Finite Group Databasebeta

← Group #11783269

Character table — Group #11783269

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156
size11111111222222222222222222222222222222222222444444444444444444444444444444444444444444444444444444444444888888888888888888888888888888881818181818181818363636363636363636363636
order12222222344446666666999181818181818181818181818181818181818181818444444448888121212122424242424242424363636363636363636363636727272727272727272727272727272727272727272727272121212121212121236363636363636363636363636363636363636363636363622224444444444448888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1
χ4111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ511111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-11111-1-1-1-1
χ611111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111
χ711111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111
χ811111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1
χ9111-1-11-1-111-1-1111-1-11-1-1111111111-1-1-1-1-1-1111-1-1-1-1-1-1ii−i−iii−i−i11-1-11-1-111111-1-1-1-1111-1-1-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1ii−i−iii−i−iiiiiii−i−i−i−i−i−iiiiiii−i−i−i−i−i−i11-1-111-1-1ii−i−iii−i−i11-1-1
χ10111-1-11-1-111-1-1111-1-11-1-1111111111-1-1-1-1-1-1111-1-1-1-1-1-1ii−i−iii−i−i11-1-11-1-111111-1-1-1-1111-1-1-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1ii−i−iii−i−iiiiiii−i−i−i−i−i−iiiiiii−i−i−i−i−i−i-1-111-1-111−i−iii−i−iii-1-111
χ11111-1-11-1-111-1-1111-1-11-1-1111111111-1-1-1-1-1-1111-1-1-1-1-1-1ii−i−i−i−iii-1-1111-1-11-1-1-1-11111111-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-1111111111111ii−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−iiiiiii11-1-111-1-1ii−i−i−i−iii-1-111
χ12111-1-11-1-111-1-1111-1-11-1-1111111111-1-1-1-1-1-1111-1-1-1-1-1-1ii−i−i−i−iii-1-1111-1-11-1-1-1-11111111-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-1111111111111ii−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−iiiiiii-1-111-1-111−i−iiiii−i−i11-1-1
χ13111-1-11-1-111-1-1111-1-11-1-1111111111-1-1-1-1-1-1111-1-1-1-1-1-1−i−iiiii−i−i-1-1111-1-11-1-1-1-11111111-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-1111111111111−i−iiiii−i−i−i−i−i−i−i−iiiiiiiiiiiii−i−i−i−i−i−i11-1-111-1-1−i−iiiii−i−i-1-111
χ14111-1-11-1-111-1-1111-1-11-1-1111111111-1-1-1-1-1-1111-1-1-1-1-1-1−i−iiiii−i−i-1-1111-1-11-1-1-1-11111111-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-1111111111111−i−iiiii−i−i−i−i−i−i−i−iiiiiiiiiiiii−i−i−i−i−i−i-1-111-1-111ii−i−i−i−iii11-1-1
