Finite Group Databasebeta

← Group #241573

Character table — Group #241573

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56
size11111111222244444444444488888888161616161616161616161616161616161616161616161616
order12222222222244444444444422444444444444444444444488888888
χ111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-1
χ411111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ5111111111111111111111111-1-1-1-1-1-1-1-11-11-1111-11-111-1-1-1-11111-1-1-1-1
χ6111111111111111111111111-1-1-1-1-1-1-1-11-11-1-1-11-11-1-1-11111-1-1-1-11111
χ7111111111111111111111111-1-1-1-1-1-1-1-1-11-1111-11-1111-1-1-1-1-1-1-1-11111
χ8111111111111111111111111-1-1-1-1-1-1-1-1-11-11-1-1-11-11-1-111111111-1-1-1-1
χ9111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1111-1-11111-1-11-1-111-1-111-1-111-1-1
χ10111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1111-1-11-1-11-1-1111-1-111-1-111-1-111
χ11111111111111-1-1-1-1-1-1-1-1111111-1-1-1-111-111-111-111-1-1-111-1-1-1-111-1-111
χ12111111111111-1-1-1-1-1-1-1-1111111-1-1-1-111-111-1-1-1-111-111-1-11111-1-111-1-1
χ13111111111111-1-1-1-1-1-1-1-11111-1-11111-1-111-1-11111-1-1-1-1-1-11111-1-1-1-111
χ14111111111111-1-1-1-1-1-1-1-11111-1-11111-1-111-1-1-1-111-1-11111-1-1-1-11111-1-1
χ15111111111111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-11111-1-111-1-1-1-111-1-11111-1-1
χ16111111111111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-111-1-1-1-1111111-1-111-1-1-1-111
χ172222222222222222-2-2-2-2-2-2-2-22222-2-2-2-2000000000000000000000000
χ182222222222222222-2-2-2-2-2-2-2-2-2-2-2-22222000000000000000000000000
χ19222222222222-2-2-2-22222-2-2-2-222-2-222-2-2000000000000000000000000
χ20222222222222-2-2-2-22222-2-2-2-2-2-222-2-222000000000000000000000000
χ2122222222-2-2-2-222-2-222-2-222-2-2000000000202000-20-200000000000000
χ2222222222-2-2-2-222-2-222-2-222-2-2000000000-20-200020200000000000000
χ2322222222-2-2-2-222-2-2-2-222-2-2220000000020-2000-202000000000000000
χ2422222222-2-2-2-222-2-2-2-222-2-22200000000-20200020-2000000000000000
χ2522222222-2-2-2-2-2-22222-2-2-2-22200000000202000-20-2000000000000000
χ2622222222-2-2-2-2-2-22222-2-2-2-22200000000-20-2000202000000000000000
χ2722222222-2-2-2-2-2-222-2-22222-2-200000000020-2000-20200000000000000
χ2822222222-2-2-2-2-2-222-2-22222-2-2000000000-20200020-200000000000000
χ2922-2-22-2-222-22-22i−2i2i−2i2i−2i2i−2i2-22-200000000000000000000000000002i−2i2-2
χ3022-2-22-2-222-22-22i−2i2i−2i2i−2i2i−2i2-22-20000000000000000000000000000−2i2i-22
χ3122-2-22-2-222-22-22i−2i2i−2i−2i2i−2i2i-22-220000000000000000000000002-22i−2i0000
χ3222-2-22-2-222-22-22i−2i2i−2i−2i2i−2i2i-22-22000000000000000000000000-22−2i2i0000
χ3322-2-22-2-222-22-2−2i2i−2i2i2i−2i2i−2i-22-220000000000000000000000002-2−2i2i0000
χ3422-2-22-2-222-22-2−2i2i−2i2i2i−2i2i−2i-22-22000000000000000000000000-222i−2i0000
χ3522-2-22-2-222-22-2−2i2i−2i2i−2i2i−2i2i2-22-200000000000000000000000000002i−2i-22
χ3622-2-22-2-222-22-2−2i2i−2i2i−2i2i−2i2i2-22-20000000000000000000000000000−2i2i2-2
χ3722-2-22-2-22-22-222i−2i−2i2i2i−2i−2i2i2-2-220000000000002i−2i00002-2000000000000
χ3822-2-22-2-22-22-222i−2i−2i2i2i−2i−2i2i2-2-22000000000000−2i2i0000-22000000000000
χ3922-2-22-2-22-22-222i−2i−2i2i−2i2i2i−2i-222-2000000000000000000002i−2i2-200000000
χ4022-2-22-2-22-22-222i−2i−2i2i−2i2i2i−2i-222-200000000000000000000−2i2i-2200000000
χ4122-2-22-2-22-22-22−2i2i2i−2i2i−2i−2i2i-222-2000000000000000000002i−2i-2200000000
χ4222-2-22-2-22-22-22−2i2i2i−2i2i−2i−2i2i-222-200000000000000000000−2i2i2-200000000
χ4322-2-22-2-22-22-22−2i2i2i−2i−2i2i2i−2i2-2-220000000000002i−2i0000-22000000000000
χ4422-2-22-2-22-22-22−2i2i2i−2i−2i2i2i−2i2-2-22000000000000−2i2i00002-2000000000000
χ45444-4-44-4-44-4-44000000000000004-40000000000000000000000000000
χ46444-4-44-4-44-4-4400000000000000-440000000000000000000000000000
χ47444-4-44-4-4-444-40000000000004-4000000000000000000000000000000
χ48444-4-44-4-4-444-4000000000000-44000000000000000000000000000000
χ4944-44-4-44-444-4-400000000000000004-400000000000000000000000000
χ5044-44-4-44-444-4-40000000000000000-4400000000000000000000000000
χ5144-44-4-44-4-4-4440000000000000000004i−4i000000000000000000000000
χ5244-44-4-44-4-4-444000000000000000000−4i4i000000000000000000000000
χ538-8888-8-8-8000000000000000000000000000000000000000000000000
χ548-88-8-8-888000000000000000000000000000000000000000000000000
χ558-8-88-88-88000000000000000000000000000000000000000000000000
χ568-8-8-8888-8000000000000000000000000000000000000000000000000

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