Finite Group Databasebeta

← Group #13155286

Character table — Group #13155286

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158C159C160C161C162C163C164C165C166C167C168
size11111111222222222222222222222222444444444444444444444444666666666666666666666666666688888888999999991212121212121212121212121212121212121212121212121212121212121212121212121212121218181818181818181818181818181818363636363636363654545454
order1222444433366666666612121212121212121212121233366666666612121212121212121212121244448888888824242424242424242424242424242424366612121212444444441212121212121212121212121212121224242424242424242424242424242424242424242424242488888888121212121212121224242424242424242244
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1
χ4111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111
χ511111111111111111111111111111111111111111111111111111111-1-1-1-11111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ611111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111
χ711111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111
χ811111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1
χ91111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1ii−i−iii−i−iiiii−i−i−i−iiiii−i−i−i−i1111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1ii−i−iii−i−iiiii−i−i−i−iiiii−i−i−i−iii−i−iii−i−i1111-1-1-1-1ii−i−iii−i−i11-1-1
χ101111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1ii−i−i−i−iiiiiii−i−i−i−i−i−i−i−iiiii1111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1ii−i−i−i−iiiiiii−i−i−i−i−i−i−i−iiiiiii−i−i−i−iii-1-1-1-11111ii−i−i−i−iii-1-111
χ111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1−i−iiiii−i−i−i−i−i−iiiiiiiii−i−i−i−i1111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1−i−iiiii−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−iiiii−i−i-1-1-1-11111−i−iiiii−i−i-1-111
χ121111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1−i−iii−i−iii−i−i−i−iiiii−i−i−i−iiiii1111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1−i−iii−i−iii−i−i−i−iiiii−i−i−i−iiiii−i−iii−i−iii1111-1-1-1-1−i−iii−i−iii11-1-1
χ131111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111ii−i−iii−i−iiiii−i−i−i−iiiii−i−i−i−i1111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111ii−i−iii−i−iiiii−i−i−i−iiiii−i−i−i−i−i−iii−i−iii1111-1-1-1-1−i−iii−i−iii-1-111
χ141111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111ii−i−i−i−iiiiiii−i−i−i−i−i−i−i−iiiii1111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111ii−i−i−i−iiiiiii−i−i−i−i−i−i−i−iiiii−i−iiiii−i−i-1-1-1-11111−i−iiiii−i−i11-1-1
