Finite Group Databasebeta

← Group #11860586

Character table — Group #11860586

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156
size11112222222222222222222222222222222222222222224444444444444444444444444444444444444444444444444444444444888888888888888888888888888888881818181818181818363636363636363636363636
order12222234444666888899912121212181818181818181818363636363636363636363636224444446688121218181818181824242424242424243636363636367272727272727272727272727272727272727272727272726612121212121218181818181836363636363636363636363636363636363644444444444444448888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111
χ41111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1
χ511111111111111-1-1-1-1111111111111111111111111111111-1-111-1-111-1-111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-11111-1-1-1-1
χ611111111111111-1-1-1-1111111111111111111111111111111-1-111-1-111-1-111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-11111
χ711111111111111-1-1-1-11111111111111111111111111111-1-111-1-11111-1-111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1
χ811111111111111-1-1-1-11111111111111111111111111111-1-111-1-11111-1-111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ91111-1-11-1-1111111111111-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-111-1-111-1-111-1-1
χ101111-1-11-1-1111111111111-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-111-1-111-1-111
χ111111-1-11-1-1111111111111-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-11111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-111-1-1-1-111-1-11111-1-1
χ121111-1-11-1-1111111111111-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-11111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-111-1-11111-1-111-1-1-1-111
χ131111-1-11-1-111111-1-1-1-1111-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-111-1-1111111-1-1-1-1-1-1111111-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-111
χ141111-1-11-1-111111-1-1-1-1111-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-111-1-1111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-11111-1-1
χ151111-1-11-1-111111-1-1-1-1111-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-111-1-111-1-1-1-1-1-1111111-1-1-1-1-1-111111111-1-111-1-111-1-1-1-111-1-111
χ161111-1-11-1-111111-1-1-1-1111-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-111-1-111-1-1-1-1-1-1111111-1-1-1-1-1-1111111-1-111-1-111-1-11111-1-111-1-1
χ171-11-11-111-1-11-1-11ii−i−i11111-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-11-1i−i1-1i−i1-1i−i1-1111-1-1-1ii−i−iii−i−i111-1-1-1iiiiii−i−i−i−i−i−iiiiiii−i−i−i−i−i−i1-1i−ii−i1-1111-1-1-1iii−i−i−iiii−i−i−i111-1-1-1i−ii−ii−ii−i1-11-1i−ii−i1-11-1
χ181-11-11-111-1-11-1-11ii−i−i11111-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-11-1i−i1-1i−i1-1i−i1-1111-1-1-1ii−i−iii−i−i111-1-1-1iiiiii−i−i−i−i−i−iiiiiii−i−i−i−i−i−i1-1i−ii−i1-1111-1-1-1iii−i−i−iiii−i−i−i111-1-1-1−ii−ii−ii−ii-11-11−ii−ii-11-11
χ191-11-11-111-1-11-1-11ii−i−i11111-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-11−ii-11−ii1-1i−i1-1111-1-1-1ii−i−iii−i−i111-1-1-1iiiiii−i−i−i−i−i−iiiiiii−i−i−i−i−i−i-11−ii−ii-11-1-1-1111−i−i−iiii−i−i−iiii-1-1-1111i−ii−ii−ii−i-11-11−ii−ii1-11-1
