i−i−iii−i−iii−i−i-1-111-1-111i−ii−i1-1−ii−ii1-1
χ241-1-1111-1-1-1111111-1-1-1-1-1-1-1-1-11111−i−iii−i−iii11111111-1-1-1-1-1-1-1-11111-1-1-1-1-11-11i−ii−i1111-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiiiiiii-1-1-1-11111-1-1-1-11111iiii−i−i−i−iiiii−i−i−i−i−i−iii−i−iii11-1-111-1-1−ii−ii-11i−ii−i-11
χ251-1-11-1-1111-111111-1-1-1-1-1-1-1-1-11111ii−i−i−i−iii-1-1-1-1-1-1-1-111111111-1-1-1-11111i−i−ii-111-11111-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiii−i−i−i−i−i−i−i−iiiii-1-1-1-111111111-1-1-1-111-1-1-1-111−i−iiiii−i−i1-1-11-11−iii−i1-1
χ261-1-11-1-1111-111111-1-1-1-1-1-1-1-1-11111ii−i−i−i−iii-1-1-1-1-1-1-1-111111111-1-1-1-11111i−i−ii-111-11111-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiii−i−i−i−i−i−i−i−iiiii-1-1-1-111111111-1-1-1-1-1-11111-1-1ii−i−i−i−iii-111-11-1i−i−ii-11
χ271-1-11-1-1111-111111-1-1-1-1-1-1-1-1-11111ii−i−i−i−iii-1-1-1-1-1-1-1-111111111-1-1-1-11111−iii−i1-1-111111-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−iiiiiiiii−i−i−i−i1111-1-1-1-1-1-1-1-1111111-1-1-1-111−i−iiiii−i−i1-1-111-1i−i−ii-11
χ281-1-11-1-1111-111111-1-1-1-1-1-1-1-1-11111ii−i−i−i−iii-1-1-1-1-1-1-1-111111111-1-1-1-11111−iii−i1-1-111111-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−iiiiiiiii−i−i−i−i1111-1-1-1-1-1-1-1-11111-1-11111-1-1ii−i−i−i−iii-111-1-11−iii−i1-1
χ291-1-11-1-1111-111111-1-1-1-1-1-1-1-1-11111−i−iiiii−i−i-1-1-1-1-1-1-1-111111111-1-1-1-11111i−i−ii1-1-111111-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiii−i−i−i−i−i−i−i−iiiii−i−i−i−i−i−i−i−iiiii1111-1-1-1-1-1-1-1-1111111-1-1-1-111ii−i−i−i−iii1-1-111-1−iii−i-11
χ301-1-11-1-1111-111111-1-1-1-1-1-1-1-1-11111−i−iiiii−i−i-1-1-1-1-1-1-1-111111111-1-1-1-11111i−i−ii1-1-111111-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiii−i−i−i−i−i−i−i−iiiii−i−i−i−i−i−i−i−iiiii1111-1-1-1-1-1-1-1-11111-1-11111-1-1−i−iiiii−i−i-111-1-11i−i−ii1-1
χ311-1-11-1-1111-111111-1-1-1-1-1-1-1-1-11111−i−iiiii−i−i-1-1-1-1-1-1-1-111111111-1-1-1-11111−iii−i-111-11111-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i-1-1-1-111111111-1-1-1-111-1-1-1-111ii−i−i−i−iii1-1-11-11i−i−ii1-1
χ321-1-11-1-1111-111111-1-1-1-1-1-1-1-1-11111−i−iiiii−i−i-1-1-1-1-1-1-1-111111111-1-1-1-11111−iii−i-111-11111-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i-1-1-1-111111111-1-1-1-1-1-11111-1-1−i−iiiii−i−i-111-11-1−iii−i-11
χ3322222222222-1-1-12222-1-1-1-1-1-12-1-1-12222222222-1-1-1-1-1-122-1-1-1-1-1-12-1-1-12-1-1-1222222222-1-1-12-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-12-1-1-12-1-1-12-1-1-12-1-1-12-1-1-12-1-1-12-1-1-12-1-1-10000000000000000000000000000
χ3422222222222-1-1-12222-1-1-1-1-1-12-1-1-12222222222-1-1-1-1-1-122-1-1-1-1-1-12-1-1-12-1-1-1-2-2-2-2-2-2-2-22-1-1-12-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-1-2111-2111-2111-2111-2111-2111-2111-21110000000000000000000000000000
χ3522222222222-1-1-12222-1-1-1-1-1-12-1-1-1-2-2-2-2-2-2-2-222-1-1-1-1-1-122-1-1-1-1-1-12-1-1-12-1-1-12222-2-2-2-22-1-1-12-1-1-1-2-2111111-2-2111111-2-2111111-2-21111112-1-1-12-1-1-12-1-1-12-1-1-1-2111-2111-2111-21110000000000000000000000000000
