Finite Group Databasebeta

← Group #11921384

Character table — Group #11921384

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45
size112222266121212121212121212121212121216161616242432323232323232323232727296969696
order1234612122422446666612121212123366223366121212121212446666
χ1111111111111111111111111111111111111111111111
χ2111111111111111111111111111-1-11111111111-1-1-1-1-1-1
χ311111111111111111111111−1−i32−1+i32−1−i32−1+i3211−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i3211−1−i32−1−i32−1+i32−1+i32
χ411111111111111111111111−1−i32−1+i32−1−i32−1+i32-1-1−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32-1-11+i321+i321−i321−i32
χ511111111111111111111111−1+i32−1−i32−1+i32−1−i3211−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i3211−1+i32−1+i32−1−i32−1−i32
χ611111111111111111111111−1+i32−1−i32−1+i32−1−i32-1-1−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32-1-11−i321−i321+i321+i32
χ7111-11-1-11-11-11-1111-1-111-1-1-111111-11111-1-1-1-1-1-11-11-11-1
χ8111-11-1-11-11-11-1111-1-111-1-1-11111-111111-1-1-1-1-1-1-11-11-11
χ9111-11-1-11-11-11-1111-1-111-1-1-1−1−i32−1+i32−1−i32−1+i321-1−1−i32−1+i32−1−i32−1+i321+i321−i321+i321+i321−i321−i321-1−1−i321+i32−1+i321−i32
χ10111-11-1-11-11-11-1111-1-111-1-1-1−1−i32−1+i32−1−i32−1+i32-11−1−i32−1+i32−1−i32−1+i321+i321−i321+i321+i321−i321−i32-111+i32−1−i321−i32−1+i32
χ11111-11-1-11-11-11-1111-1-111-1-1-1−1+i32−1−i32−1+i32−1−i321-1−1+i32−1−i32−1+i32−1−i321−i321+i321−i321−i321+i321+i321-1−1+i321−i32−1−i321+i32
χ12111-11-1-11-11-11-1111-1-111-1-1-1−1+i32−1−i32−1+i32−1−i32-11−1+i32−1−i32−1+i32−1−i321−i321+i321−i321−i321+i321+i32-111−i32−1+i321+i32−1−i32
χ1322-12-1-1-1222222-1-1-1-1-1-1-1-1-1-1222200-1-1-1-122-1-1-1-1000000
χ1422-12-1-1-1222222-1-1-1-1-1-1-1-1-1-1−1−i3−1+i3−1−i3−1+i3001+i321−i321+i321−i32−1−i3−1+i31+i321+i321−i321−i32000000
χ1522-12-1-1-1222222-1-1-1-1-1-1-1-1-1-1−1+i3−1−i3−1+i3−1−i3001−i321+i321−i321+i32−1+i3−1−i31−i321−i321+i321+i32000000
χ1622-1-2-1112-22-22-2-1-1-111-1-1111222200-1-1-1-1-2-21111000000
χ1722-1-2-1112-22-22-2-1-1-111-1-1111−1−i3−1+i3−1−i3−1+i3001+i321−i321+i321−i321+i31−i3−1−i32−1−i32−1+i32−1+i32000000
χ1822-1-2-1112-22-22-2-1-1-111-1-1111−1+i3−1−i3−1+i3−1−i3001−i321+i321−i321+i321−i31+i3−1+i32−1+i32−1−i32−1−i32000000
χ19333333333-1-1-1-13-1-1-1-1-1-13-1-10000330000000000-1-10000
χ20333333333-1-1-1-13-1-1-1-1-1-13-1-10000-3-30000000000110000
χ21333-33-3-33-3-11-113-1-111-1-1-31100003-30000000000-110000
χ22333-33-3-33-3-11-113-1-111-1-1-3110000-3300000000001-10000
χ236666666-2-22-2-22-222-2-2-2-2-2220000000000000000000000
χ246666666-2-2-222-2-2-2-22222-2-2-20000000000000000000000
χ25666-66-6-6-2222-2-2-22222-2-22-2-20000000000000000000000
χ26666-66-6-6-22-2-222-2-2-2-2-2222220000000000000000000000
χ2766-36-3-3-366-2-2-2-2-3111111-3110000000000000000000000
χ2866-36-3-3-3-2-22-2-221−1−2i3−1+2i311111−1−2i3−1+2i30000000000000000000000
χ2966-36-3-3-3-2-22-2-221−1+2i3−1−2i311111−1+2i3−1−2i30000000000000000000000
χ3066-36-3-3-3-2-2-222-2111−1−2i3−1+2i3−1−2i3−1+2i31110000000000000000000000
χ3166-36-3-3-3-2-2-222-2111−1+2i3−1−2i3−1+2i3−1−2i31110000000000000000000000
χ3266-3-6-3336-6-22-22-311-1-1113-1-10000000000000000000000
χ3366-3-6-333-2222-2-21−1−2i3−1+2i3-1-111-11+2i31−2i30000000000000000000000
χ3466-3-6-333-2222-2-21−1+2i3−1−2i3-1-111-11−2i31+2i30000000000000000000000
χ3566-3-6-333-22-2-2221111−2i31+2i3−1+2i3−1−2i3-1-1-10000000000000000000000
χ3666-3-6-333-22-2-2221111+2i31−2i3−1−2i3−1+2i3-1-1-10000000000000000000000
χ378-880-800000000000000000022-2-20022-2-2000000000000
χ388-880-8000000000000000000−1−i3−1+i31+i31−i300−1−i3−1+i31+i31−i3000000000000
χ398-880-8000000000000000000−1+i3−1−i31−i31+i300−1+i3−1−i31−i31+i3000000000000
χ408-8-40443−43000000000000000022-2-200-1-111003−33−3000000
χ418-8-40443−430000000000000000−1−i3−1+i31+i31−i3001+i321−i32−1−i32−1+i32002ζ7+ζ11−2ζ7−ζ11−ζ7−2ζ11ζ7+2ζ11000000
χ428-8-40443−430000000000000000−1+i3−1−i31−i31+i3001−i321+i32−1+i32−1−i3200−ζ7−2ζ11ζ7+2ζ112ζ7+ζ11−2ζ7−ζ11000000
χ438-8-404−4343000000000000000022-2-200-1-11100−33−33000000
χ448-8-404−43430000000000000000−1−i3−1+i31+i31−i3001+i321−i32−1−i32−1+i3200−2ζ7−ζ112ζ7+ζ11ζ7+2ζ11−ζ7−2ζ11000000
χ458-8-404−43430000000000000000−1+i3−1−i31−i31+i3001−i321+i32−1+i32−1−i3200ζ7+2ζ11−ζ7−2ζ11−2ζ7−ζ112ζ7+ζ11000000

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