Finite Group Databasebeta

← Group #11921277

Character table — Group #11921277

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108
size11112222222222222222222222444444446666888888888888888888888888888888888888888888881212121212121212121212121212363636364848484848484848
order12442344444666121212121212121212121212336612121212224433666666661212121212121212121212121212121212121212121212121212121212121212121224446688121212121212248866121224242424
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-11111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i321111−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32111111111111111111−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32
χ411111111111111111111111111−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i321111−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32-1-11111-1-1111111-1-1-1-11+i321−i321+i321−i321+i321+i321−i321−i32
χ511111111111111111111111111−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i321111−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32111111111111111111−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32
χ611111111111111111111111111−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i321111−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32-1-11111-1-1111111-1-1-1-11−i321+i321−i321+i321−i321−i321+i321+i32
χ71111111-1-1-1-11111111-1-1-1-1-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-111-1-1-1-111-1-11111-1-1-1-1
χ81111111-1-1-1-11111111-1-1-1-1-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-111-1-1-1-11111
χ91111111-1-1-1-11111111-1-1-1-1-1-1-1-1−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i321111−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i3211-1-111-1-111-1-1-1-111-1-1−1−i32−1+i32−1−i32−1+i321+i321+i321−i321−i32
χ101111111-1-1-1-11111111-1-1-1-1-1-1-1-1−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i321111−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i32-1-1-1-1111111-1-1-1-1-1-1111+i321−i321+i321−i32−1−i32−1−i32−1+i32−1+i32
χ111111111-1-1-1-11111111-1-1-1-1-1-1-1-1−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i321111−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i3211-1-111-1-111-1-1-1-111-1-1−1+i32−1−i32−1+i32−1−i321−i321−i321+i321+i32
χ121111111-1-1-1-11111111-1-1-1-1-1-1-1-1−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i321111−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i32-1-1-1-1111111-1-1-1-1-1-1111−i321+i321−i321+i32−1+i32−1+i32−1−i32−1−i32
χ1311-1-1-111ii−i−i1-1-111-1-1iiii−i−i−i−i1111-1-1-1-11-11-111-1-11-1-11-1-11111-1-1iiiiii−i−i−i−i−i−i11-1-1iiiiii−i−i−i−i−i−i1-1i−i1-1i−i1-1ii−i−i-11i−i11-1-1i−ii−i