χ3622222222222-1-1-12222-1-1-1-1-1-12-1-1-1-2-2-2-2-2-2-2-222-1-1-1-1-1-122-1-1-1-1-1-12-1-1-12-1-1-1-2-2-2-222222-1-1-12-1-1-1-2-2111111-2-2111111-2-2111111-2-2111111-2111-2111-2111-21112-1-1-12-1-1-12-1-1-12-1-1-10000000000000000000000000000
χ372222222222-12-1-122-1-122-1-1-1-1-12-1-122222222-1-122-1-1-1-1-1-122-1-1-1-1-12-1-1-12-1-122222222-12-1-1-12-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-12-1-1-12-1-1-12-1-1-12-1-1-12-1-1-12-1-1-12-1-1-12-1-10000000000000000000000000000
χ382222222222-12-1-122-1-122-1-1-1-1-12-1-122222222-1-122-1-1-1-1-1-122-1-1-1-1-12-1-1-12-1-1-2-2-2-2-2-2-2-2-12-1-1-12-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-11-2111-2111-2111-2111-2111-2111-2111-2110000000000000000000000000000
χ392222222222-12-1-122-1-122-1-1-1-1-12-1-1-2-2-2-2-2-2-2-2-1-122-1-1-1-1-1-122-1-1-1-1-12-1-1-12-1-12222-2-2-2-2-12-1-1-12-1-111-2-2111111-2-2111111-2-2111111-2-21111-12-1-1-12-1-1-12-1-1-12-1-11-2111-2111-2111-2110000000000000000000000000000
χ402222222222-12-1-122-1-122-1-1-1-1-12-1-1-2-2-2-2-2-2-2-2-1-122-1-1-1-1-1-122-1-1-1-1-12-1-1-12-1-1-2-2-2-22222-12-1-1-12-1-111-2-2111111-2-2111111-2-2111111-2-211111-2111-2111-2111-211-12-1-1-12-1-1-12-1-1-12-1-10000000000000000000000000000
χ412222222222-1-12-122-1-1-1-122-1-1-1-12-122222222-1-1-1-122-1-1-1-1-1-122-1-1-1-12-1-1-12-122222222-1-12-1-1-12-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-12-1-1-12-1-1-12-1-1-12-1-1-12-1-1-12-1-1-12-1-1-12-10000000000000000000000000000
χ422222222222-1-12-122-1-1-1-122-1-1-1-12-122222222-1-1-1-122-1-1-1-1-1-122-1-1-1-12-1-1-12-1-2-2-2-2-2-2-2-2-1-12-1-1-12-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-111-2111-2111-2111-2111-2111-2111-2111-210000000000000000000000000000
χ432222222222-1-12-122-1-1-1-122-1-1-1-12-1-2-2-2-2-2-2-2-2-1-1-1-122-1-1-1-1-1-122-1-1-1-12-1-1-12-12222-2-2-2-2-1-12-1-1-12-11111-2-2111111-2-2111111-2-2111111-2-211-1-12-1-1-12-1-1-12-1-1-12-111-2111-2111-2111-210000000000000000000000000000
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χ1644-4-4444-4-44-4-2-2-24-44222222-4-4-2-2-2400000000-2-2-2-2-2-244222222-4-4222-4-2-2-2400000000222-4-2-2-2400000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1654-4-44-4-444-444-2-2-2-44-4-42222224-2-2-200000000-4-422222244-2-2-2-2-2-24-2-2-2-422200000000-42224-2-2-200000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1664-4-44-4-444-44-24-2-2-4422-4-42222-24-2-20000000022-4-42222-2-244-2-2-2-2-24-2-22-422000000002-422-24-2-200000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1674-4-44-4-444-44-2-24-2-442222-4-422-2-24-2000000002222-4-422-2-2-2-244-2-2-2-24-222-420000000022-42-2-24-200000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1684-4-44-4-444-44-2-2-24-44222222-4-4-2-2-2400000000222222-4-4-2-2-2-2-2-244-2-2-24222-400000000222-4-2-2-2400000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 8 (ζ8 = 1); i = ζ2.