χ15111-1-11-1-111-1-1111-1-11-1-1111111111-1-1-1-1-1-1111-1-1-1-1-1-1−i−iii−i−iii11-1-11-1-111111-1-1-1-1111-1-1-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1−i−iii−i−iii−i−i−i−i−i−iiiiiii−i−i−i−i−i−iiiiiii11-1-111-1-1−i−iii−i−iii11-1-1
χ16111-1-11-1-111-1-1111-1-11-1-1111111111-1-1-1-1-1-1111-1-1-1-1-1-1−i−iii−i−iii11-1-11-1-111111-1-1-1-1111-1-1-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1−i−iii−i−iii−i−i−i−i−i−iiiiiii−i−i−i−i−i−iiiiiii-1-111-1-111ii−i−iii−i−i-1-111
χ171-1-11-11-11111-1-1-1-11-111-1111-1-1-1-1-1-1111-1-1-1111111-1-1-1i−ii−i1-11-1i−ii−i11-1-1ii−i−iii−i−i111111-1-1-1-1-1-1iiiiii−i−i−i−i−i−iiiiiii−i−i−i−i−i−ii−ii−i1-11-1iii−i−i−iiii−i−i−i111-1-1-1111-1-1-11-11-11-11-1i−ii−i1-11-1i−ii−i
χ181-1-11-11-11111-1-1-1-11-111-1111-1-1-1-1-1-1111-1-1-1111111-1-1-1i−ii−i1-11-1i−ii−i11-1-1ii−i−iii−i−i111111-1-1-1-1-1-1iiiiii−i−i−i−i−i−iiiiiii−i−i−i−i−i−ii−ii−i1-11-1iii−i−i−iiii−i−i−i111-1-1-1111-1-1-1-11-11-11-11−ii−ii-11-11−ii−ii
χ191-1-11-11-11111-1-1-1-11-111-1111-1-1-1-1-1-1111-1-1-1111111-1-1-1i−ii−i-11-11−ii−ii11-1-1−i−iii−i−iii111111-1-1-1-1-1-1−i−i−i−i−i−iiiiiii−i−i−i−i−i−iiiiiiii−ii−i-11-11iii−i−i−iiii−i−i−i-1-1-1111-1-1-11111-11-11-11-1i−ii−i-11-11−ii−ii
χ201-1-11-11-11111-1-1-1-11-111-1111-1-1-1-1-1-1111-1-1-1111111-1-1-1i−ii−i-11-11−ii−ii11-1-1−i−iii−i−iii111111-1-1-1-1-1-1−i−i−i−i−i−iiiiiii−i−i−i−i−i−iiiiiiii−ii−i-11-11iii−i−i−iiii−i−i−i-1-1-1111-1-1-1111-11-11-11-11−ii−ii1-11-1i−ii−i
χ211-1-11-11-11111-1-1-1-11-111-1111-1-1-1-1-1-1111-1-1-1111111-1-1-1−ii−ii1-11-1−ii−ii11-1-1−i−iii−i−iii111111-1-1-1-1-1-1−i−i−i−i−i−iiiiiii−i−i−i−i−i−iiiiiii−ii−ii1-11-1−i−i−iiii−i−i−iiii111-1-1-1111-1-1-11-11-11-11-1−ii−ii1-11-1−ii−ii
χ221-1-11-11-11111-1-1-1-11-111-1111-1-1-1-1-1-1111-1-1-1111111-1-1-1−ii−ii1-11-1−ii−ii11-1-1−i−iii−i−iii111111-1-1-1-1-1-1−i−i−i−i−i−iiiiiii−i−i−i−i−i−iiiiiii−ii−ii1-11-1−i−i−iiii−i−i−iiii111-1-1-1111-1-1-1-11-11-11-11i−ii−i-11-11i−ii−i
χ231-1-11-11-11111-1-1-1-11-111-1111-1-1-1-1-1-1111-1-1-1111111-1-1-1−ii−ii-11-11i−ii−i11-1-1ii−i−iii−i−i111111-1-1-1-1-1-1iiiiii−i−i−i−i−i−iiiiiii−i−i−i−i−i−i−ii−ii-11-11−i−i−iiii−i−i−iiii-1-1-1111-1-1-11111-11-11-11-1−ii−ii-11-11i−ii−i
χ241-1-11-11-11111-1-1-1-11-111-1111-1-1-1-1-1-1111-1-1-1111111-1-1-1−ii−ii-11-11i−ii−i11-1-1ii−i−iii−i−i111111-1-1-1-1-1-1iiiiii−i−i−i−i−i−iiiiiii−i−i−i−i−i−i−ii−ii-11-11−i−i−iiii−i−i−iiii-1-1-1111-1-1-1111-11-11-11-11i−ii−i1-11-1−ii−ii
χ251-1-1-1111-111-11-1-1-1-111-11111-1-1-1-1-1-1-1-1-1111111-1-1-11111-1-11i−i−ii−iii−i1-11-1−i−iiiii−i−i111-1-1-1111-1-1-1−i−i−i−i−i−iiiiiiiiiiiii−i−i−i−i−i−i1-1-11i−i−ii111-1-1-1-1-1-1111iii−i−i−i−i−i−iiii1-1-111-1-111-1-11i−i−ii−iii−i
