Finite Group Databasebeta

← Group #241652

Character table — Group #241652

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56
size11111111222244444444444488888888161616161616161616161616161616161616161616161616
order12222222444444444444444488888888224444444444444488888888
χ111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111-111-1-1-1-11-1-1-1-1-1-1-11111-1-1-1-1
χ311111111111111111111111111111111-11-1-11-1-1-1-1111111-1-1-1-1-1-1-1-1-1
χ411111111111111111111111111111111-1-1-1-1-1111-1-1-1-1-1-1-11-1-1-1-11111
χ5111111111111111111111111-1-1-1-1-1-1-1-111111111111-1-1-1-11-1-1-1-1-1-1-1-1
χ6111111111111111111111111-1-1-1-1-1-1-1-11-111-1-1-1-11-1-11111-1-1-1-1-11111
χ7111111111111111111111111-1-1-1-1-1-1-1-1-11-1-11-1-1-1-111-1-1-1-1-111111111
χ8111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-1111111111-1-1-1-1
χ911111111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1111-1-111-1-11-111-1-1-111-1-111-1-1
χ1011111111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-11-11-11-1-11-1-11-1-111111-1-1-1-111
χ1111111111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-11-11-1-1-1111-111-1-11-1-111-1-111
χ1211111111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-11111-11-11-1-111-1-1-11111-1-1
χ1311111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111111-1-111-1-11-1-1-111-1-1-111-1-111
χ1411111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111111-11-11-1-11-1-1111-1-11-1-11111-1-1
χ1511111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111-11-11-1-1-1111-1-1-111111-1-111-1-1
χ1611111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-11111-11-1111-1-1-111-1-1-1-111
χ1722222222222222-2-2-2-2-2-222-2-20000000020-2-200002000000000000000
χ1822222222222222-2-2-2-2-2-222-2-200000000-20220000-2000000000000000
χ19222222222222-2-222-2-222-2-2-2-200000000000002-220000000-200000000
χ20222222222222-2-222-2-222-2-2-2-20000000000000-22-20000000200000000
χ21222222222222-2-2-2-222-2-2-2-22200000000020020000-2-20000000000000
χ22222222222222-2-2-2-222-2-2-2-222000000000-200-20000220000000000000
χ2322222222-2-2-2-22222-2-2-2-2-2-222000000000200-20000-220000000000000
χ2422222222-2-2-2-22222-2-2-2-2-2-222000000000-200200002-20000000000000
χ2522222222-2-2-2-222-2-22222-2-2-2-200000000000002-2-20000000200000000
χ2622222222-2-2-2-222-2-22222-2-2-2-20000000000000-2220000000-200000000
χ2722222222-2-2-2-2-2-22222-2-222-2-20000000020-220000-2000000000000000
χ2822222222-2-2-2-2-2-22222-2-222-2-200000000-202-200002000000000000000
χ2922-22-2-22-22i2i−2i−2i2i−2i2i−2i2i−2i2-22-22-200000000000000000000000000002i−2i2-2
χ3022-22-2-22-22i2i−2i−2i2i−2i2i−2i2i−2i2-22-22-20000000000000000000000000000−2i2i-22
χ3122-22-2-22-22i2i−2i−2i2i−2i−2i2i−2i2i-222-2-2200000000000000000002i−2i2-2000000000
χ3222-22-2-22-22i2i−2i−2i2i−2i−2i2i−2i2i-222-2-220000000000000000000−2i2i-22000000000
χ3322-22-2-22-22i2i−2i−2i−2i2i2i−2i−2i2i2-2-22-222i2i−2i−2i22-2-2000000000000000000000000
χ3422-22-2-22-22i2i−2i−2i−2i2i2i−2i−2i2i2-2-22-22−2i−2i2i2i-2-222000000000000000000000000
χ3522-22-2-22-22i2i−2i−2i−2i2i−2i2i2i−2i-22-222-20000000000000000000000002-22i−2i0000
χ3622-22-2-22-22i2i−2i−2i−2i2i−2i2i2i−2i-22-222-2000000000000000000000000-22−2i2i0000
χ3722-22-2-22-2−2i−2i2i2i2i−2i2i−2i−2i2i-22-222-20000000000000000000000002-2−2i2i0000
χ3822-22-2-22-2−2i−2i2i2i2i−2i2i−2i−2i2i-22-222-2000000000000000000000000-222i−2i0000
χ3922-22-2-22-2−2i−2i2i2i2i−2i−2i2i2i−2i2-2-22-222i2i−2i−2i-2-222000000000000000000000000
χ4022-22-2-22-2−2i−2i2i2i2i−2i−2i2i2i−2i2-2-22-22−2i−2i2i2i22-2-2000000000000000000000000
χ4122-22-2-22-2−2i−2i2i2i−2i2i2i−2i2i−2i-222-2-2200000000000000000002i−2i-22000000000
χ4222-22-2-22-2−2i−2i2i2i−2i2i2i−2i2i−2i-222-2-220000000000000000000−2i2i2-2000000000
χ4322-22-2-22-2−2i−2i2i2i−2i2i−2i2i−2i2i2-22-22-200000000000000000000000000002i−2i-22
χ4422-22-2-22-2−2i−2i2i2i−2i2i−2i2i−2i2i2-22-22-20000000000000000000000000000−2i2i2-2
χ454-44-44-44-44i−4i4i−4i0000000000002i−2i2i−2i2-22-2000000000000000000000000
χ464-44-44-44-44i−4i4i−4i000000000000−2i2i−2i2i-22-22000000000000000000000000
χ474-44-44-44-4−4i4i−4i4i0000000000002i−2i2i−2i-22-22000000000000000000000000
χ484-44-44-44-4−4i4i−4i4i000000000000−2i2i−2i2i2-22-2000000000000000000000000
χ494-4-4-4-44444-4-440000000000002-2-222-2-22000000000000000000000000
χ504-4-4-4-44444-4-44000000000000-222-2-222-2000000000000000000000000
χ514-4-4-4-4444-444-40000000000002-2-22-222-2000000000000000000000000
χ524-4-4-4-4444-444-4000000000000-222-22-2-22000000000000000000000000
χ53888-8-8-8-88000000000000000000000000000000000000000000000000
χ5488-8-888-8-8000000000000000000000000000000000000000000000000
χ558-888-88-8-8000000000000000000000000000000000000000000000000
χ568-8-888-8-88000000000000000000000000000000000000000000000000

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