Finite Group Databasebeta

← Group #265515

Character table — Group #265515

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56
size11111111222244444444444488888888161616161616161616161616161616161616161616161616
order12222222222244444444444422444444224444444444444488888888
χ111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111-1-11111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1
χ411111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ5111111111111111111-1-1-1-11111-1-1-1-1-1-11111-1-1-1-111-1-111-1-11111-1-1-1-1
χ6111111111111111111-1-1-1-11111-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-1-1-11111
χ7111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-11111-1-1-1-111-1-1-1-11111
χ8111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-111-1-1111111-1-1-1-1
χ911111111111111-1-1-1-1111111-1-111-1-1-1-11111-1-111-1-111-1-1-1-111-1-111-1-1
χ1011111111111111-1-1-1-1111111-1-111-1-1-1-111-1-1111111-1-1-1-1-1-1-1-111-1-111
χ1111111111111111-1-1-1-1111111-1-111-1-1-1-1-1-111-1-1-1-1-1-1111111-1-111-1-111
χ1211111111111111-1-1-1-1111111-1-111-1-1-1-1-1-1-1-111-1-111-1-1111111-1-111-1-1
χ1311111111111111-1-1-1-1-1-1-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-11111-1-1-1-111
χ1411111111111111-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-1-1-11111-1-111-1-11111-1-1
χ1511111111111111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1111111-1-1-1-111-1-1-1-11111-1-1
χ1611111111111111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-111111111-1-111-1-1-1-111
χ17222222222222-2-222222222-2-2-2-2-2-222-2-2000000000000000000000000
χ18222222222222-2-22222-2-2-2-2-2-2-2-222-2-222000000000000000000000000
χ19222222222222-2-2-2-2-2-22222-2-222-2-2-2-222000000000000000000000000
χ20222222222222-2-2-2-2-2-2-2-2-2-2-2-2222222-2-2000000000000000000000000
χ2122222222-2-2-2-22-2000022-2-22-2002-2000000002-2002-200000000000000
χ2222222222-2-2-2-22-2000022-2-22-2002-200000000-2200-2200000000000000
χ2322222222-2-2-2-22-20000-2-2222-200-22000000002-200-2200000000000000
χ2422222222-2-2-2-22-20000-2-2222-200-2200000000-22002-200000000000000
χ2522222222-2-2-2-2-22000022-2-2-2200-220000002-20000002-2000000000000
χ2622222222-2-2-2-2-22000022-2-2-2200-22000000-22000000-22000000000000
χ2722222222-2-2-2-2-220000-2-222-22002-20000002-2000000-22000000000000
χ2822222222-2-2-2-2-220000-2-222-22002-2000000-220000002-2000000000000
χ292222-2-2-2-22-22-22222-2-20000-2-22-20000002-200000000002-20000000000
χ302222-2-2-2-22-22-22222-2-20000-2-22-2000000-220000000000-220000000000
χ312222-2-2-2-22-22-222-2-2220000-2-2-220000002-20000000000-220000000000
χ322222-2-2-2-22-22-222-2-2220000-2-2-22000000-2200000000002-20000000000
χ332222-2-2-2-22-22-2-2-222-2-2000022-220000000000002i−2i0000002i−2i00000000
χ342222-2-2-2-22-22-2-2-222-2-2000022-22000000000000−2i2i000000−2i2i00000000
χ352222-2-2-2-22-22-2-2-2-2-2220000222-20000000000002i−2i000000−2i2i00000000
χ362222-2-2-2-22-22-2-2-2-2-2220000222-2000000000000−2i2i0000002i−2i00000000
χ3722-2-222-2-22-2-22002i−2i2i−2i2i−2i2i−2i0000002-20000000000000000002−2i2−i2i2−i22−2
χ3822-2-222-2-22-2-22002i−2i2i−2i2i−2i2i−2i0000002-2000000000000000000−22−i2i2−i2i2−22
χ3922-2-222-2-22-2-22002i−2i2i−2i−2i2i−2i2i000000-220000000000000000002−2i2−i2−i2i2−22
χ4022-2-222-2-22-2-22002i−2i2i−2i−2i2i−2i2i000000-22000000000000000000−22−i2i2i2−i22−2
χ4122-2-222-2-22-2-2200−2i2i−2i2i2i−2i2i−2i000000-220000000000000000002−2−i2i2i2−i2−22
χ4222-2-222-2-22-2-2200−2i2i−2i2i2i−2i2i−2i000000-22000000000000000000−22i2−i2−i2i22−2
χ4322-2-222-2-22-2-2200−2i2i−2i2i−2i2i−2i2i0000002-20000000000000000002−2−i2i2−i2i22−2
χ4422-2-222-2-22-2-2200−2i2i−2i2i−2i2i−2i2i0000002-2000000000000000000−22i2−i2i2−i2−22
χ454444-4-4-4-4-44-444-400000000-4400000000000000000000000000000000
χ464444-4-4-4-4-44-44-44000000004-400000000000000000000000000000000
χ4744-4-444-4-4-444-40000004i−4i−4i4i0000000000000000000000000000000000
χ4844-4-444-4-4-444-4000000−4i4i4i−4i0000000000000000000000000000000000
χ4944-4-4-4-44444-4-4004i−4i−4i4i00000000000000000000000000000000000000
χ5044-4-4-4-44444-4-400−4i4i4i−4i00000000000000000000000000000000000000
χ5144-4-4-4-444-4-4440000000000000000004-4000000000000000000000000
χ5244-4-4-4-444-4-444000000000000000000-44000000000000000000000000
χ538-88-88-88-8000000000000000000000000000000000000000000000000
χ548-88-8-88-88000000000000000000000000000000000000000000000000
χ558-8-888-8-88000000000000000000000000000000000000000000000000
χ568-8-88-888-8000000000000000000000000000000000000000000000000

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