Finite Group Databasebeta

← Group #302262

Character table — Group #302262

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53
size11111111222244444488888888888161616161616161616161616161616161616161616161616
order12222222222244444422444444444444444444444444488888888
χ111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111-1-111-1-11-1-1-11-111-1-111-1-1-1-1-1-1-1-11111
χ411111111111111111111111-1-111-1-11-1-1-11-1-1-1-1-1-1-111111111-1-1-1-1
χ5111111111111111111-1-1-1-11111111-11-1-1-1111-1-1111111-1-1-1-1-1-1-1-1
χ6111111111111111111-1-1-1-11111111-11-1-1-11-1-1-1-1-1-1-1-1-1-111111111
χ7111111111111111111-1-1-1-11-1-111-1-1-1-111-1-1111111-1-1-1-11111-1-1-1-1
χ8111111111111111111-1-1-1-11-1-111-1-1-1-111-1-1-1-111-1-11111-1-1-1-11111
χ91111111111111-1-11111111-111-1-1-1-1-111-1-1-1111-1-1-111-1-111-1-111-1-1
χ101111111111111-1-11111111-111-1-1-1-1-111-1-1-1-1-11-111-1-111-1-111-1-111
χ111111111111111-1-11111111-1-1-1-1-111-1-1-11-1111-11-1-1-1-111-1-11111-1-1
χ121111111111111-1-11111111-1-1-1-1-111-1-1-11-11-1-1-111111-1-111-1-1-1-111
χ131111111111111-1-1111-1-1-1-1-111-1-1-1-111-111-111-11-1-111-1-1-1-111-1-111
χ141111111111111-1-1111-1-1-1-1-111-1-1-1-111-111-1-1-1-1111-1-11111-1-111-1-1
χ151111111111111-1-1111-1-1-1-1-1-1-1-1-1111-11-111111-1-1-1-1-11111-1-1-1-111
χ161111111111111-1-1111-1-1-1-1-1-1-1-1-1111-11-111-1-11-11111-1-1-1-11111-1-1
χ17222222222222-222-2-2-20000222-2-2220-2000-2000000000000000000
χ18222222222222-222-2-2-200002-2-2-2-2-2-2020002000000000000000000
χ19222222222222-2-2-2-2-2-20000-22222-2-20-20002000000000000000000
χ20222222222222-2-2-2-2-2-20000-2-2-2222202000-2000000000000000000
χ2122222222-2-2-2-2222-2-2222-2-2-2002-2002000-20000000000000000000
χ2222222222-2-2-2-2222-2-22-2-222-2002-200-200020000000000000000000
χ2322222222-2-2-2-22-2-2-2-2222-2-2200-2200-200020000000000000000000
χ2422222222-2-2-2-22-2-2-2-22-2-222200-22002000-20000000000000000000
χ2522222222-2-2-2-2-22222-20000-200-2200002-20000-2200000000000000
χ2622222222-2-2-2-2-22222-20000-200-220000-2200002-200000000000000
χ2722222222-2-2-2-2-2-2-222-200002002-20000220000-2-200000000000000
χ2822222222-2-2-2-2-2-2-222-200002002-20000-2-200002200000000000000
χ292222-2-2-2-22-22-22002-2-22-22-20000000000000000000002-2002-20000
χ302222-2-2-2-22-22-22002-2-22-22-2000000000000000000000-2200-220000
χ312222-2-2-2-22-22-22002-2-2-22-220000000000000000000002-200-220000
χ322222-2-2-2-22-22-22002-2-2-22-22000000000000000000000-22002-20000
χ332222-2-2-2-2-22-22200-22-22-2-2200000000000000000002-2002-2000000
χ342222-2-2-2-2-22-22200-22-22-2-220000000000000000000-2200-22000000
χ352222-2-2-2-2-22-22200-22-2-222-200000000000000000002-200-22000000
χ362222-2-2-2-2-22-22200-22-2-222-20000000000000000000-22002-2000000
χ374444-4-4-4-44-44-4-400-44400000000000000000000000000000000000
χ384444-4-4-4-4-44-44-4004-4400000000000000000000000000000000000
χ394-44-44-44-4000004i−4i000000000000000000002-2002i−2i000000000000
χ404-44-44-44-4000004i−4i00000000000000000000-2200−2i2i000000000000
χ414-44-44-44-400000−4i4i000000000000000000002-200−2i2i000000000000
χ424-44-44-44-400000−4i4i00000000000000000000-22002i−2i000000000000
χ434-4-444-4-4444-4-400000000000000000000000000000000000002i2−2i200
χ444-4-444-4-4444-4-40000000000000000000000000000000000000−2i22i200
χ454-4-444-4-44-4-44400000000000000000000000000000000000000022−22
χ464-4-444-4-44-4-444000000000000000000000000000000000000000−2222
χ474-4-44-444-44-4-440000000000000004i−4i000000000000000000000000
χ484-4-44-444-44-4-44000000000000000−4i4i000000000000000000000000
χ494-4-44-444-4-444-4000000000004i−4i0000000000000000000000000000
χ504-4-44-444-4-444-400000000000−4i4i0000000000000000000000000000
χ5188-8-888-8-8000000000000000000000000000000000000000000000
χ5288-8-8-8-888000000000000000000000000000000000000000000000
χ538-88-8-88-88000000000000000000000000000000000000000000000

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