χ1411-1-1-111ii−i−i1-1-111-1-1iiii−i−i−i−i1111-1-1-1-11-11-111-1-11-1-11-1-11111-1-1iiiiii−i−i−i−i−i−i11-1-1iiiiii−i−i−i−i−i−i-11i−i1-1−ii1-1ii−i−i1-1−ii-1-111−ii−ii
χ1511-1-1-111ii−i−i1-1-111-1-1iiii−i−i−i−i−1−i32−1+i32−1−i32−1+i321+i321+i321−i321−i321-11-1−1−i32−1+i321+i321−i32−1−i321+i321+i32−1+i321−i321−i32−1−i32−1+i32−1−i32−1−i321+i321+i32ζ11ζ11ζ11ζ11ζ11ζ11−ζ11−ζ11−ζ11−ζ11−ζ11−ζ11−1+i32−1+i321−i321−i32ζ7ζ7ζ7ζ7ζ7ζ7−ζ7−ζ7−ζ7−ζ7−ζ7−ζ71-1i−i1-1i−i1-1ii−i−i-11i−i−1−i32−1+i321+i321−i32ζ11−ζ11ζ7−ζ7
χ1611-1-1-111ii−i−i1-1-111-1-1iiii−i−i−i−i−1−i32−1+i32−1−i32−1+i321+i321+i321−i321−i321-11-1−1−i32−1+i321+i321−i32−1−i321+i321+i32−1+i321−i321−i32−1−i32−1+i32−1−i32−1−i321+i321+i32ζ11ζ11ζ11ζ11ζ11ζ11−ζ11−ζ11−ζ11−ζ11−ζ11−ζ11−1+i32−1+i321−i321−i32ζ7ζ7ζ7ζ7ζ7ζ7−ζ7−ζ7−ζ7−ζ7−ζ7−ζ7-11i−i1-1−ii1-1ii−i−i1-1−ii1+i321−i32−1−i32−1+i32−ζ11ζ11−ζ7ζ7
χ1711-1-1-111ii−i−i1-1-111-1-1iiii−i−i−i−i−1+i32−1−i32−1+i32−1−i321−i321−i321+i321+i321-11-1−1+i32−1−i321−i321+i32−1+i321−i321−i32−1−i321+i321+i32−1+i32−1−i32−1+i32−1+i321−i321−i32ζ7ζ7ζ7ζ7ζ7ζ7−ζ7−ζ7−ζ7−ζ7−ζ7−ζ7−1−i32−1−i321+i321+i32ζ11ζ11ζ11ζ11ζ11ζ11−ζ11−ζ11−ζ11−ζ11−ζ11−ζ111-1i−i1-1i−i1-1ii−i−i-11i−i−1+i32−1−i321−i321+i32ζ7−ζ7ζ11−ζ11
χ1811-1-1-111ii−i−i1-1-111-1-1iiii−i−i−i−i−1+i32−1−i32−1+i32−1−i321−i321−i321+i321+i321-11-1−1+i32−1−i321−i321+i32−1+i321−i321−i32−1−i321+i321+i32−1+i32−1−i32−1+i32−1+i321−i321−i32ζ7ζ7ζ7ζ7ζ7ζ7−ζ7−ζ7−ζ7−ζ7−ζ7−ζ7−1−i32−1−i321+i321+i32ζ11ζ11ζ11ζ11ζ11ζ11−ζ11−ζ11−ζ11−ζ11−ζ11−ζ11-11i−i1-1−ii1-1ii−i−i1-1−ii1−i321+i32−1+i32−1−i32−ζ7ζ7−ζ11ζ11
χ1911-1-1-111−i−iii1-1-111-1-1−i−i−i−iiiii1111-1-1-1-11-11-111-1-11-1-11-1-11111-1-1−i−i−i−i−i−iiiiiii11-1-1−i−i−i−i−i−iiiiiii1-1−ii1-1−ii1-1−i−iii-11−ii11-1-1−ii−ii
χ2011-1-1-111−i−iii1-1-111-1-1−i−i−i−iiiii1111-1-1-1-11-11-111-1-11-1-11-1-11111-1-1−i−i−i−i−i−iiiiiii11-1-1−i−i−i−i−i−iiiiiii-11−ii1-1i−i1-1−i−iii1-1i−i-1-111i−ii−i
χ2111-1-1-111−i−iii1-1-111-1-1−i−i−i−iiiii−1−i32−1+i32−1−i32−1+i321+i321+i321−i321−i321-11-1−1−i32−1+i321+i321−i32−1−i321+i321+i32−1+i321−i321−i32−1−i32−1+i32−1−i32−1−i321+i321+i32−ζ11−ζ11−ζ11−ζ11−ζ11−ζ11ζ11ζ11ζ11ζ11ζ11ζ11−1+i32−1+i321−i321−i32−ζ7−ζ7−ζ7−ζ7−ζ7−ζ7ζ7ζ7ζ7ζ7ζ7ζ71-1−ii1-1−ii1-1−i−iii-11−ii−1−i32−1+i321+i321−i32−ζ11ζ11−ζ7ζ7
χ2211-1-1-111−i−iii1-1-111-1-1−i−i−i−iiiii−1−i32−1+i32−1−i32−1+i321+i321+i321−i321−i321-11-1−1−i32−1+i321+i321−i32−1−i321+i321+i32−1+i321−i321−i32−1−i32−1+i32−1−i32−1−i321+i321+i32−ζ11−ζ11−ζ11−ζ11−ζ11−ζ11ζ11ζ11ζ11ζ11ζ11ζ11−1+i32−1+i321−i321−i32−ζ7−ζ7−ζ7−ζ7−ζ7−ζ7ζ7ζ7ζ7ζ7ζ7ζ7-11−ii1-1i−i1-1−i−iii1-1i−i1+i321−i32−1−i32−1+i32ζ11−ζ11ζ7−ζ7
