Finite Group Databasebeta

← Group #29558

Character table — Group #29558

Order 256.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46
size11111111222222224444444444888888888888888816161616
order1222222244444444444444444422444444888888882244
χ11111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1
χ411111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ5111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11-11-1
χ6111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-11-11
χ7111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-11-11
χ8111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111-11-1
χ911111111-1-1-1-11111-1-11111-1-1-1-111-1-111-1-111-1-111-1-11-1-11
χ1011111111-1-1-1-11111-1-11111-1-1-1-111-1-111-1-1-1-111-1-111-111-1
χ1111111111-1-1-1-11111-1-11111-1-1-1-1-1-111-1-11111-1-111-1-1-111-1
χ1211111111-1-1-1-11111-1-11111-1-1-1-1-1-111-1-111-1-111-1-1111-1-11
χ1311111111-1-1-1-11111-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-11111-1-1
χ1411111111-1-1-1-11111-1-1-1-1-1-1111111-1-1-1-111-1-11111-1-1-1-111
χ1511111111-1-1-1-11111-1-1-1-1-1-11111-1-11111-1-111-1-1-1-111-1-111
χ1611111111-1-1-1-11111-1-1-1-1-1-11111-1-11111-1-1-1-11111-1-111-1-1
χ17222222222222-2-2-2-2-2-222-2-2-2-22200000000000000000000
χ18222222222222-2-2-2-2-2-2-2-22222-2-200000000000000000000
χ1922222222-2-2-2-2-2-2-2-22222-2-222-2-200000000000000000000
χ2022222222-2-2-2-2-2-2-2-222-2-222-2-22200000000000000000000
χ21222-22-2-2-2000022-2-2002i−2i2i−2i0000002-2002i−2i000000000000
χ22222-22-2-2-2000022-2-2002i−2i2i−2i000000-2200−2i2i000000000000
χ23222-22-2-2-2000022-2-200−2i2i−2i2i0000002-200−2i2i000000000000
χ24222-22-2-2-2000022-2-200−2i2i−2i2i000000-22002i−2i000000000000
χ25222-22-2-2-20000-2-222002i−2i−2i2i00002-2002i−2i00000000000000
χ26222-22-2-2-20000-2-222002i−2i−2i2i0000-2200−2i2i00000000000000
χ27222-22-2-2-20000-2-22200−2i2i2i−2i00002-200−2i2i00000000000000
χ28222-22-2-2-20000-2-22200−2i2i2i−2i0000-22002i−2i00000000000000
χ2922-22-22-2-22i2i−2i−2i2-22-22i−2i000000000000000000002i−2i2-20000
χ3022-22-22-2-22i2i−2i−2i2-22-22i−2i00000000000000000000−2i2i-220000
χ3122-22-22-2-22i2i−2i−2i-22-22−2i2i00000000000000002-22i−2i00000000
χ3222-22-22-2-22i2i−2i−2i-22-22−2i2i0000000000000000-22−2i2i00000000
χ3322-22-22-2-2−2i−2i2i2i2-22-2−2i2i000000000000000000002i−2i-220000
χ3422-22-22-2-2−2i−2i2i2i2-22-2−2i2i00000000000000000000−2i2i2-20000
χ3522-22-22-2-2−2i−2i2i2i-22-222i−2i00000000000000002-2−2i2i00000000
χ3622-22-22-2-2−2i−2i2i2i-22-222i−2i0000000000000000-222i−2i00000000
χ3744-4-4-4-44400004-4-44000000000000000000000000000000
χ3844-4-4-4-4440000-444-4000000000000000000000000000000
χ394-444-4-44-44i−4i4i−4i0000000000000000000000000000000000
χ404-444-4-44-4−4i4i−4i4i0000000000000000000000000000000000
χ414-44-4-44-4400000000000000004-400000000000000000000
χ424-44-4-44-440000000000000000-4400000000000000000000
χ434-4-444-4-444-4-440000000000000000000000000000000000
χ444-4-444-4-44-444-40000000000000000000000000000000000
χ454-4-4-4444-4000000000000004-40000000000000000000000
χ464-4-4-4444-400000000000000-440000000000000000000000

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