χ151111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111−i−iiiii−i−i−i−i−i−iiiiiiiii−i−i−i−i1111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111−i−iiiii−i−i−i−i−i−iiiiiiiii−i−i−i−iii−i−i−i−iii-1-1-1-11111ii−i−i−i−iii11-1-1
χ161111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111−i−iii−i−iii−i−i−i−iiiii−i−i−i−iiiii1111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111−i−iii−i−iii−i−i−i−iiiii−i−i−i−iiiiiii−i−iii−i−i1111-1-1-1-1ii−i−iii−i−i-1-111
χ171-1-1111-1-1111111-1-1-1-1-1-11111-1-1-1-111-1-1111-1-1-1-1111-1-11111-1-1-1-111-1-1i−ii−i1-11-1i−ii−i11-1-111-1-1ii−i−iii−i−i1-1-1111-1-1ii−i−iii−i−iii−i−iii−i−iii−i−iii−i−i1-11-1i−ii−i11-1-111-1-1ii−i−iii−i−ii−ii−i1-11-1ii−i−iii−i−ii−ii−i1-11-11-11-1
χ181-1-1111-1-1111111-1-1-1-1-1-11111-1-1-1-111-1-1111-1-1-1-1111-1-11111-1-1-1-111-1-1i−ii−i1-11-1−ii−ii11-1-111-1-1−i−iii−i−iii1-1-1111-1-1−i−iii−i−iiiii−i−iii−i−iii−i−iii−i−i1-11-1−ii−ii11-1-111-1-1−i−iii−i−iiii−ii−i-11-11−i−iii−i−iiii−ii−i-11-11-11-11
χ191-1-1111-1-1111111-1-1-1-1-1-11111-1-1-1-111-1-1111-1-1-1-1111-1-11111-1-1-1-111-1-1i−ii−i-11-11i−ii−i-1-111-1-111ii−i−iii−i−i1-1-1111-1-1−i−iii−i−iiiii−i−iii−i−iii−i−iii−i−i-11-11i−ii−i-1-111-1-111ii−i−iii−i−i−ii−ii1-11-1−i−iii−i−iii−ii−ii1-11-1-11-11
χ201-1-1111-1-1111111-1-1-1-1-1-11111-1-1-1-111-1-1111-1-1-1-1111-1-11111-1-1-1-111-1-1i−ii−i-11-11−ii−ii-1-111-1-111−i−iii−i−iii1-1-1111-1-1ii−i−iii−i−iii−i−iii−i−iii−i−iii−i−i-11-11−ii−ii-1-111-1-111−i−iii−i−iii−ii−ii-11-11ii−i−iii−i−i−ii−ii-11-111-11-1
χ211-1-1111-1-1111111-1-1-1-1-1-11111-1-1-1-111-1-1111-1-1-1-1111-1-11111-1-1-1-111-1-1−ii−ii1-11-1i−ii−i11-1-111-1-1ii−i−iii−i−i1-1-1111-1-1ii−i−iii−i−i−i−iii−i−iii−i−iii−i−iii1-11-1i−ii−i11-1-111-1-1ii−i−iii−i−i−ii−ii-11-11ii−i−iii−i−i−ii−ii-11-11-11-11
χ221-1-1111-1-1111111-1-1-1-1-1-11111-1-1-1-111-1-1111-1-1-1-1111-1-11111-1-1-1-111-1-1−ii−ii1-11-1−ii−ii11-1-111-1-1−i−iii−i−iii1-1-1111-1-1−i−iii−i−iii−i−iii−i−iii−i−iii−i−iii1-11-1−ii−ii11-1-111-1-1−i−iii−i−iii−ii−ii1-11-1−i−iii−i−iii−ii−ii1-11-11-11-1
χ231-1-1111-1-1111111-1-1-1-1-1-11111-1-1-1-111-1-1111-1-1-1-1111-1-11111-1-1-1-111-1-1−ii−ii-11-11i−ii−i-1-111-1-111ii−i−iii−i−i1-1-1111-1-1−i−iii−i−iii−i−iii−i−iii−i−iii−i−iii-11-11i−ii−i-1-111-1-111ii−i−iii−i−ii−ii−i-11-11−i−iii−i−iiii−ii−i-11-111-11-1
χ241-1-1111-1-1111111-1-1-1-1-1-11111-1-1-1-111-1-1111-1-1-1-1111-1-11111-1-1-1-111-1-1−ii−ii-11-11−ii−ii-1-111-1-111−i−iii−i−iii1-1-1111-1-1ii−i−iii−i−i−i−iii−i−iii−i−iii−i−iii-11-11−ii−ii-1-111-1-111−i−iii−i−iiii−ii−i1-11-1ii−i−iii−i−ii−ii−i1-11-1-11-11
χ251-1-11-1-111111111-1-1-1-1-1-1-1-1-1-11111-1-111111-1-1-1-1111-1-1-1-1-1-11111-1-111i−i−iii−i−ii1-1-11ii−i−i−i−iii11-1-1-1-1111-1-11-1-111−i−iiiii−i−iii−i−i−i−iiiii−i−i−i−iiii−i−ii1-1-11ii−i−i−i−iii11-1-1-1-111-111-1−iii−i−i−iiiii−i−i-111-1−iii−i-111-1
