Finite Group Databasebeta

← Group #11921142

Character table — Group #11921142

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42
size1122336688812121212121216161616242424242432323232323232323232727296969696
order12362266412122266663366444121233661212121212124412121212
χ1111111111111111111111111111111111111111111
χ2111111111111111111111-1-11111111111111-1-1-1-1-1-1
χ311111111111111111−1−i32−1+i32−1−i32−1+i3211111−1−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
χ411111111111111111−1−i32−1+i32−1−i32−1+i32-1-1111−1−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
χ511111111111111111−1+i32−1−i32−1+i32−1−i3211111−1+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
χ611111111111111111−1+i32−1−i32−1+i32−1−i32-1-1111−1+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
χ711111111-1-1-111111111111-1-1-1-11111-1-1-1-1-1-11-11-11-1
χ811111111-1-1-11111111111-11-1-1-11111-1-1-1-1-1-1-11-11-11
χ911111111-1-1-1111111−1−i32−1+i32−1−i32−1+i321-1-1-1-1−1−i32−1+i32−1−i32−1+i321+i321−i321+i321+i321−i321−i321-1−1−i321+i32−1+i321−i32
χ1011111111-1-1-1111111−1−i32−1+i32−1−i32−1+i32-11-1-1-1−1−i32−1+i32−1−i32−1+i321+i321−i321+i321+i321−i321−i32-111+i32−1−i321−i32−1+i32
χ1111111111-1-1-1111111−1+i32−1−i32−1+i32−1−i321-1-1-1-1−1+i32−1−i32−1+i32−1−i321−i321+i321−i321−i321+i321+i321-1−1+i321−i32−1−i321+i32
χ1211111111-1-1-1111111−1+i32−1−i32−1+i32−1−i32-11-1-1-1−1+i32−1−i32−1+i32−1−i321−i321+i321−i321−i321+i321+i32-111−i32−1+i321+i32−1−i32
χ1322-1-122-1-12-1-122-1-1-1-12222002-1-1-1-1-1-122-1-1-1-1000000
χ1422-1-122-1-12-1-122-1-1-1-1−1−i3−1+i3−1−i3−1+i3002-1-11+i321−i321+i321−i32−1−i3−1+i31+i321+i321−i321−i32000000
χ1522-1-122-1-12-1-122-1-1-1-1−1+i3−1−i3−1+i3−1−i3002-1-11−i321+i321−i321+i32−1+i3−1−i31−i321−i321+i321+i32000000
χ1622-1-122-1-1-21122-1-1-1-1222200-211-1-1-1-1-2-21111000000
χ1722-1-122-1-1-21122-1-1-1-1−1−i3−1+i3−1−i3−1+i300-2111+i321−i321+i321−i321+i31−i3−1−i32−1−i32−1+i32−1+i32000000
χ1822-1-122-1-1-21122-1-1-1-1−1+i3−1−i3−1+i3−1−i300-2111−i321+i321−i321+i321−i31+i3−1+i32−1+i32−1−i32−1−i32000000
χ192-22-22-22-20002-222-2-222-2-20000022-2-2000000000000
χ202-22-22-22-20002-222-2-2−1−i3−1+i31+i31−i300000−1−i3−1+i31+i31−i3000000000000
χ212-22-22-22-20002-222-2-2−1+i3−1−i31−i31+i300000−1+i3−1−i31−i31+i3000000000000
χ222-2-112-2-1103−32-2-1-11122-2-20003−3-1-111003−33−3000000
χ232-2-112-2-1103−32-2-1-111−1−i3−1+i31+i31−i30003−31+i321−i32−1−i32−1+i32002ζ7+ζ11−2ζ7−ζ11−ζ7−2ζ11ζ7+2ζ11000000
χ242-2-112-2-1103−32-2-1-111−1+i3−1−i31−i31+i30003−31−i321+i32−1+i32−1−i3200−ζ7−2ζ11ζ7+2ζ112ζ7+ζ11−2ζ7−ζ11000000
χ252-2-112-2-110−332-2-1-11122-2-2000−33-1-11100−33−33000000
χ262-2-112-2-110−332-2-1-111−1−i3−1+i31+i31−i3000−331+i321−i32−1−i32−1+i3200−2ζ7−ζ112ζ7+ζ11ζ7+2ζ11−ζ7−2ζ11000000
χ272-2-112-2-110−332-2-1-111−1+i3−1−i31−i31+i3000−331−i321+i32−1+i32−1−i3200ζ7+2ζ11−ζ7−2ζ11−2ζ7−ζ112ζ7+ζ11000000
χ2833333333333-1-1-1-1-1-1000033-1-1-10000000000-1-10000
χ2933333333333-1-1-1-1-1-10000-3-3-1-1-10000000000110000
χ3033333333-3-3-3-1-1-1-1-1-100003-31110000000000-110000
χ3133333333-3-3-3-1-1-1-1-1-10000-3311100000000001-10000
χ3266-3-366-3-36-3-3-2-21111000000-2110000000000000000
χ3366-3-366-3-3-633-2-211110000002-1-10000000000000000
χ346-66-66-66-6000-22-2-2220000000000000000000000000
χ356-6-336-6-33033−33-2211-1-10000000−330000000000000000
χ366-6-336-6-330−3333-2211-1-100000003−30000000000000000
χ3712121212-4-4-4-40000000000000000000000000000000000
χ381212-6-6-4-42200000−2i32i3−2i32i30000000000000000000000000
χ391212-6-6-4-422000002i3−2i32i3−2i30000000000000000000000000
χ4012-1212-12-44-440000000000000000000000000000000000
χ4112-12-66-442-200000−2i32i32i3−2i30000000000000000000000000
χ4212-12-66-442-2000002i3−2i3−2i32i30000000000000000000000000

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