Finite Group Databasebeta

← Group #11921139

Character table — Group #11921139

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48
size1122222336666612121212121212121212121216161616242432323232323232323232727296969696
order123461212224661212444412121212121212123366223366121212121212446666
χ1111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111-1-11111111111-1-1-1-1-1-1
χ311111111111111111111111111−1−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
χ411111111111111111111111111−1−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
χ511111111111111111111111111−1+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
χ611111111111111111111111111−1+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
χ7111-11-1-111-111-1-111-1-11111-1-1-1-111111-11111-1-1-1-1-1-11-11-11-1
χ8111-11-1-111-111-1-111-1-11111-1-1-1-11111-111111-1-1-1-1-1-1-11-11-11
χ9111-11-1-111-111-1-111-1-11111-1-1-1-1−1−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
χ10111-11-1-111-111-1-111-1-11111-1-1-1-1−1−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
χ11111-11-1-111-111-1-111-1-11111-1-1-1-1−1+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
χ12111-11-1-111-111-1-111-1-11111-1-1-1-1−1+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
χ1322-12-1-1-1222-1-1-1-12222-1-1-1-1-1-1-1-1222200-1-1-1-122-1-1-1-1000000
χ1422-12-1-1-1222-1-1-1-12222-1-1-1-1-1-1-1-1−1−i3−1+i3−1−i3−1+i3001+i321−i321+i321−i32−1−i3−1+i31+i321+i321−i321−i32000000
χ1522-12-1-1-1222-1-1-1-12222-1-1-1-1-1-1-1-1−1+i3−1−i3−1+i3−1−i3001−i321+i321−i321+i32−1+i3−1−i31−i321−i321+i321+i32000000
χ1622-1-2-11122-2-1-11122-2-2-1-1-1-11111222200-1-1-1-1-2-21111000000
χ1722-1-2-11122-2-1-11122-2-2-1-1-1-11111−1−i3−1+i3−1−i3−1+i3001+i321−i321+i321−i321+i31−i3−1−i32−1−i32−1+i32−1+i32000000
χ1822-1-2-11122-2-1-11122-2-2-1-1-1-11111−1+i3−1−i3−1+i3−1−i3001−i321+i321−i321+i321−i31+i3−1+i32−1+i32−1−i32−1−i32000000
χ1933333333333333-1-1-1-1-1-1-1-1-1-1-1-10000330000000000-1-10000
χ2033333333333333-1-1-1-1-1-1-1-1-1-1-1-10000-3-30000000000110000
χ21333-33-3-333-333-3-3-1-111-1-1-1-1111100003-30000000000-110000
χ22333-33-3-333-333-3-3-1-111-1-1-1-111110000-3300000000001-10000
χ234-440-4004-404-400000000000000-2-22200-2-222000000000000
χ244-440-4004-404-4000000000000001+i31−i3−1−i3−1+i3001+i31−i3−1−i3−1+i3000000000000
χ254-440-4004-404-4000000000000001−i31+i3−1+i3−1−i3001−i31+i3−1+i3−1−i3000000000000
χ264-4-20223−234-40-2223−23000000000000-2-2220011-1-1003−33−3000000
χ274-4-20223−234-40-2223−230000000000001+i31−i3−1−i3−1+i300−1−i32−1+i321+i321−i32002ζ7+ζ11−2ζ7−ζ11−ζ7−2ζ11ζ7+2ζ11000000
χ284-4-20223−234-40-2223−230000000000001−i31+i3−1+i3−1−i300−1+i32−1−i321−i321+i3200−ζ7−2ζ11ζ7+2ζ112ζ7+ζ11−2ζ7−ζ11000000
χ294-4-202−23234-40-22−2323000000000000-2-2220011-1-100−33−33000000
χ304-4-202−23234-40-22−23230000000000001+i31−i3−1−i3−1+i300−1−i32−1+i321+i321−i3200−2ζ7−ζ112ζ7+ζ11ζ7+2ζ11−ζ7−2ζ11000000
χ314-4-202−23234-40-22−23230000000000001−i31+i3−1+i3−1−i300−1+i32−1−i321−i321+i3200ζ7+2ζ11−ζ7−2ζ11−2ζ7−ζ112ζ7+ζ11000000
χ326666666-2-2-2-2-2-2-22-22-222-2-222-2-20000000000000000000000
χ336666666-2-2-2-2-2-2-2-22-22-2-222-2-2220000000000000000000000
χ34666-66-6-6-2-22-2-2222-2-2222-2-2-2-2220000000000000000000000
χ35666-66-6-6-2-22-2-222-222-2-2-22222-2-20000000000000000000000
χ3666-36-3-3-3666-3-3-3-3-2-2-2-2111111110000000000000000000000
χ3766-36-3-3-3-2-2-211112-22-2-1-11+231−23-1-11+231−230000000000000000000000
χ3866-36-3-3-3-2-2-211112-22-2-1-11−231+23-1-11−231+230000000000000000000000
χ3966-36-3-3-3-2-2-21111-22-221+231−23-1-11+231−23-1-10000000000000000000000
χ4066-36-3-3-3-2-2-21111-22-221−231+23-1-11−231+23-1-10000000000000000000000
χ4166-3-6-33366-6-3-333-2-2221111-1-1-1-10000000000000000000000
χ4266-3-6-333-2-2211-1-12-2-22-1-11+231−2311−1−23−1+230000000000000000000000
χ4366-3-6-333-2-2211-1-12-2-22-1-11−231+2311−1+23−1−230000000000000000000000
χ4466-3-6-333-2-2211-1-1-222-21+231−23-1-1−1−23−1+23110000000000000000000000
χ4566-3-6-333-2-2211-1-1-222-21−231+23-1-1−1+23−1−23110000000000000000000000
χ4612-12120-1200-440-44000000000000000000000000000000000000
χ4712-12-60663−63-4402-2−23230000000000000000000000000000000000
χ4812-12-606−6363-4402-223−230000000000000000000000000000000000

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