χ261-1-11-1-111111111-1-1-1-1-1-1-1-1-1-11111-1-111111-1-1-1-1111-1-1-1-1-1-11111-1-111i−i−iii−i−ii-111-1ii−i−i−i−iii-1-11111-1-11-1-11-1-111ii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iiii−i−ii-111-1ii−i−i−i−iii-1-11111-1-1-111-1i−i−iiii−i−i−i−iii-111-1i−i−ii1-1-11
χ271-1-11-1-111111111-1-1-1-1-1-1-1-1-1-11111-1-111111-1-1-1-1111-1-1-1-1-1-11111-1-111i−i−ii−iii−i1-1-11−i−iiiii−i−i11-1-1-1-1111-1-11-1-111ii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iii−iii−i1-1-11−i−iiiii−i−i11-1-1-1-1111-1-11−iii−iii−i−i−i−iii1-1-11−iii−i1-1-11
χ281-1-11-1-111111111-1-1-1-1-1-1-1-1-1-11111-1-111111-1-1-1-1111-1-1-1-1-1-11111-1-111i−i−ii−iii−i-111-1−i−iiiii−i−i-1-11111-1-11-1-11-1-111−i−iiiii−i−iii−i−i−i−iiiii−i−i−i−iii−iii−i-111-1−i−iiiii−i−i-1-11111-1-11-1-11i−i−ii−i−iiiii−i−i1-1-11i−i−ii-111-1
χ291-1-11-1-111111111-1-1-1-1-1-1-1-1-1-11111-1-111111-1-1-1-1111-1-1-1-1-1-11111-1-111−iii−ii−i−ii1-1-11ii−i−i−i−iii11-1-1-1-1111-1-11-1-111−i−iiiii−i−i−i−iiiii−i−i−i−iiiii−i−ii−i−ii1-1-11ii−i−i−i−iii11-1-1-1-1111-1-11i−i−ii−i−iiiii−i−i1-1-11i−i−ii1-1-11
χ301-1-11-1-111111111-1-1-1-1-1-1-1-1-1-11111-1-111111-1-1-1-1111-1-1-1-1-1-11111-1-111−iii−ii−i−ii-111-1ii−i−i−i−iii-1-11111-1-11-1-11-1-111ii−i−i−i−iii−i−iiiii−i−i−i−iiiii−i−ii−i−ii-111-1ii−i−i−i−iii-1-11111-1-11-1-11−iii−iii−i−i−i−iii1-1-11−iii−i-111-1
χ311-1-11-1-111111111-1-1-1-1-1-1-1-1-1-11111-1-111111-1-1-1-1111-1-1-1-1-1-11111-1-111−iii−i−iii−i1-1-11−i−iiiii−i−i11-1-1-1-1111-1-11-1-111ii−i−i−i−iii−i−iiiii−i−i−i−iiiii−i−i−iii−i1-1-11−i−iiiii−i−i11-1-1-1-111-111-1i−i−iiii−i−i−i−iii-111-1i−i−ii-111-1
χ321-1-11-1-111111111-1-1-1-1-1-1-1-1-1-11111-1-111111-1-1-1-1111-1-1-1-1-1-11111-1-111−iii−i−iii−i-111-1−i−iiiii−i−i-1-11111-1-11-1-11-1-111−i−iiiii−i−i−i−iiiii−i−i−i−iiiii−i−i−iii−i-111-1−i−iiiii−i−i-1-11111-1-1-111-1−iii−i−i−iiiii−i−i-111-1−iii−i1-1-11
χ332222222222-122-12222-1-122-1-122-1-122222-1-1-1-1-1-12-1-12222-1-122-1-1-1-1-1-1000022222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222000000000000000022222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000-1-1-1-1-1-1-1-1000000000000
χ342222222222-122-12222-1-122-1-122-1-122222-1-1-1-1-1-12-1-12222-1-122-1-1-1-1-1-100002222-2-2-2-2-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-200000000000000002222-2-2-2-2-1-1-1-1-1-1-1-1111111110000000011111111000000000000
χ352222222222-122-12222-1-122-1-122-1-122222-1-1-1-1-1-12-1-12222-1-122-1-1-1-1-1-10000-2-2-2-2222211111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-20000000000000000-2-2-2-2222211111111-1-1-1-1-1-1-1-10000000011111111000000000000
