Finite Group Databasebeta

← Group #285050

Character table — Group #285050

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53
size11112222222244444448888888888888888161616161616161616161616161616323232
order12222244444444444442488888888888888222444448888888488
χ111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111-1-1-1-111-111-1-1-1-111-1-11-1-1-1-1
χ311111111111111111111111111111-1-11111-1-11-1-11-1-11-1-111-11-1-1-1
χ411111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1111
χ5111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-111-1111-111-1-11
χ6111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-11-1-11-1-1111-111-111-1
χ7111111111111111111111-1-1-1-1-1-1-1-1-1-1111111-111-1-1-1-1-1-11-1-1111-1
χ8111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1-11-1-1-1-11
χ91111111111111-1-11-1-11-1-11111-1-1-1-1111111-1-1-111-1111-1-1-111-1-11-1
χ101111111111111-1-11-1-11-1-11111-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-11-1111-11
χ111111111111111-1-11-1-11-1-11111-1-1-1-1-1-1111111-1-1-1-1-1-1111-11-1-11-11
χ121111111111111-1-11-1-11-1-11111-1-1-1-1-1-1-1-1-1-1111-1-1111-1111-1-11-11-1
χ131111111111111-1-11-1-11-1-1-1-1-1-11111111111111-1-1111-1-1-1-1-11-11-1-1
χ141111111111111-1-11-1-11-1-1-1-1-1-1111111-1-1-1-111-1-1-1-1-1-11-1-11111-111
χ151111111111111-1-11-1-11-1-1-1-1-1-11111-1-11111-1-11111-1-1-111-1-1-1-1-111
χ161111111111111-1-11-1-11-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-111-11111111-111-1-1
χ1722222222-222-2-222-222-2-2-20000000000000000200-200-2000200000
χ1822222222-222-2-222-222-2-2-20000000000000000-2002002000-200000
χ1922222222-222-2-2-2-2-2-2-2-2220000000000000000200-2002000-200000
χ2022222222-222-2-2-2-2-2-2-2-2220000000000000000-200200-2000200000
χ21222222-2-2-2-2-2-2200-2002002i−2i2i−2i00000000002-200000002i−2i0000000
χ22222222-2-2-2-2-2-2200-2002002i−2i2i−2i0000000000-220000000−2i2i0000000
χ23222222-2-2-2-2-2-2200-200200−2i2i−2i2i00000000002-20000000−2i2i0000000
χ24222222-2-2-2-2-2-2200-200200−2i2i−2i2i0000000000-2200000002i−2i0000000
χ252222-2-22-222-22-222-2-2-22-22000000000022-2-200000000000200-2000
χ262222-2-22-222-22-222-2-2-22-220000000000-2-22200000000000-2002000
χ272222-2-22-222-22-2-2-2-22222-2000000000022-2-200000000000-2002000
χ282222-2-22-222-22-2-2-2-22222-20000000000-2-22200000000000200-2000
χ292222-2-22-2-22-2-22222-2-2-22-22i−2i−2i2i2i2i−2i−2i000000000000000000000000
χ302222-2-22-2-22-2-22222-2-2-22-2−2i2i2i−2i−2i−2i2i2i000000000000000000000000
χ312222-2-22-2-22-2-22-2-2222-2-222i−2i−2i2i−2i−2i2i2i000000000000000000000000
χ322222-2-22-2-22-2-22-2-2222-2-22−2i2i2i−2i2i2i−2i−2i000000000000000000000000
χ332222-2-2-222-222200-200-20022-2-200002200000002-200000000-20000
χ342222-2-2-222-222200-200-20022-2-20000-2-20000000-220000000020000
χ352222-2-2-222-222200-200-200-2-2220000220000000-2200000000-20000
χ362222-2-2-222-222200-200-200-2-2220000-2-200000002-20000000020000
χ37444444-4-44-4-44-400400-40000000000000000000000000000000000
χ384444-4-4-44-4-44-4-40040040000000000000000000000000000000000
χ394-44-40000400-4000000000000000002i2−2i22i2−2i2000000002-20000000000
χ404-44-40000400-4000000000000000002i2−2i2−2i22i200000000-220000000000
χ414-44-40000400-400000000000000000−2i22i22i2−2i200000000-220000000000
χ424-44-40000400-400000000000000000−2i22i2−2i22i2000000002-20000000000
χ434-4-444-44-40-44004i−4i04i−4i00000000000000000000000000000000000
χ444-4-444-44-40-4400−4i4i0−4i4i00000000000000000000000000000000000
χ454-4-444-4-4404-4000000000000002i2−2i22i2−2i2000000000000000000000000
χ464-4-444-4-4404-400000000000000−2i22i2−2i22i2000000000000000000000000
χ474-4-44-44440-4-4004i−4i0−4i4i00000000000000000000000000000000000
χ484-4-44-44440-4-400−4i4i04i−4i00000000000000000000000000000000000
χ494-4-44-44-4-40440000000000000022−22−2222000000000000000000000000
χ504-4-44-44-4-404400000000000000−222222−22000000000000000000000000
χ5188-8-8000000000000000000000000000004i−4i000000000000000000
χ5288-8-800000000000000000000000000000−4i4i000000000000000000
χ538-88-80000-800800000000000000000000000000000000000000000

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