χ2311-1-1-111−i−iii1-1-111-1-1−i−i−i−iiiii−1+i32−1−i32−1+i32−1−i321−i321−i321+i321+i321-11-1−1+i32−1−i321−i321+i32−1+i321−i321−i32−1−i321+i321+i32−1+i32−1−i32−1+i32−1+i321−i321−i32−ζ7−ζ7−ζ7−ζ7−ζ7−ζ7ζ7ζ7ζ7ζ7ζ7ζ7−1−i32−1−i321+i321+i32−ζ11−ζ11−ζ11−ζ11−ζ11−ζ11ζ11ζ11ζ11ζ11ζ11ζ111-1−ii1-1−ii1-1−i−iii-11−ii−1+i32−1−i321−i321+i32−ζ7ζ7−ζ11ζ11
χ2411-1-1-111−i−iii1-1-111-1-1−i−i−i−iiiii−1+i32−1−i32−1+i32−1−i321−i321−i321+i321+i321-11-1−1+i32−1−i321−i321+i32−1+i321−i321−i32−1−i321+i321+i32−1+i32−1−i32−1+i32−1+i321−i321−i32−ζ7−ζ7−ζ7−ζ7−ζ7−ζ7ζ7ζ7ζ7ζ7ζ7ζ7−1−i32−1−i321+i321+i32−ζ11−ζ11−ζ11−ζ11−ζ11−ζ11ζ11ζ11ζ11ζ11ζ11ζ11-11−ii1-1i−i1-1−i−iii1-1i−i1−i321+i32−1+i32−1−i32ζ7−ζ7ζ11−ζ11
χ2522222-122222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1222222222222-1-122-1-1-1-1-1-122-1-1-1-122-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-122-1-1-1-10022-1-100-1-1-1-1-1-1000000000000
χ2622222-122222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−1−i3−1+i3−1−i3−1+i3−1−i3−1−i3−1+i3−1+i322221+i321−i32−1−i3−1+i31+i321+i321+i321−i321−i321−i32−1−i3−1+i31+i321+i321+i321+i32−1−i3−1−i31+i321+i321+i321+i32−1−i3−1−i31+i321+i321+i321+i321−i321−i321−i321−i32−1+i3−1+i31−i321−i321−i321−i32−1+i3−1+i31−i321−i321−i321−i320022-1-100-1-1-1-1-1-1000000000000
χ2722222-122222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−1+i3−1−i3−1+i3−1−i3−1+i3−1+i3−1−i3−1−i322221−i321+i32−1+i3−1−i31−i321−i321−i321+i321+i321+i32−1+i3−1−i31−i321−i321−i321−i32−1+i3−1+i31−i321−i321−i321−i32−1+i3−1+i31−i321−i321−i321−i321+i321+i321+i321+i32−1−i3−1−i31+i321+i321+i321+i32−1−i3−1−i31+i321+i321+i321+i320022-1-100-1-1-1-1-1-1000000000000
χ2822222-12-2-2-2-2-1-1-1-1-1-1-111111111222222222222-1-122-1-1-1-1-1-122-1-1-1-1-2-21111-2-21111-1-1-1-1-2-21111-2-2111100-2-2-1-100-1-11111000000000000
χ2922222-12-2-2-2-2-1-1-1-1-1-1-111111111−1−i3−1+i3−1−i3−1+i3−1−i3−1−i3−1+i3−1+i322221+i321−i32−1−i3−1+i31+i321+i321+i321−i321−i321−i32−1−i3−1+i31+i321+i321+i321+i321+i31+i3−1−i32−1−i32−1−i32−1−i321+i31+i3−1−i32−1−i32−1−i32−1−i321−i321−i321−i321−i321−i31−i3−1+i32−1+i32−1+i32−1+i321−i31−i3−1+i32−1+i32−1+i32−1+i3200-2-2-1-100-1-11111000000000000
χ3022222-12-2-2-2-2-1-1-1-1-1-1-111111111−1+i3−1−i3−1+i3−1−i3−1+i3−1+i3−1−i3−1−i322221−i321+i32−1+i3−1−i31−i321−i321−i321+i321+i321+i32−1+i3−1−i31−i321−i321−i321−i321−i31−i3−1+i32−1+i32−1+i32−1+i321−i31−i3−1+i32−1+i32−1+i32−1+i321+i321+i321+i321+i321+i31+i3−1−i32−1−i32−1−i32−1−i321+i31+i3−1−i32−1−i32−1−i32−1−i3200-2-2-1-100-1-11111000000000000
χ312222-22-200002-2-2-2-2220000000022222222-222-222-2-22-2-22-2-2-2-2-2-222000000000000-2-2220000000000000000-22002-20000000000000000
χ322222-22-200002-2-2-2-22200000000−1−i3−1+i3−1−i3−1+i3−1−i3−1−i3−1+i3−1+i3-222-2−1−i3−1+i31+i31−i3−1−i31+i31+i3−1+i31−i31−i31+i31−i31+i31+i3−1−i3−1−i30000000000001−i31−i3−1+i3−1+i30000000000000000-22002-20000000000000000
