Finite Group Databasebeta

← Group #843

Character table — Group #843

Order 96.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33
size112224444441122244444411222444444
order122442288883661212662424242436612126624242424
χ1111111111111111111111111111111111
χ21111111-1-1-1-11111111-1-1-1-11111111-1-1-1-1
χ311111-1-111-1-111111-1-111-1-111111-1-111-1-1
χ411111-1-1-1-11111111-1-1-1-11111111-1-1-1-111
χ5111-1-11-1i−ii−i111-1-11-1i−ii−i111-1-11-1i−ii−i
χ6111-1-11-1−ii−ii111-1-11-1−ii−ii111-1-11-1−ii−ii
χ7111-1-1-11i−i−ii111-1-1-11i−i−ii111-1-1-11i−i−ii
χ8111-1-1-11−iii−i111-1-1-11−iii−i111-1-1-11−iii−i
χ922-22-200000022-22-200000022-22-2000000
χ1022-2-2200000022-2-2200000022-2-22000000
χ114-40000000004-40000000004-4000000000
χ1211111111111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32
χ131111111-1-1-1-1−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32
χ1411111-1-111-1-1−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32
χ1511111-1-1-1-111−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32
χ16111-1-11-1i−ii−i−1+i32−1+i32−1+i321−i321−i32−1+i321−i32ζ7−ζ7ζ7−ζ7−1−i32−1−i32−1−i321+i321+i32−1−i321+i32ζ11−ζ11ζ11−ζ11
χ17111-1-11-1−ii−ii−1+i32−1+i32−1+i321−i321−i32−1+i321−i32−ζ7ζ7−ζ7ζ7−1−i32−1−i32−1−i321+i321+i32−1−i321+i32−ζ11ζ11−ζ11ζ11
χ18111-1-1-11i−i−ii−1+i32−1+i32−1+i321−i321−i321−i32−1+i32ζ7−ζ7−ζ7ζ7−1−i32−1−i32−1−i321+i321+i321+i32−1−i32ζ11−ζ11−ζ11ζ11
χ19111-1-1-11−iii−i−1+i32−1+i32−1+i321−i321−i321−i32−1+i32−ζ7ζ7ζ7−ζ7−1−i32−1−i32−1−i321+i321+i321+i32−1−i32−ζ11ζ11ζ11−ζ11
χ2022-22-2000000−1+i3−1+i31−i3−1+i31−i3000000−1−i3−1−i31+i3−1−i31+i3000000
χ2122-2-22000000−1+i3−1+i31−i31−i3−1+i3000000−1−i3−1−i31+i31+i3−1−i3000000
χ224-4000000000−2+2i32−2i3000000000−2−2i32+2i3000000000
χ2311111111111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32
χ241111111-1-1-1-1−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32
χ2511111-1-111-1-1−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32
χ2611111-1-1-1-111−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32
χ27111-1-11-1i−ii−i−1−i32−1−i32−1−i321+i321+i32−1−i321+i32ζ11−ζ11ζ11−ζ11−1+i32−1+i32−1+i321−i321−i32−1+i321−i32ζ7−ζ7ζ7−ζ7
χ28111-1-11-1−ii−ii−1−i32−1−i32−1−i321+i321+i32−1−i321+i32−ζ11ζ11−ζ11ζ11−1+i32−1+i32−1+i321−i321−i32−1+i321−i32−ζ7ζ7−ζ7ζ7
χ29111-1-1-11i−i−ii−1−i32−1−i32−1−i321+i321+i321+i32−1−i32ζ11−ζ11−ζ11ζ11−1+i32−1+i32−1+i321−i321−i321−i32−1+i32ζ7−ζ7−ζ7ζ7
χ30111-1-1-11−iii−i−1−i32−1−i32−1−i321+i321+i321+i32−1−i32−ζ11ζ11ζ11−ζ11−1+i32−1+i32−1+i321−i321−i321−i32−1+i32−ζ7ζ7ζ7−ζ7
χ3122-22-2000000−1−i3−1−i31+i3−1−i31+i3000000−1+i3−1+i31−i3−1+i31−i3000000
χ3222-2-22000000−1−i3−1−i31+i31+i3−1−i3000000−1+i3−1+i31−i31−i3−1+i3000000
χ334-4000000000−2−2i32+2i3000000000−2+2i32−2i3000000000

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