χ362222222222-122-12222-1-122-1-122-1-122222-1-1-1-1-1-12-1-12222-1-122-1-1-1-1-1-10000-2-2-2-2-2-2-2-21111111111111111-1-1-1-1-1-1-1-1222222220000000000000000-2-2-2-2-2-2-2-2111111111111111100000000-1-1-1-1-1-1-1-1000000000000
χ37222222222-122-1222-1-1222222-1-122-1-122-12-122-1-1-12-1-1-1-1-1-1-1-1-12222-1-12222000022220000000022222222-1-1-1-1-1-1-1-1000000002-12-12-12-1-1-1-1-1-1-1-1-10000-1-1-1-100000000-1-1-1-1-1-1-1-100002222000000000000-1-1-1-10000
χ38222222222-122-1222-1-1222222-1-122-1-122-12-122-1-1-12-1-1-1-1-1-1-1-1-12222-1-122220000-2-2-2-200000000-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1000000002-12-12-12-1-1-1-1-1-1-1-1-10000111100000000111111110000-2-2-2-200000000000011110000
χ39222222222-122-1222-1-1222222-1-122-1-122-12-122-1-1-12-1-1-1-1-1-1-1-1-12222-1-1-2-2-2-2000022220000000022222222-1-1-1-1-1-1-1-100000000-21-21-21-21111111110000-1-1-1-100000000-1-1-1-1-1-1-1-10000-2-2-2-200000000000011110000
χ40222222222-122-1222-1-1222222-1-122-1-122-12-122-1-1-12-1-1-1-1-1-1-1-1-12222-1-1-2-2-2-20000-2-2-2-200000000-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-100000000-21-21-21-211111111100001111000000001111111100002222000000000000-1-1-1-10000
χ4122222222-122-122-1-12222-1-122222222-1-1-1-12-1-122-1-12-1-1-1-122-1-1-1-1-1-1222222222200002222222200000000-1-1-1-1-1-1-1-100000000-12-12-12-12-1-1-1-1-1-1-1-1-1-1-1-10000-1-1-1-1-1-1-1-1000000002222000000000000-1-1-1-100000000
χ4222222222-122-122-1-12222-1-122222222-1-1-1-12-1-122-1-12-1-1-1-122-1-1-1-1-1-1222222-2-2-2-20000-2-2-2-2-2-2-2-200000000-1-1-1-1-1-1-1-100000000-12-12-12-12-1-1-1-1-1-1-1-1111100001111111100000000-2-2-2-2000000000000111100000000
χ4322222222-122-122-1-12222-1-122222222-1-1-1-12-1-122-1-12-1-1-1-122-1-1-1-1-1-122-2-2-2-2222200002222222200000000-1-1-1-1-1-1-1-1000000001-21-21-21-211111111-1-1-1-10000-1-1-1-1-1-1-1-100000000-2-2-2-2000000000000111100000000
χ4422222222-122-122-1-12222-1-122222222-1-1-1-12-1-122-1-12-1-1-1-122-1-1-1-1-1-122-2-2-2-2-2-2-2-20000-2-2-2-2-2-2-2-200000000-1-1-1-1-1-1-1-1000000001-21-21-21-2111111111111000011111111000000002222000000000000-1-1-1-100000000
χ452222-2-2-2-222-122-12222-1-1-2-211-2-211-2-2-2-22-1-1-1-1-1-12-1-122-2-211-2-211111100002i2i−2i−2i2i2i−2i−2i−i−i−i−iiiii−i−i−i−iiiii-1-1-1-111112222-2-2-2-200000000000000002i2i−2i−2i2i2i−2i−2i−i−i−i−iiiii−i−i−i−iiiii00000000-1-1-1-11111000000000000
χ462222-2-2-2-222-122-12222-1-1-2-211-2-211-2-2-2-22-1-1-1-1-1-12-1-122-2-211-2-211111100002i2i−2i−2i−2i−2i2i2i−i−i−i−iiiiiiiii−i−i−i−i-1-1-1-11111-2-2-2-2222200000000000000002i2i−2i−2i−2i−2i2i2i−i−i−i−iiiiiiiii−i−i−i−i000000001111-1-1-1-1000000000000
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Here ζ is a primitive root of unity of order 24 (ζ24 = 1); i = ζ6.