χ332222-22-200002-2-2-2-22200000000−1+i3−1−i3−1+i3−1−i3−1+i3−1+i3−1−i3−1−i3-222-2−1+i3−1−i31−i31+i3−1+i31−i31−i3−1−i31+i31+i31−i31+i31−i31−i3−1+i3−1+i30000000000001+i31+i3−1−i3−1−i30000000000000000-22002-20000000000000000
χ342222-2-1-20000-11111-1-133−3−333−3−322222222-222-2-1-1-2-2-111-111-2-211-1-10033−3−30033−3−311-1-10033−3−30033−3−300001-100-113−33−3000000000000
χ352222-2-1-20000-11111-1-133−3−333−3−3−1−i3−1+i3−1−i3−1+i3−1−i3−1−i3−1+i3−1+i3-222-21+i321−i321+i31−i31+i32−1−i32−1−i321−i32−1+i32−1+i321+i31−i3−1−i32−1−i321+i321+i32002ζ7+ζ112ζ7+ζ11−2ζ7−ζ11−2ζ7−ζ11002ζ7+ζ112ζ7+ζ11−2ζ7−ζ11−2ζ7−ζ11−1+i32−1+i321−i321−i3200−ζ7−2ζ11−ζ7−2ζ11ζ7+2ζ11ζ7+2ζ1100−ζ7−2ζ11−ζ7−2ζ11ζ7+2ζ11ζ7+2ζ1100001-100-113−33−3000000000000
χ362222-2-1-20000-11111-1-133−3−333−3−3−1+i3−1−i3−1+i3−1−i3−1+i3−1+i3−1−i3−1−i3-222-21−i321+i321−i31+i31−i32−1+i32−1+i321+i32−1−i32−1−i321−i31+i3−1+i32−1+i321−i321−i3200−ζ7−2ζ11−ζ7−2ζ11ζ7+2ζ11ζ7+2ζ1100−ζ7−2ζ11−ζ7−2ζ11ζ7+2ζ11ζ7+2ζ11−1−i32−1−i321+i321+i32002ζ7+ζ112ζ7+ζ11−2ζ7−ζ11−2ζ7−ζ11002ζ7+ζ112ζ7+ζ11−2ζ7−ζ11−2ζ7−ζ1100001-100-113−33−3000000000000
χ372222-2-1-20000-11111-1-1−3−333−3−33322222222-222-2-1-1-2-2-111-111-2-211-1-100−3−33300−3−33311-1-100−3−33300−3−33300001-100-11−33−33000000000000
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χ10066666-36-6-6-6-6-3-3-3-3-3-3-33333333300000000-2-2-2-2000000000000000000000000000000000000000000000022110011-1-1-1-1000000000000
χ1016666-66-600006-6-6-6-66600000000000000002-2-220000000000000000000000000000000000000000000000002-200-220000000000000000
χ1026666-6-3-60000-33333-3-33333−33−333333−33−33000000002-2-22000000000000000000000000000000000000000000000000-11001-1−33−33000000000000
χ1036666-6-3-60000-33333-3-3−33−333333−33−333333000000002-2-22000000000000000000000000000000000000000000000000-11001-13−33−3000000000000
χ10466-6-666-60000666-6-6-6-6000000000000000022-2-20000000000000000000000000000000000000000000000002200-2-20000000000000000
χ10566-6-66-3-60000-3-3-33333−3i3−3i33i33i33i33i3−3i3−3i30000000022-2-2000000000000000000000000000000000000000000000000-1-10011i3−i3−i3i3000000000000
χ10666-6-66-3-60000-3-3-333333i33i3−3i3−3i3−3i3−3i33i33i30000000022-2-2000000000000000000000000000000000000000000000000-1-10011−i3i3i3−i3000000000000
χ10766-6-6-6-366i6i−6i−6i-333-3-333−3i−3i−3i−3i3i3i3i3i00000000-22-220000000000000000000000000000000000000000000000−2i2i1-1001-1ii−i−i000000000000
χ10866-6-6-6-36−6i−6i6i6i-333-3-3333i3i3i3i−3i−3i−3i−3i00000000-22-2200000000000000000000000000000000000000000000002i−2i1-1001-1−i−iii000000000000

Here ζ is a primitive root of unity of order 12 (ζ12 = 1); i = ζ3.