Finite Group Databasebeta

← Group #11921339

Character table — Group #11921339

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108
size11112222222222222222222222444444446666888888888888888888888888888888888888888888881212121212121212121212121212363636364848484848484848
order1222344666888812121212242424242424242433666666224433666666121212121212121212121212242424242424242424242424242424242424242424242424224466881212242424244444666612121212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1
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+i32-1-1-1-11111111111-1-1-1-11+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−i32-1-1-1-11111111111-1-1-1-11−i321−i321+i321+i321−i321−i321+i321+i32
χ71111111111-1-1-1-11111-1-1-1-1-1-1-1-111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-111-1-1-1-1-1-1111111-1-1-1-1
χ81111111111-1-1-1-11111-1-1-1-1-1-1-1-111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-111-1-1-1-1-1-11111
χ91111111111-1-1-1-11111-1-1-1-1-1-1-1-1−1−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+i32−1−i32−1−i32−1+i32−1+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i3211-1-111-1-111-1-1-1-1-1-111−1−i32−1−i32−1+i32−1+i321+i321+i321−i321−i32
χ101111111111-1-1-1-11111-1-1-1-1-1-1-1-1−1−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+i32−1−i32−1−i32−1+i32−1+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i32-1-11111-1-111-1-1-1-111-1-11+i321+i321−i321−i32−1−i32−1−i32−1+i32−1+i32
χ111111111111-1-1-1-11111-1-1-1-1-1-1-1-1−1+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−i32−1+i32−1+i32−1−i32−1−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i3211-1-111-1-111-1-1-1-1-1-111−1+i32−1+i32−1−i32−1−i321−i321−i321+i321+i32
χ121111111111-1-1-1-11111-1-1-1-1-1-1-1-1−1+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−i32−1+i32−1+i32−1−i32−1−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i32-1-11111-1-111-1-1-1-111-1-11−i321−i321+i321+i32−1+i32−1+i32−1−i32−1−i32
χ131-1-1111-1-1-11ii−i−i11-1-1iiii−i−i−i−i11-1-111-1-11-11-111-1-1-1-111111111-1-1-1-1-1-1iiiiii−i−i−i−i−i−iiiiiii−i−i−i−i−i−i1-1i−i1-1i−i1-1ii−i−ii−i1-11-11-1i−ii−i
χ141-1-1111-1-1-11ii−i−i11-1-1iiii−i−i−i−i11-1-111-1-11-11-111-1-1-1-111111111-1-1-1-1-1-1iiiiii−i−i−i−i−i−iiiiiii−i−i−i−i−i−i-11−ii1-1i−i1-1ii−i−i−ii-11-11-11−ii−ii
χ151-1-1111-1-1-11ii−i−i11-1-1iiii−i−i−i−i−1−i32−1+i321+i321−i32−1−i32−1+i321+i321−i321-11-1−1−i32−1+i321+i321+i321−i321−i32−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i321+i321−i321+i321+i321−i321−i32ζ22ζ22ζ22ζ22ζ22ζ22−ζ22−ζ22−ζ22−ζ22−ζ22−ζ22ζ14ζ14ζ14ζ14ζ14ζ14−ζ14−ζ14−ζ14−ζ14−ζ14−ζ141-1i−i1-1i−i1-1ii−i−ii−i1-1−1−i321+i32−1+i321−i32ζ22−ζ22ζ14−ζ14
χ161-1-1111-1-1-11ii−i−i11-1-1iiii−i−i−i−i−1−i32−1+i321+i321−i32−1−i32−1+i321+i321−i321-11-1−1−i32−1+i321+i321+i321−i321−i32−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i321+i321−i321+i321+i321−i321−i32ζ22ζ22ζ22ζ22ζ22ζ22−ζ22−ζ22−ζ22−ζ22−ζ22−ζ22ζ14ζ14ζ14ζ14ζ14ζ14−ζ14−ζ14−ζ14−ζ14−ζ14−ζ14-11−ii1-1i−i1-1ii−i−i−ii-111+i32−1−i321−i32−1+i32−ζ22ζ22−ζ14ζ14
