Finite Group Databasebeta

← Group #265368

Character table — Group #265368

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50
size11112222444444444448888888888888161616161616161616161616161632323232
order12222244224448888882444444488888224444444488884488
χ111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1
χ3111111111111111111111-1-111-1-11-1-1-1-111111111-1-111-1-1-1-1-1-1
χ4111111111111111111111-1-111-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111
χ51111111111111111111-1-111-1-1111111111-1-111-1-1-1-1-1-1-1-1-1-111
χ61111111111111111111-1-111-1-11111111-1-111-1-111-1-1-1-1-1-111-1-1
χ71111111111111111111-1-1-1-1-1-1-1-11-1-1-1-111-1-111-1-111-1-11111-1-1
χ81111111111111111111-1-1-1-1-1-1-1-11-1-1-1-1-1-111-1-11111-1-111-1-111
χ91111111111111-1-1-1-1-1-111111111-1-1-1-1-11-11-11-11-1-1-1-1-1111-11-1
χ101111111111111-1-1-1-1-1-111111111-1-1-1-1-1-11-11-11-11-1-1-1-111-11-11
χ111111111111111-1-1-1-1-1-111-1-111-1-1-111111-11-11-11-111-1-1-1-1-11-11
χ121111111111111-1-1-1-1-1-111-1-111-1-1-11111-11-11-11-1111-1-1-1-11-11-1
χ131111111111111-1-1-1-1-1-1-1-111-1-111-1-1-1-1-11-1-111-1-111111-1-1-111-1
χ141111111111111-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-111-1-111-11111-1-11-1-11
χ151111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-111-1-11-1-111111-1-11
χ161111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-111-1-111-1-1-11111-111-1
χ1722222222-2-22-2-22222-2-200000000-20000002-200-220000000000
χ1822222222-2-22-2-22222-2-200000000-2000000-22002-20000000000
χ1922222222-2-22-2-2-2-2-2-2220000000020000002200-2-20000000000
χ2022222222-2-22-2-2-2-2-2-222000000002000000-2-200220000000000
χ21222222-2-2-2-2-2220000002-222-22-2-2000000000000000002-20000
χ22222222-2-2-2-2-2220000002-2-2-2-222200000000000000000-220000
χ23222222-2-2-2-2-222000000-22222-2-2-200000000000000000-220000
χ24222222-2-2-2-2-222000000-22-2-22-222000000000000000002-20000
χ252222-2-2222-2-2-2222-2-22200000000-200002200-2-2000000000000
χ262222-2-2222-2-2-2222-2-22200000000-20000-2-20022000000000000
χ272222-2-2222-2-2-22-2-222-2-200000000200002-200-22000000000000
χ282222-2-2222-2-2-22-2-222-2-20000000020000-22002-2000000000000
χ292222-2-222-22-22-222-2-2-2-22-2002-2002000000000000002-2000000
χ302222-2-222-22-22-222-2-2-2-2-2200-2200200000000000000-22000000
χ312222-2-222-22-22-2-2-222222-2002-200-200000000000000-22000000
χ322222-2-222-22-22-2-2-22222-2200-2200-2000000000000002-2000000
χ332222-2-2-2-22-222-20000002200-2-20002i2i−2i−2i000000002i−2i00000000
χ342222-2-2-2-22-222-20000002200-2-2000−2i−2i2i2i00000000−2i2i00000000
χ352222-2-2-2-22-222-2000000-2-200220002i2i−2i−2i00000000−2i2i00000000
χ362222-2-2-2-22-222-2000000-2-20022000−2i−2i2i2i000000002i−2i00000000
χ37444444-4-444-4-4-40000000000000000000000000000000000000
χ384444-4-4-4-4-444-440000000000000000000000000000000000000
χ394-44-4004-40000000004-4002i−2i002i−2i02i−2i2i−2i000000000000000000
χ404-44-4004-40000000004-400−2i2i00−2i2i0−2i2i−2i2i000000000000000000
χ414-44-4004-4000000000-44002i−2i002i−2i0−2i2i−2i2i000000000000000000
χ424-44-4004-4000000000-4400−2i2i00−2i2i02i−2i2i−2i000000000000000000
χ434-44-400-4400000004i−4i00002i−2i00−2i2i02-2-22000000000000000000
χ444-44-400-4400000004i−4i0000−2i2i002i−2i0-222-2000000000000000000
χ454-44-400-440000000−4i4i00002i−2i00−2i2i0-222-2000000000000000000
χ464-44-400-440000000−4i4i0000−2i2i002i−2i02-2-22000000000000000000
χ4788-8-800000000042−4200000000000000000000000000000000000
χ4888-8-8000000000−424200000000000000000000000000000000000
χ498-8-888-800000000000000000000000000000000000000000000
χ508-8-88-8800000000000000000000000000000000000000000000

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