χ261-1-1-1111-111-11-1-1-1-111-11111-1-1-1-1-1-1-1-1-1111111-1-1-11111-1-11i−i−ii−iii−i1-11-1−i−iiiii−i−i111-1-1-1111-1-1-1−i−i−i−i−i−iiiiiiiiiiiii−i−i−i−i−i−i1-1-11i−i−ii111-1-1-1-1-1-1111iii−i−i−i−i−i−iiii-111-1-111-1-111-1−iii−ii−i−ii
χ271-1-1-1111-111-11-1-1-1-111-11111-1-1-1-1-1-1-1-1-1111111-1-1-11111-1-11−iii−ii−i−ii1-11-1ii−i−i−i−iii111-1-1-1111-1-1-1iiiiii−i−i−i−i−i−i−i−i−i−i−i−iiiiiii1-1-11−iii−i111-1-1-1-1-1-1111−i−i−iiiiiii−i−i−i1-1-111-1-111-1-11−iii−ii−i−ii
χ281-1-1-1111-111-11-1-1-1-111-11111-1-1-1-1-1-1-1-1-1111111-1-1-11111-1-11−iii−ii−i−ii1-11-1ii−i−i−i−iii111-1-1-1111-1-1-1iiiiii−i−i−i−i−i−i−i−i−i−i−i−iiiiiii1-1-11−iii−i111-1-1-1-1-1-1111−i−i−iiiiiii−i−i−i-111-1-111-1-111-1i−i−ii−iii−i
χ291-1-1-1111-111-11-1-1-1-111-11111-1-1-1-1-1-1-1-1-1111111-1-1-1111-111-1i−i−iii−i−ii1-11-1ii−i−i−i−iii111-1-1-1111-1-1-1iiiiii−i−i−i−i−i−i−i−i−i−i−i−iiiiiii-111-1i−i−ii-1-1-1111111-1-1-1iii−i−i−i−i−i−iiii1-1-111-1-11-111-1i−i−iii−i−ii
χ301-1-1-1111-111-11-1-1-1-111-11111-1-1-1-1-1-1-1-1-1111111-1-1-1111-111-1i−i−iii−i−ii1-11-1ii−i−i−i−iii111-1-1-1111-1-1-1iiiiii−i−i−i−i−i−i−i−i−i−i−i−iiiiiii-111-1i−i−ii-1-1-1111111-1-1-1iii−i−i−i−i−i−iiii-111-1-111-11-1-11−iii−i−iii−i
χ311-1-1-1111-111-11-1-1-1-111-11111-1-1-1-1-1-1-1-1-1111111-1-1-1111-111-1−iii−i−iii−i1-11-1−i−iiiii−i−i111-1-1-1111-1-1-1−i−i−i−i−i−iiiiiiiiiiiii−i−i−i−i−i−i-111-1−iii−i-1-1-1111111-1-1-1−i−i−iiiiiii−i−i−i1-1-111-1-11-111-1−iii−i−iii−i
χ321-1-1-1111-111-11-1-1-1-111-11111-1-1-1-1-1-1-1-1-1111111-1-1-1111-111-1−iii−i−iii−i1-11-1−i−iiiii−i−i111-1-1-1111-1-1-1−i−i−i−i−i−iiiiiiiiiiiii−i−i−i−i−i−i-111-1−iii−i-1-1-1111111-1-1-1−i−i−iiiiiii−i−i−i-111-1-111-11-1-11i−i−iii−i−ii
χ3322222222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1222222222222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000000000000
χ3422222222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-2-2-2-2-2-2-2-22222-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111112222-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-111111111111100000000000000000000
χ3522222222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-22222-2-2-2-22222-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-2-2-2-22222111111111111-1-1-1-1-1-1-1-1-1-1-1-100000000000000000000
χ3622222222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-22222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-211111111111111111111111100000000000000000000
χ37222222222-2-2-2-22222222222222222222222222222222000000000000-2-2-2-200000000-2-2-2-2-2-2-2-2-2-2-2-2000000000000000000000000000000000000000000000000000000002222-2-2-2-2000000000000