χ201-11-11-111-1-11-1-11ii−i−i11111-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-11−ii-11−ii1-1i−i1-1111-1-1-1ii−i−iii−i−i111-1-1-1iiiiii−i−i−i−i−i−iiiiiii−i−i−i−i−i−i-11−ii−ii-11-1-1-1111−i−i−iiii−i−i−iiii-1-1-1111−ii−ii−ii−ii1-11-1i−ii−i-11-11
χ211-11-11-111-1-11-1-11−i−iii11111-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-11-1−ii1-1−ii1-1−ii1-1111-1-1-1−i−iii−i−iii111-1-1-1−i−i−i−i−i−iiiiiii−i−i−i−i−i−iiiiiii1-1−ii−ii1-1111-1-1-1−i−i−iiii−i−i−iiii111-1-1-1i−ii−ii−ii−i-11-11i−ii−i-11-11
χ221-11-11-111-1-11-1-11−i−iii11111-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-11-1−ii1-1−ii1-1−ii1-1111-1-1-1−i−iii−i−iii111-1-1-1−i−i−i−i−i−iiiiiii−i−i−i−i−i−iiiiiii1-1−ii−ii1-1111-1-1-1−i−i−iiii−i−i−iiii111-1-1-1−ii−ii−ii−ii1-11-1−ii−ii1-11-1
χ231-11-11-111-1-11-1-11−i−iii11111-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-11i−i-11i−i1-1−ii1-1111-1-1-1−i−iii−i−iii111-1-1-1−i−i−i−i−i−iiiiiii−i−i−i−i−i−iiiiiii-11i−ii−i-11-1-1-1111iii−i−i−iiii−i−i−i-1-1-1111i−ii−ii−ii−i1-11-1−ii−ii-11-11
χ241-11-11-111-1-11-1-11−i−iii11111-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-11i−i-11i−i1-1−ii1-1111-1-1-1−i−iii−i−iii111-1-1-1−i−i−i−i−i−iiiiiii−i−i−i−i−i−iiiiiii-11i−ii−i-11-1-1-1111iii−i−i−iiii−i−i−i-1-1-1111−ii−ii−ii−ii-11-11i−ii−i1-11-1
χ251-11-1-111-11-11-1-11ii−i−i111-1-111-1-1-1-1-1-1111-1-1-1-1-1-11111111-1i−i-11−ii-11−ii1-1-1-1-1111ii−i−i−i−iii111-1-1-1iiiiii−i−i−i−i−i−i−i−i−i−i−i−iiiiiii1-1i−i−ii-11111-1-1-1iii−i−i−i−i−i−iiii-1-1-1111i−i−iii−i−ii1-1-11i−i−ii1-1-11
χ261-11-1-111-11-11-1-11ii−i−i111-1-111-1-1-1-1-1-1111-1-1-1-1-1-11111111-1i−i-11−ii-11−ii1-1-1-1-1111ii−i−i−i−iii111-1-1-1iiiiii−i−i−i−i−i−i−i−i−i−i−i−iiiiiii1-1i−i−ii-11111-1-1-1iii−i−i−i−i−i−iiii-1-1-1111−iii−i−iii−i-111-1−iii−i-111-1
χ271-11-1-111-11-11-1-11ii−i−i111-1-111-1-1-1-1-1-1111-1-1-1-1-1-1111111-11−ii1-1i−i-11−ii1-1-1-1-1111ii−i−i−i−iii111-1-1-1iiiiii−i−i−i−i−i−i−i−i−i−i−i−iiiiiii-11−iii−i1-1-1-1-1111−i−i−iiiiiii−i−i−i111-1-1-1i−i−iii−i−ii-111-1−iii−i1-1-11
χ281-11-1-111-11-11-1-11ii−i−i111-1-111-1-1-1-1-1-1111-1-1-1-1-1-1111111-11−ii1-1i−i-11−ii1-1-1-1-1111ii−i−i−i−iii111-1-1-1iiiiii−i−i−i−i−i−i−i−i−i−i−i−iiiiiii-11−iii−i1-1-1-1-1111−i−i−iiiiiii−i−i−i111-1-1-1−iii−i−iii−i1-1-11i−i−ii-111-1
χ291-11-1-111-11-11-1-11−i−iii111-1-111-1-1-1-1-1-1111-1-1-1-1-1-11111111-1−ii-11i−i-11i−i1-1-1-1-1111−i−iiiii−i−i111-1-1-1−i−i−i−i−i−iiiiiiiiiiiii−i−i−i−i−i−i1-1−iii−i-11111-1-1-1−i−i−iiiiiii−i−i−i-1-1-1111i−i−iii−i−ii-111-1i−i−ii-111-1
χ301-11-1-111-11-11-1-11−i−iii111-1-111-1-1-1-1-1-1111-1-1-1-1-1-11111111-1−ii-11i−i-11i−i1-1-1-1-1111−i−iiiii−i−i111-1-1-1−i−i−i−i−i−iiiiiiiiiiiii−i−i−i−i−i−i1-1−iii−i-11111-1-1-1−i−i−iiiiiii−i−i−i-1-1-1111−iii−i−iii−i1-1-11−iii−i1-1-11
χ311-11-1-111-11-11-1-11−i−iii111-1-111-1-1-1-1-1-1111-1-1-1-1-1-1111111-11i−i1-1−ii-11i−i1-1-1-1-1111−i−iiiii−i−i111-1-1-1−i−i−i−i−i−iiiiiiiiiiiii−i−i−i−i−i−i-11i−i−ii1-1-1-1-1111iii−i−i−i−i−i−iiii111-1-1-1i−i−iii−i−ii1-1-11−iii−i-111-1
χ321-11-1-111-11-11-1-11−i−iii111-1-111-1-1-1-1-1-1111-1-1-1-1-1-1111111-11i−i1-1−ii-11i−i1-1-1-1-1111−i−iiiii−i−i111-1-1-1−i−i−i−i−i−iiiiiiiiiiiii−i−i−i−i−i−i-11i−i−ii1-1-1-1-1111iii−i−i−i−i−i−iiii111-1-1-1−iii−i−iii−i-111-1i−i−ii1-1-11
χ33222222222222222222-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222222222-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000000000000
