Finite Group Databasebeta

← Group #268007

Character table — Group #268007

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50
size1111222244444444488888888881616161616161616161616161616161616161616161632
order12222244224444444244444888822444444888888888888884
χ111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111-1-11-1-11-1-1-1-1-1-1-1-1-1-1111111-1
χ311111111111111111111111-1-1-1-1111-1-11-1-1-1-111-1-111-1-1-1-1-1-11
χ411111111111111111111111-1-1-1-1-1-111111111-1-111-1-1-1-1-1-1-1-1-1
χ5111111111111-1-11111-1-11-11111111-111-111-1-1-1-1-1-1-1-111-1-1-1-11
χ6111111111111-1-11111-1-11-111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1
χ7111111111111-1-11111-1-11-11-1-1-1-111-1-1-1-1-1-111-1-111-1-1-1-111111
χ8111111111111-1-11111-1-11-11-1-1-1-1-1-1-111-111-1-111-1-111-1-11111-1
χ91111111111-1-111111-111-11-111-1-111-11-1-11-11-1111-1-1-11-111-1-1-1
χ101111111111-1-111111-111-11-111-1-1-1-1-1-11-1-11-11-1-1-11111-111-1-11
χ111111111111-1-111111-111-11-1-1-11111-1-11-1-11-1111-11-1-1-11-1-111-1
χ121111111111-1-111111-111-11-1-1-111-1-1-11-1-11-11-1-1-11-111-11-1-1111
χ131111111111-1-1-1-1111-1-1-1-1-1-111-1-11111-111-1-11-1-1-11111-1-1-111-1
χ141111111111-1-1-1-1111-1-1-1-1-1-111-1-1-1-11-111-111-1111-1-1-11-1-1-1111
χ151111111111-1-1-1-1111-1-1-1-1-1-1-1-111111-111-111-1-1-11-111-1111-1-1-1
χ161111111111-1-1-1-1111-1-1-1-1-1-1-1-111-1-111-111-1-1111-11-1-1-1111-1-11
χ1722222222-2-222222-2-2-2-2-222-2000000-200200000000000000000
χ1822222222-2-222-2-22-2-2-2222-2-2000000200-200000000000000000
χ1922222222-2-2-2-2222-2-22-2-2-222000000200-200000000000000000
χ2022222222-2-2-2-2-2-22-2-2222-2-22000000-200200000000000000000
χ21222222-2-2222200-2-2-2200-20-200000000000000000000002i−2i2i−2i0
χ22222222-2-2222200-2-2-2200-20-20000000000000000000000−2i2i−2i2i0
χ23222222-2-222-2-200-2-2-2-20020200000000000000000000002i−2i−2i2i0
χ24222222-2-222-2-200-2-2-2-2002020000000000000000000000−2i2i2i−2i0
χ25222222-2-2-2-22200-222-200-20222220000000000000000-2-200000
χ26222222-2-2-2-22200-222-200-202-2-2-2-200000000000000002200000
χ27222222-2-2-2-2-2-200-22220020-222-2-20000000000000000-2200000
χ28222222-2-2-2-2-2-200-22220020-2-2-22200000000000000002-200000
χ292222-2-2222-20022-22-202-20-200000000200-202000-20000000000
χ302222-2-2222-20022-22-202-20-200000000-20020-200020000000000
χ312222-2-2222-200-2-2-22-20-220200000000200-20-200020000000000
χ322222-2-2222-200-2-2-22-20-220200000000-200202000-20000000000
χ332222-2-222-220022-2-220-220-2000000000200-202000-2000000000
χ342222-2-222-220022-2-220-220-2000000000-20020-20002000000000
χ352222-2-222-2200-2-2-2-2202-202000000000200-20-20002000000000
χ362222-2-222-2200-2-2-2-2202-202000000000-200202000-2000000000
χ374444-4-4-4-44-400004-44000000000000000000000000000000000
χ384444-4-4-4-4-44000044-4000000000000000000000000000000000
χ3944-4-4-4400004-4000000000002i2−2i22i2−2i200000000000000000000000
χ4044-4-4-4400004-400000000000−2i22i2−2i22i200000000000000000000000
χ4144-4-4-440000-44000000000002i2−2i2−2i22i200000000000000000000000
χ4244-4-4-440000-4400000000000−2i22i22i2−2i200000000000000000000000
χ434-4-44004-400004i−4i00000000000002-2000000002i−2i00000000000
χ444-4-44004-400004i−4i0000000000000-2200000000−2i2i00000000000
χ454-4-44004-40000−4i4i00000000000002-200000000−2i2i00000000000
χ464-4-44004-40000−4i4i0000000000000-22000000002i−2i00000000000
χ4788-8-88-800000000000000000000000000000000000000000000
χ488-88-800000000000000000000000000000000000002i2−2i20000000
χ498-88-80000000000000000000000000000000000000−2i22i20000000
χ508-8-8800-88000000000000000000000000000000000000000000

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