χ38222222222-2-2-2-22222222222222222222222222222222000000000000-2-2-2-200000000-2-2-2-2-2-2-2-2-2-2-2-200000000000000000000000000000000000000000000000000000000-2-2-2-22222000000000000
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χ1514-4-44-44-44-2-4-44422-22-2-222ζ4−2ζ44+2ζ52−2ζ4−2ζ682ζ44−2ζ52+2ζ68−2ζ4+2ζ44−2ζ52−2ζ4+2ζ44−2ζ522ζ4+2ζ682ζ4+2ζ68−2ζ44+2ζ52−2ζ68−2ζ44+2ζ52−2ζ682ζ4−2ζ44+2ζ52−2ζ4−2ζ682ζ44−2ζ52+2ζ68−2ζ4+2ζ44−2ζ522ζ4+2ζ68−2ζ44+2ζ52−2ζ682ζ4−2ζ44+2ζ52−2ζ4−2ζ682ζ44−2ζ52+2ζ682ζ4−2ζ44+2ζ52−2ζ4−2ζ682ζ44−2ζ52+2ζ68−2ζ4+2ζ44−2ζ522ζ4+2ζ68−2ζ44+2ζ52−2ζ6800000000000022-2-200000000−2ζ4+2ζ44−2ζ522ζ4+2ζ68−2ζ44+2ζ52−2ζ68−2ζ4+2ζ44−2ζ522ζ4+2ζ68−2ζ44+2ζ52−2ζ682ζ4−2ζ44+2ζ52−2ζ4−2ζ682ζ44−2ζ52+2ζ682ζ4−2ζ44+2ζ52−2ζ4−2ζ682ζ44−2ζ52+2ζ680000000000000000000000000000000000000000000000000000000000000000000000000000
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χ1544-4-4-4444-4-2-44-44222-2-22-22ζ44−2ζ52+2ζ682ζ4−2ζ44+2ζ52−2ζ4−2ζ68−2ζ44+2ζ52−2ζ68−2ζ44+2ζ52−2ζ68−2ζ4+2ζ44−2ζ52−2ζ4+2ζ44−2ζ522ζ4+2ζ682ζ4+2ζ68−2ζ44+2ζ52−2ζ68−2ζ4+2ζ44−2ζ522ζ4+2ζ682ζ44−2ζ52+2ζ682ζ4−2ζ44+2ζ52−2ζ4−2ζ682ζ44−2ζ52+2ζ682ζ4−2ζ44+2ζ52−2ζ4−2ζ68−2ζ44+2ζ52−2ζ68−2ζ4+2ζ44−2ζ522ζ4+2ζ682ζ44−2ζ52+2ζ682ζ4−2ζ44+2ζ52−2ζ4−2ζ680000000000002-22-200000000−2ζ44+2ζ52−2ζ68−2ζ4+2ζ44−2ζ522ζ4+2ζ682ζ44−2ζ52+2ζ682ζ4−2ζ44+2ζ52−2ζ4−2ζ68−2ζ44+2ζ52−2ζ68−2ζ4+2ζ44−2ζ522ζ4+2ζ682ζ44−2ζ52+2ζ682ζ4−2ζ44+2ζ52−2ζ4−2ζ680000000000000000000000000000000000000000000000000000000000000000000000000000
χ1554-4-4-4444-4-2-44-44222-2-22-22ζ4−2ζ44+2ζ52−2ζ4−2ζ682ζ44−2ζ52+2ζ68−2ζ4+2ζ44−2ζ52−2ζ4+2ζ44−2ζ522ζ4+2ζ682ζ4+2ζ68−2ζ44+2ζ52−2ζ68−2ζ44+2ζ52−2ζ68−2ζ4+2ζ44−2ζ522ζ4+2ζ68−2ζ44+2ζ52−2ζ682ζ4−2ζ44+2ζ52−2ζ4−2ζ682ζ44−2ζ52+2ζ682ζ4−2ζ44+2ζ52−2ζ4−2ζ682ζ44−2ζ52+2ζ68−2ζ4+2ζ44−2ζ522ζ4+2ζ68−2ζ44+2ζ52−2ζ682ζ4−2ζ44+2ζ52−2ζ4−2ζ682ζ44−2ζ52+2ζ680000000000002-22-200000000−2ζ4+2ζ44−2ζ522ζ4+2ζ68−2ζ44+2ζ52−2ζ682ζ4−2ζ44+2ζ52−2ζ4−2ζ682ζ44−2ζ52+2ζ68−2ζ4+2ζ44−2ζ522ζ4+2ζ68−2ζ44+2ζ52−2ζ682ζ4−2ζ44+2ζ52−2ζ4−2ζ682ζ44−2ζ52+2ζ680000000000000000000000000000000000000000000000000000000000000000000000000000
χ1564-4-4-4444-4-2-44-44222-2-22-2−2ζ4−2ζ682ζ44−2ζ52+2ζ682ζ4−2ζ44+2ζ522ζ4+2ζ682ζ4+2ζ68−2ζ44+2ζ52−2ζ68−2ζ44+2ζ52−2ζ68−2ζ4+2ζ44−2ζ52−2ζ4+2ζ44−2ζ522ζ4+2ζ68−2ζ44+2ζ52−2ζ68−2ζ4+2ζ44−2ζ52−2ζ4−2ζ682ζ44−2ζ52+2ζ682ζ4−2ζ44+2ζ52−2ζ4−2ζ682ζ44−2ζ52+2ζ682ζ4−2ζ44+2ζ522ζ4+2ζ68−2ζ44+2ζ52−2ζ68−2ζ4+2ζ44−2ζ52−2ζ4−2ζ682ζ44−2ζ52+2ζ682ζ4−2ζ44+2ζ520000000000002-22-2000000002ζ4+2ζ68−2ζ44+2ζ52−2ζ68−2ζ4+2ζ44−2ζ52−2ζ4−2ζ682ζ44−2ζ52+2ζ682ζ4−2ζ44+2ζ522ζ4+2ζ68−2ζ44+2ζ52−2ζ68−2ζ4+2ζ44−2ζ52−2ζ4−2ζ682ζ44−2ζ52+2ζ682ζ4−2ζ44+2ζ520000000000000000000000000000000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 72 (ζ72 = 1); i = ζ18.