Finite Group Databasebeta

← Group #72210004

Character table — Group #72210004

Order 1536.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40
size133333466666666121212121224242424242424242424242424242424256256256256
order1244442224444442444488888888888888883366
χ11111111111111111111111111111111111111111
χ2111111111111111111111111111111111111−1−i32−1+i32−1−i32−1+i32
χ3111111111111111111111111111111111111−1+i32−1−i32−1+i32−1−i32
χ4222222-2-2-2-2-2-2-2-2-22222-20000000000000000-1-111
χ5222222-2-2-2-2-2-2-2-2-22222-200000000000000001+i321−i32−1−i32−1+i32
χ6222222-2-2-2-2-2-2-2-2-22222-200000000000000001−i321+i32−1+i32−1−i32
χ733333333333333333333-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000
χ83333333-1-1-1-1-1-1-1-1-1-1-1-1311111111−1+2i−1+2i−1+2i−1+2i−1−2i−1−2i−1−2i−1−2i0000
χ93333333-1-1-1-1-1-1-1-1-1-1-1-1311111111−1−2i−1−2i−1−2i−1−2i−1+2i−1+2i−1+2i−1+2i0000
χ103333333-1-1-1-1-1-1-1-1-1-1-1-13−1+2i−1+2i−1+2i−1+2i−1−2i−1−2i−1−2i−1−2i111111110000
χ113333333-1-1-1-1-1-1-1-1-1-1-1-13−1−2i−1−2i−1−2i−1−2i−1+2i−1+2i−1+2i−1+2i111111110000
χ1233-1-1-1-1333-1-1-1-1-1-13-1-1-1-111−1+2i−1−2i11−1+2i−1−2i11−1+2i−1−2i11−1+2i−1−2i0000
χ1333-1-1-1-1333-1-1-1-1-1-13-1-1-1-111−1−2i−1+2i11−1−2i−1+2i11−1−2i−1+2i11−1−2i−1+2i0000
χ1433-1-1-1-1333-1-1-1-1-1-13-1-1-1-1−1+2i−1−2i11−1+2i−1−2i11−1+2i−1−2i11−1+2i−1−2i110000
χ1533-1-1-1-1333-1-1-1-1-1-13-1-1-1-1−1−2i−1+2i11−1−2i−1+2i11−1−2i−1+2i11−1−2i−1+2i110000
χ1633-1-1-1-13-1-133-1-1-1-1-13-1-1-11−1+2i1−1−2i−1−2i1−1+2i11−1−2i1−1+2i−1+2i1−1−2i10000
χ1733-1-1-1-13-1-133-1-1-1-1-13-1-1-11−1−2i1−1+2i−1+2i1−1−2i11−1+2i1−1−2i−1−2i1−1+2i10000
χ1833-1-1-1-13-1-133-1-1-1-1-13-1-1-1−1+2i1−1−2i11−1−2i1−1+2i−1−2i1−1+2i11−1+2i1−1−2i0000
χ1933-1-1-1-13-1-133-1-1-1-1-13-1-1-1−1−2i1−1+2i11−1+2i1−1−2i−1+2i1−1−2i11−1−2i1−1+2i0000
χ2033-1-1-1-13-1-1-1-133-1-1-1-13-1-11−1+2i−1−2i1−1−2i11−1+2i−1+2i11−1−2i1−1−2i−1+2i10000
χ2133-1-1-1-13-1-1-1-133-1-1-1-13-1-11−1−2i−1+2i1−1+2i11−1−2i−1−2i11−1+2i1−1+2i−1−2i10000
χ2233-1-1-1-13-1-1-1-133-1-1-1-13-1-1−1+2i11−1−2i1−1−2i−1+2i11−1+2i−1−2i1−1−2i11−1+2i0000
χ2333-1-1-1-13-1-1-1-133-1-1-1-13-1-1−1−2i11−1+2i1−1+2i−1−2i11−1−2i−1+2i1−1+2i11−1−2i0000
χ2433-1-1-1-13-1-1-1-1-1-133-1-1-13-13-1-1-1-13-1-1-1-1-13-1-13-10000
χ2533-1-1-1-13-1-1-1-1-1-133-1-1-13-1-13-1-13-1-1-1-1-13-1-1-1-130000
χ2633-1-1-1-13-1-1-1-1-1-133-1-1-13-1-1-13-1-1-1-13-13-1-13-1-1-10000
χ2733-1-1-1-13-1-1-1-1-1-133-1-1-13-1-1-1-13-1-13-13-1-1-1-13-1-10000
χ28666666-622222222-2-2-2-2-600000000000000000000
χ2966-2-2-2-2-6222222-6-6-2-2-26200000000000000000000
χ3066-2-2-2-2-62222-6-622-2-26-2200000000000000000000
χ3166-2-2-2-2-622-6-62222-26-2-2200000000000000000000
χ3266-2-2-2-2-6-6-62222226-2-2-2200000000000000000000
χ3312-444−4+8i−4−8i04-44i−4i4i−4i4-40000000000000000000000000
χ3412-444−4+8i−4−8i0-44−4i4i−4i4i-440000000000000000000000000
χ3512-444−4−8i−4+8i04-4−4i4i−4i4i4-40000000000000000000000000
χ3612-444−4−8i−4+8i0-444i−4i4i−4i-440000000000000000000000000
χ3712-4−4+8i−4−8i4404-44i−4i−4i4i-440000000000000000000000000
χ3812-4−4+8i−4−8i440-44−4i4i4i−4i4-40000000000000000000000000
χ3912-4−4−8i−4+8i4404-4−4i4i4i−4i-440000000000000000000000000
χ4012-4−4−8i−4+8i440-444i−4i−4i4i4-40000000000000000000000000

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