χ171-1-1111-1-1-11ii−i−i11-1-1iiii−i−i−i−i−1+i32−1−i321−i321+i32−1+i32−1−i321−i321+i321-11-1−1+i32−1−i321−i321−i321+i321+i32−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i321−i321+i321−i321−i321+i321+i32ζ14ζ14ζ14ζ14ζ14ζ14−ζ14−ζ14−ζ14−ζ14−ζ14−ζ14ζ22ζ22ζ22ζ22ζ22ζ22−ζ22−ζ22−ζ22−ζ22−ζ22−ζ221-1i−i1-1i−i1-1ii−i−ii−i1-1−1+i321−i32−1−i321+i32ζ14−ζ14ζ22−ζ22
χ181-1-1111-1-1-11ii−i−i11-1-1iiii−i−i−i−i−1+i32−1−i321−i321+i32−1+i32−1−i321−i321+i321-11-1−1+i32−1−i321−i321−i321+i321+i32−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i321−i321+i321−i321−i321+i321+i32ζ14ζ14ζ14ζ14ζ14ζ14−ζ14−ζ14−ζ14−ζ14−ζ14−ζ14ζ22ζ22ζ22ζ22ζ22ζ22−ζ22−ζ22−ζ22−ζ22−ζ22−ζ22-11−ii1-1i−i1-1ii−i−i−ii-111−i32−1+i321+i32−1−i32−ζ14ζ14−ζ22ζ22
χ191-1-1111-1-1-11−i−iii11-1-1−i−i−i−iiiii11-1-111-1-11-11-111-1-1-1-111111111-1-1-1-1-1-1−i−i−i−i−i−iiiiiii−i−i−i−i−i−iiiiiii1-1−ii1-1−ii1-1−i−iii−ii1-11-11-1−ii−ii
χ201-1-1111-1-1-11−i−iii11-1-1−i−i−i−iiiii11-1-111-1-11-11-111-1-1-1-111111111-1-1-1-1-1-1−i−i−i−i−i−iiiiiii−i−i−i−i−i−iiiiiii-11i−i1-1−ii1-1−i−iiii−i-11-11-11i−ii−i
χ211-1-1111-1-1-11−i−iii11-1-1−i−i−i−iiiii−1−i32−1+i321+i321−i32−1−i32−1+i321+i321−i321-11-1−1−i32−1+i321+i321+i321−i321−i32−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i321+i321−i321+i321+i321−i321−i32−ζ22−ζ22−ζ22−ζ22−ζ22−ζ22ζ22ζ22ζ22ζ22ζ22ζ22−ζ14−ζ14−ζ14−ζ14−ζ14−ζ14ζ14ζ14ζ14ζ14ζ14ζ141-1−ii1-1−ii1-1−i−iii−ii1-1−1−i321+i32−1+i321−i32−ζ22ζ22−ζ14ζ14
χ221-1-1111-1-1-11−i−iii11-1-1−i−i−i−iiiii−1−i32−1+i321+i321−i32−1−i32−1+i321+i321−i321-11-1−1−i32−1+i321+i321+i321−i321−i32−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i321+i321−i321+i321+i321−i321−i32−ζ22−ζ22−ζ22−ζ22−ζ22−ζ22ζ22ζ22ζ22ζ22ζ22ζ22−ζ14−ζ14−ζ14−ζ14−ζ14−ζ14ζ14ζ14ζ14ζ14ζ14ζ14-11i−i1-1−ii1-1−i−iiii−i-111+i32−1−i321−i32−1+i32ζ22−ζ22ζ14−ζ14
χ231-1-1111-1-1-11−i−iii11-1-1−i−i−i−iiiii−1+i32−1−i321−i321+i32−1+i32−1−i321−i321+i321-11-1−1+i32−1−i321−i321−i321+i321+i32−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i321−i321+i321−i321−i321+i321+i32−ζ14−ζ14−ζ14−ζ14−ζ14−ζ14ζ14ζ14ζ14ζ14ζ14ζ14−ζ22−ζ22−ζ22−ζ22−ζ22−ζ22ζ22ζ22ζ22ζ22ζ22ζ221-1−ii1-1−ii1-1−i−iii−ii1-1−1+i321−i32−1−i321+i32−ζ14ζ14−ζ22ζ22
χ241-1-1111-1-1-11−i−iii11-1-1−i−i−i−iiiii−1+i32−1−i321−i321+i32−1+i32−1−i321−i321+i321-11-1−1+i32−1−i321−i321−i321+i321+i32−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i321−i321+i321−i321−i321+i321+i32−ζ14−ζ14−ζ14−ζ14−ζ14−ζ14ζ14ζ14ζ14ζ14ζ14ζ14−ζ22−ζ22−ζ22−ζ22−ζ22−ζ22ζ22ζ22ζ22ζ22ζ22ζ22-11i−i1-1−ii1-1−i−iiii−i-111−i32−1+i321+i32−1−i32ζ14−ζ14ζ22−ζ22
χ2522222-2-22220000-2-2-2-20000000022222222-2-22222222222-2-2-2-2-2-2-2-2-2-2-2-20000000000000000000000000000-2-200220000000000000000
χ2622222-2-22220000-2-2-2-200000000−1−i3−1+i3−1−i3−1+i3−1−i3−1+i3−1−i3−1+i3-2-222−1−i3−1+i3−1−i3−1−i3−1+i3−1+i3−1−i3−1+i31+i31−i31+i31+i31−i31−i31+i31−i31+i31+i31−i31−i30000000000000000000000000000-2-200220000000000000000
