Finite Group Databasebeta

← Group #266646

Character table — Group #266646

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50
size1111111144444444448888881616161616161616161616161616161616161616161616161616
order12222222444444444444444422444444444444888888888888
χ111111111111111111111111111111111111111111111111111
χ211111111111111111111111111-1-1-1-11-1-1111-1-11111-1-1-1-1-1-1-1-1
χ3111111111111111111111111-1-111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1
χ4111111111111111111111111-1-1-1-1-1-11-1-11-1-1-1-1-1-1-1-111111111
χ5111111111111111111-1-1-1-1111111-1-1-11-1-1111-1-1-1-1-11111-1-1-1-1
χ6111111111111111111-1-1-1-11111-1-111-1-11-111-11-1-1-1-1-1-1-1-11111
χ7111111111111111111-1-1-1-111-1-111-1-1-11-1-1-1-11-11111-1-1-1-11111
χ8111111111111111111-1-1-1-111-1-1-1-111-1-11-1-1-1-1111111111-1-1-1-1
χ91111111111-1-1-1-111111111-1-1111-11-1-111-1-1-1-1-111-1-111-1-111-1-1
χ101111111111-1-1-1-111111111-1-111-11-11-1-1-1-1-1-11111-1-1-1-111-1-111
χ111111111111-1-1-1-111111111-1-1-1-11-11-1-111-111-1-1-1-111-1-111-1-111
χ121111111111-1-1-1-111111111-1-1-1-1-11-11-1-1-1-11111-1-11111-1-111-1-1
χ131111111111-1-1-1-11111-1-1-1-1-1-1111-1-1111-11-1-1-11-1-11111-1-1-1-111
χ141111111111-1-1-1-11111-1-1-1-1-1-111-111-11-111-1-11-1-1-111-1-11111-1-1
χ151111111111-1-1-1-11111-1-1-1-1-1-1-1-11-1-1111-1111-1111-1-1-1-11111-1-1
χ161111111111-1-1-1-11111-1-1-1-1-1-1-1-1-111-11-111111-111-1-111-1-1-1-111
χ17222222222-22222-2-22-20000-2-200002200-20000-2000000000000
χ18222222222-22222-2-22-20000-2-20000-2-200200002000000000000
χ19222222222-2-2-2-2-2-2-22-200002200002-200-200002000000000000
χ20222222222-2-2-2-2-2-2-22-20000220000-220020000-2000000000000
χ2122222222-2222-2-2-2-2-220000-220022000-20000-20000000000000
χ2222222222-2222-2-2-2-2-220000-2200-2-20002000020000000000000
χ2322222222-22-2-222-2-2-2200002-2002-2000-2000020000000000000
χ2422222222-22-2-222-2-2-2200002-200-2200020000-20000000000000
χ2522222222-2-222-2-222-2-222-2-22-2000000200-20000000000000000
χ2622222222-2-222-2-222-2-2-2-2222-2000000-20020000000000000000
χ2722222222-2-2-2-22222-2-222-2-2-22000000-20020000000000000000
χ2822222222-2-2-2-22222-2-2-2-222-22000000200-20000000000000000
χ292222-2-2-2-22200002-2-2-22-22-2002-20000000000002-20000000000
χ302222-2-2-2-22200002-2-2-22-22-200-22000000000000-220000000000
χ312222-2-2-2-22200002-2-2-2-22-22002-2000000000000-220000000000
χ322222-2-2-2-22200002-2-2-2-22-2200-220000000000002-20000000000
χ332222-2-2-2-2-2-200002-2222-2-220000000000002i−2i00002i−2i00000000
χ342222-2-2-2-2-2-200002-2222-2-22000000000000−2i2i0000−2i2i00000000
χ352222-2-2-2-2-2-200002-222-222-20000000000002i−2i0000−2i2i00000000
χ362222-2-2-2-2-2-200002-222-222-2000000000000−2i2i00002i−2i00000000
χ374444-4-4-4-44-40000-44-4400000000000000000000000000000000
χ384444-4-4-4-4-440000-444-400000000000000000000000000000000
χ394-44-44-44-4004i−4i00000000000000000000000000000000002-22i−2i
χ404-44-44-44-4004i−4i0000000000000000000000000000000000-22−2i2i
χ414-44-44-44-400−4i4i00000000000000000000000000000000002-2−2i2i
χ424-44-44-44-400−4i4i0000000000000000000000000000000000-222i−2i
χ434-4-44-444-400004i−4i00000000000000000000000000002-22i−2i0000
χ444-4-44-444-400004i−4i0000000000000000000000000000-22−2i2i0000
χ454-4-44-444-40000−4i4i00000000000000000000000000002-2−2i2i0000
χ464-4-44-444-40000−4i4i0000000000000000000000000000-222i−2i0000
χ4788-8-888-8-8000000000000000000000000000000000000000000
χ4888-8-8-8-888000000000000000000000000000000000000000000
χ498-88-8-88-88000000000000000000000000000000000000000000
χ508-8-888-8-88000000000000000000000000000000000000000000

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