Finite Group Databasebeta

← Group #268117

Character table — Group #268117

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50
size1111222244444444488888888881616161616161616161616161616161616161616161632
order12222244444444444444444888824444444888888888888884
χ111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111-1-11-11-1-1-1-1-1-1-1-1-1-1-1111111-1
χ311111111111111111111111-1-1-1-1111111-1-11111-1-1-1-1-1-1-1-1-1-1-1
χ411111111111111111111111-1-1-1-1-1-11-11-111-1-1-1-11111-1-1-1-1-1-11
χ5111111111111-1-1111111-1-1-111-1-11-1-11-1-1111-11-1-1-111111-1-1-1-1
χ6111111111111-1-1111111-1-1-111-1-1-11-1-1-11-1-1-11-1111-1-1111-1-1-11
χ7111111111111-1-1111111-1-1-1-1-1111-1-11-1-1-1-11-11-111-1-1-1-1-11111
χ8111111111111-1-1111111-1-1-1-1-111-11-1-1-1111-11-11-1-111-1-1-1111-1
χ911111111-1-11111111-1-1-1111111111-11-1111-1-1-1-1-1-1-1-11-1-11-1-11
χ1011111111-1-11111111-1-1-11111111-1-1-1-1-1-1-1-1111111111-1-11-1-1-1
χ1111111111-1-11111111-1-1-1111-1-1-1-111-11-11-1-1-1-1-1-11111-111-111-1
χ1211111111-1-11111111-1-1-1111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-111-1111
χ1311111111-1-111-1-1111-1-1-1-1-1-111-1-11-1111-111-11-1111-1-11-1-1-111-1
χ1411111111-1-111-1-1111-1-1-1-1-1-111-1-1-111-111-1-11-11-1-1-1111-1-1-1111
χ1511111111-1-111-1-1111-1-1-1-1-1-1-1-1111-1111-1-1-1-11-11-1-111-1111-1-11
χ1611111111-1-111-1-1111-1-1-1-1-1-1-1-111-111-111111-11-111-1-1-1111-1-1-1
χ172222222222-2-2222-2-22-2-22-2-200000020-2000000000000000000
χ182222222222-2-2-2-22-2-22-2-2-222000000-202000000000000000000
χ1922222222-2-2-2-2222-2-2-2222-2-2000000-202000000000000000000
χ2022222222-2-2-2-2-2-22-2-2-222-22200000020-2000000000000000000
χ21222222-2-2002222-2-2-2000-2-220000000000000000000002i−2i02i−2i0
χ22222222-2-2002222-2-2-2000-2-22000000000000000000000−2i2i0−2i2i0
χ23222222-2-20022-2-2-2-2-200022-20000000000000000000002i−2i0−2i2i0
χ24222222-2-20022-2-2-2-2-200022-2000000000000000000000−2i2i02i−2i0
χ25222222-2-200-2-222-222000-22-222220000000000000000-200-2000
χ26222222-2-200-2-222-222000-22-2-2-2-2-200000000000000002002000
χ27222222-2-200-2-2-2-2-2220002-2222-2-20000000000000000-2002000
χ28222222-2-200-2-2-2-2-2220002-22-2-2220000000000000000200-2000
χ292222-2-222222-200-22-2-22-2000000002000-200020-200000000000
χ302222-2-222222-200-22-2-22-200000000-20002000-20200000000000
χ312222-2-22222-2200-2-22-2-220000000200-2000020-2000000000000
χ322222-2-22222-2200-2-22-2-220000000-20020000-202000000000000
χ332222-2-222-2-22-200-22-22-22000000002000-2000-20200000000000
χ342222-2-222-2-22-200-22-22-2200000000-2000200020-200000000000
χ352222-2-222-2-2-2200-2-2222-20000000200-20000-202000000000000
χ362222-2-222-2-2-2200-2-2222-20000000-2002000020-2000000000000
χ374444-4-4-4-4004-4004-44000000000000000000000000000000000
χ384444-4-4-4-400-440044-4000000000000000000000000000000000
χ3944-4-4004-44-4000000000000000000000002-20000002-20000000
χ4044-4-4004-44-400000000000000000000000-22000000-220000000
χ4144-4-4004-4-44000000000000000000000002-2000000-220000000
χ4244-4-4004-4-4400000000000000000000000-220000002-20000000
χ434-44-4-440000004i−4i00000000022−222i2−2i200000000000000000000000
χ444-44-4-440000004i−4i000000000−2222−2i22i200000000000000000000000
χ454-44-4-44000000−4i4i00000000022−22−2i22i200000000000000000000000
χ464-44-4-44000000−4i4i000000000−22222i2−2i200000000000000000000000
χ4788-8-800-88000000000000000000000000000000000000000000
χ488-88-88-800000000000000000000000000000000000000000000
χ498-8-88000000000000000000000000000000000002i2−2i2000000000
χ508-8-8800000000000000000000000000000000000−2i22i2000000000

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