χ2722222-2-22220000-2-2-2-200000000−1+i3−1−i3−1+i3−1−i3−1+i3−1−i3−1+i3−1−i3-2-222−1+i3−1−i3−1+i3−1+i3−1−i3−1−i3−1+i3−1−i31−i31+i31−i31−i31+i31+i31−i31+i31−i31−i31+i31+i30000000000000000000000000000-2-200220000000000000000
χ282222-122-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1222222222222-1-1-1-1-1-1-1-122-1-1-1-122-1-1-1-122-1-1-1-122-1-1-1-122-1-1-1-122-1-1-1-10000-1-122-1-1-1-1-1-1000000000000
χ292222-122-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1−1−i3−1+i3−1−i3−1+i3−1−i3−1+i3−1−i3−1+i322221+i321−i321+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+i32−1−i3−1−i31+i321+i321+i321+i32−1+i3−1+i31−i321−i321−i321−i32−1+i3−1+i31−i321−i321−i321−i320000-1-122-1-1-1-1-1-1000000000000
χ302222-122-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1−1+i3−1−i3−1+i3−1−i3−1+i3−1−i3−1+i3−1−i322221−i321+i321−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−i32−1+i3−1+i31−i321−i321−i321−i32−1−i3−1−i31+i321+i321+i321+i32−1−i3−1−i31+i321+i321+i321+i320000-1-122-1-1-1-1-1-1000000000000
χ312222-122-1-1-1-2-2-2-2-1-1-1-111111111222222222222-1-1-1-1-1-1-1-122-1-1-1-122-1-1-1-1-2-21111-2-21111-2-21111-2-211110000-1-1-2-2-1-11111000000000000
χ322222-122-1-1-1-2-2-2-2-1-1-1-111111111−1−i3−1+i3−1−i3−1+i3−1−i3−1+i3−1−i3−1+i322221+i321−i321+i321+i321−i321−i321+i321−i32−1−i3−1+i31+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−i31−i3−1+i32−1+i32−1+i32−1+i321−i31−i3−1+i32−1+i32−1+i32−1+i320000-1-1-2-2-1-11111000000000000
χ332222-122-1-1-1-2-2-2-2-1-1-1-111111111−1+i3−1−i3−1+i3−1−i3−1+i3−1−i3−1+i3−1−i322221−i321+i321−i321−i321+i321+i321−i321+i32−1+i3−1−i31−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+i31+i3−1−i32−1−i32−1−i32−1−i321+i31+i3−1−i32−1−i32−1−i32−1−i320000-1-1-2-2-1-11111000000000000
χ342222-1-2-2-1-1-10000111133−3−333−3−322222222-2-222-1-1-1-1-1-1-1-1-2-21111-2-211110033−3−30033−3−30033−3−30033−3−300001100-1-13−33−3000000000000
χ352222-1-2-2-1-1-10000111133−3−333−3−3−1−i3−1+i3−1−i3−1+i3−1−i3−1+i3−1−i3−1+i3-2-2221+i321−i321+i321+i321−i321−i321+i321−i321+i31−i3−1−i32−1−i32−1+i32−1+i321+i31−i3−1−i32−1−i32−1+i32−1+i32002ζ14+ζ222ζ14+ζ22−2ζ14−ζ22−2ζ14−ζ22002ζ14+ζ222ζ14+ζ22−2ζ14−ζ22−2ζ14−ζ2200−ζ14−2ζ22−ζ14−2ζ22ζ14+2ζ22ζ14+2ζ2200−ζ14−2ζ22−ζ14−2ζ22ζ14+2ζ22ζ14+2ζ2200001100-1-13−33−3000000000000
χ362222-1-2-2-1-1-10000111133−3−333−3−3−1+i3−1−i3−1+i3−1−i3−1+i3−1−i3−1+i3−1−i3-2-2221−i321+i321−i321−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−ζ14−2ζ22−ζ14−2ζ22ζ14+2ζ22ζ14+2ζ2200−ζ14−2ζ22−ζ14−2ζ22ζ14+2ζ22ζ14+2ζ22002ζ14+ζ222ζ14+ζ22−2ζ14−ζ22−2ζ14−ζ22002ζ14+ζ222ζ14+ζ22−2ζ14−ζ22−2ζ14−ζ2200001100-1-13−33−3000000000000
χ372222-1-2-2-1-1-100001111−3−333−3−33322222222-2-222-1-1-1-1-1-1-1-1-2-21111-2-2111100−3−33300−3−33300−3−33300−3−33300001100-1-1−33−33000000000000
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Here ζ is a primitive root of unity of order 24 (ζ24 = 1); i = ζ6.