Finite Group Databasebeta

← Group #268103

Character table — Group #268103

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50
size1111222244444444488888888881616161616161616161616161616161616161616161632
order12222244444444444444444888844444444888888888888882
χ111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111-1-11-1-1-1-1-1-1-1-1-1-1-1-1111111-1
χ311111111111111111111111-1-1-1-1111111-1-11111-1-1-1-1-1-1-1-1-1-1-1
χ411111111111111111111111-1-1-1-11-1-11-1-111-1-1-1-11111-1-1-1-1-1-11
χ5111111111111-1-1111111-1-1-111-1-1-11-1-11-1111-11-1-1-111111-1-1-1-1
χ6111111111111-1-1111111-1-1-111-1-1-1-11-1-11-1-1-11-1111-1-1111-1-1-11
χ7111111111111-1-1111111-1-1-1-1-111-11-1-11-1-1-11-11-111-1-1-1-1-11111
χ8111111111111-1-1111111-1-1-1-1-111-1-11-1-1111-11-11-1-111-1-1-1111-1
χ91111111111-1-111111-1-1-11111111-111-11111-1-1-1-1-1-1-1-11-1-11-1-11
χ101111111111-1-111111-1-1-11111111-1-1-1-1-1-1-1-1111111111-1-11-1-1-1
χ111111111111-1-111111-1-1-1111-1-1-1-1-111-111-1-1-1-1-1-11111-111-111-1
χ121111111111-1-111111-1-1-1111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-111-1111
χ131111111111-1-1-1-1111-1-1-1-1-1-111-1-111-111-111-11-1111-1-11-1-1-111-1
χ141111111111-1-1-1-1111-1-1-1-1-1-111-1-11-111-11-1-11-11-1-1-1111-1-1-1111
χ151111111111-1-1-1-1111-1-1-1-1-1-1-1-11111-111-1-1-1-11-11-1-111-1111-1-11
χ161111111111-1-1-1-1111-1-1-1-1-1-1-1-1111-111-11111-11-111-1-1-1111-1-1-1
χ1722222222-2-222222-2-22-2-2-22-20000-20020000000000000000000
χ1822222222-2-222-2-22-2-22-2-22-220000200-20000000000000000000
χ1922222222-2-2-2-2222-2-2-222-22-20000200-20000000000000000000
χ2022222222-2-2-2-2-2-22-2-2-2222-220000-20020000000000000000000
χ21222222-2-2220022-2-2-20002-2-20000000000000000000002i−2i02i−2i0
χ22222222-2-2220022-2-2-20002-2-2000000000000000000000−2i2i0−2i2i0
χ23222222-2-22200-2-2-2-2-2000-2220000000000000000000002i−2i0−2i2i0
χ24222222-2-22200-2-2-2-2-2000-222000000000000000000000−2i2i02i−2i0
χ25222222-2-2-2-20022-222000-2-2222220000000000000000-200-2000
χ26222222-2-2-2-20022-222000-2-22-2-2-2-200000000000000002002000
χ27222222-2-2-2-200-2-2-22200022-222-2-20000000000000000-2002000
χ28222222-2-2-2-200-2-2-22200022-2-2-2220000000000000000200-2000
χ292222-2-2222-22200-22-2-22-2000000000200-2000-20200000000000
χ302222-2-2222-22200-22-2-22-2000000000-200200020-200000000000
χ312222-2-2222-2-2-200-22-22-22000000000200-200020-200000000000
χ322222-2-2222-2-2-200-22-22-22000000000-2002000-20200000000000
χ332222-2-222-222200-2-22-2-2200000000200-2000-202000000000000
χ342222-2-222-222200-2-22-2-2200000000-200200020-2000000000000
χ352222-2-222-22-2-200-2-2222-200000000200-200020-2000000000000
χ362222-2-222-22-2-200-2-2222-200000000-2002000-202000000000000
χ374444-4-4-4-44-400004-44000000000000000000000000000000000
χ384444-4-4-4-4-44000044-4000000000000000000000000000000000
χ3944-4-400-44004-40000000000000000000002i−2i0000002i−2i0000000
χ4044-4-400-44004-4000000000000000000000−2i2i000000−2i2i0000000
χ4144-4-400-4400-440000000000000000000002i−2i000000−2i2i0000000
χ4244-4-400-4400-44000000000000000000000−2i2i0000002i−2i0000000
χ434-44-4-440000004-40000000002i2−2i22i2−2i200000000000000000000000
χ444-44-4-440000004-4000000000−2i22i2−2i22i200000000000000000000000
χ454-44-4-44000000-440000000002i2−2i2−2i22i200000000000000000000000
χ464-44-4-44000000-44000000000−2i22i22i2−2i200000000000000000000000
χ4788-8-8008-8000000000000000000000000000000000000000000
χ488-88-88-800000000000000000000000000000000000000000000
χ498-8-88000000000000000000000000000000000002i2−2i2000000000
χ508-8-8800000000000000000000000000000000000−2i22i2000000000

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