Finite Group Databasebeta

← Group #24809

Character table — Group #24809

Order 256.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40
size11222222222444444488888888888888888816161616
order1222244448822448882444888888888888882288
χ11111111111111111111111111111111111111111
χ21111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111-1-1-1-111-1-1-1-111111111-1-1-1-1
χ4111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111
χ511111111111-1-1-1-111111-1-1-1-111-1-11111-1-1-1-111-1-1
χ611111111111-1-1-1-111111-1-1-1-111-1-1-1-1-1-11111-1-111
χ711111111111-1-1-1-1111-1-111-1-1-1-1111111-1-1-1-1-1-111
χ811111111111-1-1-1-1111-1-111-1-1-1-111-1-1-1-1111111-1-1
χ9111111111-1-11111-1-1-111-1-1-1-1-1-11111-1-111-1-11-11-1
χ10111111111-1-11111-1-1-111-1-1-1-1-1-111-1-111-1-111-11-11
χ11111111111-1-11111-1-1-1-1-111-1-111-1-111-1-111-1-1-11-11
χ12111111111-1-11111-1-1-1-1-111-1-111-1-1-1-111-1-1111-11-1
χ13111111111-1-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1-1-1111-1-11
χ14111111111-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-11111-1-1-111-1
χ15111111111-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111-111-1
χ16111111111-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-11111-1-11-1-11
χ17222-2-222-2-20022-2-2000002i−2i002i−2i00000000000000
χ18222-2-222-2-20022-2-200000−2i2i00−2i2i00000000000000
χ19222-2-222-2-200-2-222000002i−2i00−2i2i00000000000000
χ20222-2-222-2-200-2-22200000−2i2i002i−2i00000000000000
χ21222-2-2-2-2222200002-2-200000000002-22-200000000
χ22222-2-2-2-2222200002-2-20000000000-22-2200000000
χ23222-2-2-2-222-2-20000-22200000000002-2-2200000000
χ24222-2-2-2-222-2-20000-2220000000000-222-200000000
χ2522-22-22-22-2220000-22-2000000000000002i−2i2i−2i0000
χ2622-22-22-22-2220000-22-200000000000000−2i2i−2i2i0000
χ2722-22-22-22-2-2-200002-22000000000000002i−2i−2i2i0000
χ2822-22-22-22-2-2-200002-2200000000000000−2i2i2i−2i0000
χ2922-22-2-22-22002-22-20002-20000002-2000000000000
χ3022-22-2-22-22002-22-2000-22000000-22000000000000
χ3122-22-2-22-2200-22-220002-2000000-22000000000000
χ3222-22-2-22-2200-22-22000-220000002-2000000000000
χ3322-2-22-222-2222-2-22-2-2200002-20000000000000000
χ3422-2-22-222-222-222-2-2-220000-220000000000000000
χ3522-2-22-222-2-2-22-2-2222-20000-220000000000000000
χ3622-2-22-222-2-2-2-222-222-200002-20000000000000000
χ3744444-4-4-4-40000000000000000000000000000000
χ3844-4-444-4-440000000000000000000000000000000
χ398-8000000042−4200000000000000000000000000000
χ408-80000000−424200000000000000000000000000000

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