Finite Group Databasebeta

← Group #72235728

Character table — Group #72235728

Order 1536.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40
size113333333333121212121212121224242424242424242424242424242424256256256256
order1222222222224444444444444444444444443366
χ11111111111111111111111111111111111111111
χ2111111111111111111111111111111111111−1−i32−1+i32−1−i32−1+i32
χ3111111111111111111111111111111111111−1+i32−1−i32−1+i32−1−i32
χ42-22222-2-22-2-2-22222-2-2-2-20000000000000000-1-111
χ52-22222-2-22-2-2-22222-2-2-2-200000000000000001+i321−i32−1−i32−1+i32
χ62-22222-2-22-2-2-22222-2-2-2-200000000000000001−i321+i32−1+i32−1−i32
χ733333333333333333333-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000
χ8333333333333-1-1-1-1-1-1-1-13333-1-1-1-1-1-1-1-1-1-1-1-10000
χ9333333333333-1-1-1-1-1-1-1-1-1-1-1-13333-1-1-1-1-1-1-1-10000
χ10333333333333-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-13333-1-1-1-10000
χ11333333333333-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-133330000
χ12333-1-1-1-1-1-13-1-111−1+2i−1−2i11−1+2i−1−2i11−1+2i−1−2i3-1-1-111−1+2i−1−2i11−1+2i−1−2i0000
χ13333-1-1-1-1-1-13-1-111−1+2i−1−2i11−1+2i−1−2i11−1−2i−1+2i-13-1-1−1+2i−1−2i11−1+2i−1−2i110000
χ14333-1-1-1-1-1-13-1-111−1+2i−1−2i11−1+2i−1−2i−1+2i−1−2i11-1-13-111−1−2i−1+2i−1−2i−1+2i110000
χ15333-1-1-1-1-1-13-1-111−1+2i−1−2i11−1+2i−1−2i−1−2i−1+2i11-1-1-13−1−2i−1+2i1111−1−2i−1+2i0000
χ16333-1-1-1-1-1-13-1-111−1−2i−1+2i11−1−2i−1+2i11−1+2i−1−2i-13-1-1−1−2i−1+2i11−1−2i−1+2i110000
χ17333-1-1-1-1-1-13-1-111−1−2i−1+2i11−1−2i−1+2i11−1−2i−1+2i3-1-1-111−1−2i−1+2i11−1−2i−1+2i0000
χ18333-1-1-1-1-1-13-1-111−1−2i−1+2i11−1−2i−1+2i−1+2i−1−2i11-1-1-13−1+2i−1−2i1111−1+2i−1−2i0000
χ19333-1-1-1-1-1-13-1-111−1−2i−1+2i11−1−2i−1+2i−1−2i−1+2i11-1-13-111−1+2i−1−2i−1+2i−1−2i110000
χ20333-1-1-1-1-1-13-1-1−1+2i−1−2i11−1+2i−1−2i1111−1+2i−1−2i-1-13-1−1+2i−1−2i1111−1−2i−1+2i0000
χ21333-1-1-1-1-1-13-1-1−1+2i−1−2i11−1+2i−1−2i1111−1−2i−1+2i-1-1-1311−1+2i−1−2i−1−2i−1+2i110000
χ22333-1-1-1-1-1-13-1-1−1+2i−1−2i11−1+2i−1−2i11−1+2i−1−2i113-1-1-1−1−2i−1+2i11−1+2i−1−2i110000
χ23333-1-1-1-1-1-13-1-1−1+2i−1−2i11−1+2i−1−2i11−1−2i−1+2i11-13-1-111−1−2i−1+2i11−1+2i−1−2i0000
χ24333-1-1-1-1-1-13-1-1−1−2i−1+2i11−1−2i−1+2i1111−1+2i−1−2i-1-1-1311−1−2i−1+2i−1+2i−1−2i110000
χ25333-1-1-1-1-1-13-1-1−1−2i−1+2i11−1−2i−1+2i1111−1−2i−1+2i-1-13-1−1−2i−1+2i1111−1+2i−1−2i0000
χ26333-1-1-1-1-1-13-1-1−1−2i−1+2i11−1−2i−1+2i11−1+2i−1−2i11-13-1-111−1+2i−1−2i11−1−2i−1+2i0000
χ27333-1-1-1-1-1-13-1-1−1−2i−1+2i11−1−2i−1+2i11−1−2i−1+2i113-1-1-1−1+2i−1−2i11−1−2i−1+2i110000
χ286-66666-6-66-6-6-6-2-2-2-2222200000000000000000000
χ296-66-2-2-222-2-62222−2+4i−2−4i-2-22−4i2+4i00000000000000000000
χ306-66-2-2-222-2-62222−2−4i−2+4i-2-22+4i2−4i00000000000000000000
χ316-66-2-2-222-2-622−2+4i−2−4i222−4i2+4i-2-200000000000000000000
χ326-66-2-2-222-2-622−2−4i−2+4i222+4i2−4i-2-200000000000000000000
χ331212-412-4-412-4-4-4-4-40000000000000000000000000000
χ341212-4-412-4-412-4-4-4-40000000000000000000000000000
χ351212-4-4-412-4-4-4-4-4120000000000000000000000000000
χ361212-4-4-4-4-4-412-412-40000000000000000000000000000
χ3712-12-412-4-4-124-44440000000000000000000000000000
χ3812-12-4-412-44-12-44440000000000000000000000000000
χ3912-12-4-4-41244-444-120000000000000000000000000000
χ4012-12-4-4-4-444124-1240000000000000000000000000000

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