Finite Group Databasebeta

← Group #73213

Character table — Group #73213

Order 384.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22
size1133888121216161616242424323232323232
order1222444443366444121212121212
χ11111111111111111111111
χ2111111111−1+i32−1−i32−1+i32−1−i32111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32
χ3111111111−1−i32−1+i32−1−i32−1+i32111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32
χ411111-1-11111111-1-11-1-11-1-1
χ511111-1-111−1+i32−1−i32−1+i32−1−i321-1-1−1+i321−i321−i32−1−i321+i321+i32
χ611111-1-111−1−i32−1+i32−1−i32−1+i321-1-1−1−i321+i321+i32−1+i321−i321−i32
χ71111-11-1111111-11-1-11-1-11-1
χ81111-11-111−1+i32−1−i32−1+i32−1−i32-11-11−i32−1+i321−i321+i32−1−i321+i32
χ91111-11-111−1−i32−1+i32−1−i32−1+i32-11-11+i32−1−i321+i321−i32−1+i321−i32
χ101111-1-11111111-1-11-1-11-1-11
χ111111-1-1111−1+i32−1−i32−1+i32−1−i32-1-111−i321−i32−1+i321+i321+i32−1−i32
χ121111-1-1111−1−i32−1+i32−1−i32−1+i32-1-111+i321+i32−1−i321−i321−i32−1+i32
χ132-22-20002-222-2-2000000000
χ142-22-20002-2−1+i3−1−i31−i31+i3000000000
χ152-22-20002-2−1−i3−1+i31+i31−i3000000000
χ163333333-1-10000-1-1-1000000
χ1733333-3-3-1-10000-111000000
χ183333-33-3-1-100001-11000000
χ193333-3-33-1-1000011-1000000
χ206-66-6000-220000000000000
χ211212-4-4000000000000000000
χ2212-12-44000000000000000000

Here i is the imaginary unit (i² = −1).