χ34222222222222222222-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2222222-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-211111111111111111111111100000000000000000000
χ3522222222222222-2-2-2-2-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122-2-222-2-222-2-222-1-1-1-1-1-1-2-2-2-2-2-2-2-2-1-1-1-1-1-111111111111111111111111122-2-2-2-222-1-1-1-1-1-1111111111111-1-1-1-1-1-100000000000000000000
χ3622222222222222-2-2-2-2-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-222-2-22222-2-222-1-1-1-1-1-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1111111111111111111111111-2-22222-2-2111111-1-1-1-1-1-1-1-1-1-1-1-111111100000000000000000000
χ372222222-2-2-2-22220000222-2-2-2-2222222222-2-2-2-2-2-2-2-2-2-2-2-2000000002200-2-222222200000000-2-2-2-2-2-20000000000000000000000000000000000000000000000000000000022-2-2-2-222000000000000
χ382222222-2-2-2-22220000222-2-2-2-2222222222-2-2-2-2-2-2-2-2-2-2-2-2000000002200-2-222222200000000-2-2-2-2-2-200000000000000000000000000000000000000000000000000000000-2-22222-2-2000000000000
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χ40222222-12222-1-1-12222ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68-1-1-1-1ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4−ζ44+ζ52−ζ4−ζ68−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4−ζ44+ζ52−ζ4−ζ68−ζ4−ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4−ζ44+ζ52−ζ4−ζ68−ζ4−ζ68-2-2-2-2-2-2-2-2-1-122-1-1ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68-1-1-1-1-1-1-1-1ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4−ζ44+ζ52−ζ4−ζ68−ζ4−ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4−ζ44+ζ52−ζ4−ζ68−ζ4−ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4−ζ44+ζ52−ζ4−ζ68−ζ4−ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4−ζ44+ζ52−ζ4−ζ68−ζ4−ζ6811111111−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ4+ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ4+ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ4+ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ4+ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ4+ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ4+ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ4+ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ4+ζ6800000000000000000000
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χ1564-4-4400-200002-222i2−2i2−2i22i2−2ζ4−2ζ682ζ44−2ζ52+2ζ682ζ4−2ζ44+2ζ52−232323−232ζ4+2ζ68−2ζ4−2ζ68−2ζ44+2ζ52−2ζ682ζ44−2ζ52+2ζ68−2ζ4+2ζ44−2ζ522ζ4−2ζ44+2ζ522ζ4+2ζ68−2ζ44+2ζ52−2ζ68−2ζ4+2ζ44−2ζ522ζ14−2ζ22−2ζ14+2ζ22−2ζ14−2ζ62−2ζ702ζ14+2ζ62+2ζ702ζ22+2ζ62+2ζ70−2ζ22−2ζ62−2ζ70−2ζ14+2ζ222ζ14−2ζ222ζ14+2ζ62+2ζ70−2ζ14−2ζ62−2ζ70−2ζ22−2ζ62−2ζ702ζ22+2ζ62+2ζ7000000000000000000000−i2i2i2−i2−i6i6i6−i6000000−ζ5−ζ13−ζ23−ζ31ζ5+ζ13+ζ23+ζ31ζ5−ζ7+ζ23+ζ53−ζ61+ζ71−ζ5+ζ7−ζ23−ζ53+ζ61−ζ71ζ7+ζ13+ζ31−ζ53+ζ61−ζ71−ζ7−ζ13−ζ31+ζ53−ζ61+ζ71ζ5+ζ13+ζ23+ζ31−ζ5−ζ13−ζ23−ζ31−ζ5+ζ7−ζ23−ζ53+ζ61−ζ71ζ5−ζ7+ζ23+ζ53−ζ61+ζ71−ζ7−ζ13−ζ31+ζ53−ζ61+ζ71ζ7+ζ13+ζ31−ζ53+ζ61−ζ71−ζ5+ζ13+ζ23−ζ31ζ5−ζ13−ζ23+ζ31ζ5−ζ7−ζ23+ζ53+ζ61−ζ71−ζ5+ζ7+ζ23−ζ53−ζ61+ζ71ζ7−ζ13+ζ31−ζ53−ζ61+ζ71−ζ7+ζ13−ζ31+ζ53+ζ61−ζ71ζ5−ζ13−ζ23+ζ31−ζ5+ζ13+ζ23−ζ31−ζ5+ζ7+ζ23−ζ53−ζ61+ζ71ζ5−ζ7−ζ23+ζ53+ζ61−ζ71−ζ7+ζ13−ζ31+ζ53+ζ61−ζ71ζ7−ζ13+ζ31−ζ53−ζ61+ζ710000000000000000000000000000000000000000000000000000

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