Finite Group Databasebeta

← Group #259604

Character table — Group #259604

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56
size11111111222244444444444488888888161616161616161616161616161616161616161616161616
order12222222222244444444444422444444224444444444444488888888
χ111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ411111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ51111111111111111-1-1-1-11111-1-111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1
χ61111111111111111-1-1-1-11111-1-111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111
χ71111111111111111-1-1-1-11111-1-111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111
χ81111111111111111-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1
χ9111111111111-1-1-1-111111111-1-1-1-111-1-111-1-111-1-111-1-111-1-111-1-111-1-1
χ10111111111111-1-1-1-111111111-1-1-1-111-1-111-1-1-1-111-1-11111-1-1-1-111-1-111
χ11111111111111-1-1-1-111111111-1-1-1-111-1-1-1-11111-1-111-1-1-1-111-1-111-1-111
χ12111111111111-1-1-1-111111111-1-1-1-111-1-1-1-111-1-111-1-111-1-11111-1-111-1-1
χ13111111111111-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-111-1-1-1-111-1-11111-1-1-1-111
χ14111111111111-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-11111-1-1-1-111-1-11111-1-1
χ15111111111111-1-1-1-1-1-1-1-1111111-1-1-1-111-1-11111-1-1-1-11111-1-1-1-11111-1-1
χ16111111111111-1-1-1-1-1-1-1-1111111-1-1-1-111-1-111-1-11111-1-111-1-111-1-1-1-111
χ1722222222222222222222-2-2-2-222-2-2-2-2-2-2000000000000000000000000
χ182222222222222222-2-2-2-2-2-2-2-2-2-2-2-22222000000000000000000000000
χ19222222222222-2-2-2-22222-2-2-2-2-2-222-2-222000000000000000000000000
χ20222222222222-2-2-2-2-2-2-2-2-2-2-2-2222222-2-2000000000000000000000000
χ2122222222-2-2-2-222-2-200002-22-2002-20000000000002-22-2000000000000
χ2222222222-2-2-2-222-2-200002-22-2002-2000000000000-22-22000000000000
χ2322222222-2-2-2-222-2-20000-22-2200-22000000002-22-20000000000000000
χ2422222222-2-2-2-222-2-20000-22-2200-2200000000-22-220000000000000000
χ2522222222-2-2-2-2-2-22200002-22-200-220000000000002-2-22000000000000
χ2622222222-2-2-2-2-2-22200002-22-200-22000000000000-222-2000000000000
χ2722222222-2-2-2-2-2-2220000-22-22002-2000000002-2-220000000000000000
χ2822222222-2-2-2-2-2-2220000-22-22002-200000000-222-20000000000000000
χ292222-2-2-2-2-2-2222-22-222-2-200002-20000000000000000000000i2−i2i2−i2i2−i2i2−i2
χ302222-2-2-2-2-2-2222-22-222-2-200002-20000000000000000000000−i2i2−i2i2−i2i2−i2i2
χ312222-2-2-2-2-2-2222-22-2-2-2220000-220000000000000000000000i2−i2i2−i2−i2i2−i2i2
χ322222-2-2-2-2-2-2222-22-2-2-2220000-220000000000000000000000−i2i2−i2i2i2−i2i2−i2
χ332222-2-2-2-2-2-222-22-2222-2-20000-220000000000000000000000i2−i2−i2i2i2−i2−i2i2
χ342222-2-2-2-2-2-222-22-2222-2-20000-220000000000000000000000−i2i2i2−i2−i2i2i2−i2
χ352222-2-2-2-2-2-222-22-22-2-22200002-20000000000000000000000i2−i2−i2i2−i2i2i2−i2
χ362222-2-2-2-2-2-222-22-22-2-22200002-20000000000000000000000−i2i2i2−i2i2−i2−i2i2
χ3722-2-222-2-22-22-200002i−2i2i−2i2-2-2200002i−2i00002i−2i00000000002-200000000
χ3822-2-222-2-22-22-200002i−2i2i−2i2-2-2200002i−2i0000−2i2i0000000000-2200000000
χ3922-2-222-2-22-22-200002i−2i2i−2i-222-20000−2i2i002-200000000002i−2i0000000000
χ4022-2-222-2-22-22-200002i−2i2i−2i-222-20000−2i2i00-220000000000−2i2i0000000000
χ4122-2-222-2-22-22-20000−2i2i−2i2i2-2-220000−2i2i00002i−2i0000000000-2200000000
χ4222-2-222-2-22-22-20000−2i2i−2i2i2-2-220000−2i2i0000−2i2i00000000002-200000000
χ4322-2-222-2-22-22-20000−2i2i−2i2i-222-200002i−2i002-20000000000−2i2i0000000000
χ4422-2-222-2-22-22-20000−2i2i−2i2i-222-200002i−2i00-2200000000002i−2i0000000000
χ454444-4-4-4-444-4-44-4-440000000000000000000000000000000000000000
χ464444-4-4-4-444-4-4-444-40000000000000000000000000000000000000000
χ4744-4-444-4-4-44-440000000044-4-400000000000000000000000000000000
χ4844-4-444-4-4-44-4400000000-4-44400000000000000000000000000000000
χ4944-4-4-4-4444-4-440000000000000000004i−4i000000000000000000000000
χ5044-4-4-4-4444-4-44000000000000000000−4i4i000000000000000000000000
χ5144-4-4-4-444-444-400004i−4i−4i4i000000000000000000000000000000000000
χ5244-4-4-4-444-444-40000−4i4i4i−4i000000000000000000000000000000000000
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).