Finite Group Databasebeta

← Group #267992

Character table — Group #267992

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50
size1111222244444444488888888881616161616161616161616161616161616161616161632
order12222244224444444244444888824444444888888888888884
χ111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111-1-1-1-11-1-1-1-1-1-1-1-1-1-1111111-1
χ311111111111111111111111-1-1-1-1111-1-11111111-1-1-1-1-1-1-1-1-1-1-1
χ411111111111111111111111-1-1-1-11-1-1111-1-1-1-1-1-11111-1-1-1-1-1-11
χ5111111111111-1-111111-11-1-11111-11111-111-1-1-1-1-1-1-1-111-1-1-1-11
χ6111111111111-1-111111-11-1-11111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1
χ7111111111111-1-111111-11-1-1-1-1-1-1-111-1-1-111-1-1-1-11111-1-11111-1
χ8111111111111-1-111111-11-1-1-1-1-1-1-1-1-111-1-1-11111-1-1-1-1-1-111111
χ91111111111-1-111111-1-11-11111-1-1-11-111-11-11-11-111-1-11-111-1-1-1
χ101111111111-1-111111-1-11-11111-1-1-1-11-1-1-1-11-11-11-1-1111-111-1-11
χ111111111111-1-111111-1-11-111-1-111-11-1-1-1-11-11-11-1-1-111-11-1-1111
χ121111111111-1-111111-1-11-111-1-111-1-1111-1-11-11-1111-1-1-11-1-111-1
χ131111111111-1-1-1-1111-1-1-1-1-1-111-1-111-11111-1-11-11-1-1111-1-1-111-1
χ141111111111-1-1-1-1111-1-1-1-1-1-111-1-11-11-1-11-111-11-111-1-11-1-1-1111
χ151111111111-1-1-1-1111-1-1-1-1-1-1-1-11111-1-1-111-1-11-1111-1-1-1111-1-11
χ161111111111-1-1-1-1111-1-1-1-1-1-1-1-1111-11111-111-11-1-1-111-1111-1-1-1
χ1722222222-2-222222-2-2-2-222-2-2000020000-200000000000000000
χ1822222222-2-222-2-22-2-2-2-2-22220000-20000200000000000000000
χ1922222222-2-2-2-2222-2-2222-2-2-20000-20000200000000000000000
χ2022222222-2-2-2-2-2-22-2-222-2-222000020000-200000000000000000
χ21222222-2-2222200-2-2-22-20-20000000000000000000000002i−2i2i−2i0
χ22222222-2-2222200-2-2-22-20-2000000000000000000000000−2i2i−2i2i0
χ23222222-2-222-2-200-2-2-2-22020000000000000000000000002i−2i−2i2i0
χ24222222-2-222-2-200-2-2-2-2202000000000000000000000000−2i2i2i−2i0
χ25222222-2-2-2-22200-222-220-20022220000000000000000-2-200000
χ26222222-2-2-2-22200-222-220-200-2-2-2-200000000000000002200000
χ27222222-2-2-2-2-2-200-2222-2020022-2-20000000000000000-2200000
χ28222222-2-2-2-2-2-200-2222-20200-2-22200000000000000002-200000
χ292222-2-2222-20022-22-200-202-20000020000-2020-2000000000000
χ302222-2-2222-20022-22-200-202-200000-2000020-202000000000000
χ312222-2-2222-200-2-2-22-20020-220000020000-20-202000000000000
χ322222-2-2222-200-2-2-22-20020-2200000-200002020-2000000000000
χ332222-2-222-220022-2-2200-20-2200000020000-2020-200000000000
χ342222-2-222-220022-2-2200-20-22000000-2000020-20200000000000
χ352222-2-222-2200-2-2-2-2200202-200000020000-20-20200000000000
χ362222-2-222-2200-2-2-2-2200202-2000000-200002020-200000000000
χ374444-4-4-4-44-400004-44000000000000000000000000000000000
χ384444-4-4-4-4-44000044-4000000000000000000000000000000000
χ3944-4-400-4400004i−4i00000000000000002i−2i00000002-2000000000
χ4044-4-400-4400004i−4i0000000000000000−2i2i0000000-22000000000
χ4144-4-400-440000−4i4i00000000000000002i−2i0000000-22000000000
χ4244-4-400-440000−4i4i0000000000000000−2i2i00000002-2000000000
χ434-44-4-4400004-4000000000002i2−2i22i2−2i200000000000000000000000
χ444-44-4-4400004-400000000000−2i22i2−2i22i200000000000000000000000
χ454-44-4-440000-44000000000002i2−2i2−2i22i200000000000000000000000
χ464-44-4-440000-4400000000000−2i22i22i2−2i200000000000000000000000
χ4788-8-8008-8000000000000000000000000000000000000000000
χ488-88-88-800000000000000000000000000000000000000000000
χ498-8-8800000000000000000000000000000000000002i2−2i20000000
χ508-8-880000000000000000000000000000000000000−2i22i20000000

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