Finite Group Databasebeta

← Group #254530

Character table — Group #254530

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50
size1111222244444444488888888888888881616161616161616161616161632323232
order12222244222244444244444444444444444444444488884488
χ111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111-1-1-1-11-1-1-1-11111-1-1-1-1
χ3111111111111111111111111111-1-1-1-1-1-111-1-1-111-1-1-1-1-1-111-1-1
χ4111111111111111111111111111-1-1-1-1-1-1-1-111-1-1-111-1-1-1-1-1-111
χ5111111111111111111-1-1-1-11-1-1-1-1111111111111111-1-1-1-1-1-1-1-1
χ6111111111111111111-1-1-1-11-1-1-1-1111111-1-1-1-11-1-1-1-1-1-1-1-11111
χ7111111111111111111-1-1-1-11-1-1-1-1-1-1-1-1-1-111-1-1-111-1-11111-1-111
χ8111111111111111111-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-111-1-1-111111111-1-1
χ911111111-1-1111-1-111-111-1-1-111-1-11111-1-111-1-1-1-1-11111-1-11-11-1
χ1011111111-1-1111-1-111-111-1-1-111-1-11111-1-1-1-111-111-1-111-1-1-11-11
χ1111111111-1-1111-1-111-111-1-1-111-1-1-1-1-1-11111111-1-1-1-1-1-1111-1-11
χ1211111111-1-1111-1-111-111-1-1-111-1-1-1-1-1-111-1-1-1-111111-1-111-111-1
χ1311111111-1-1111-1-111-1-1-111-1-1-1111111-1-111-1-1-1-1-111-1-111-11-11
χ1411111111-1-1111-1-111-1-1-111-1-1-1111111-1-1-1-111-111-1-1-1-1111-11-1
χ1511111111-1-1111-1-111-1-1-111-1-1-111-1-1-1-11111111-1-1-1-111-1-1-111-1
χ1611111111-1-1111-1-111-1-1-111-1-1-111-1-1-1-111-1-1-1-11111111-1-11-1-11
χ172222222222-2-2222-2-2-20000-2000022-2-2220000-2000000000000
χ182222222222-2-2222-2-2-20000-20000-2-222-2-200002000000000000
χ1922222222-2-2-2-22-2-2-2-2200002000022-2-2-2-200002000000000000
χ2022222222-2-2-2-22-2-2-2-22000020000-2-222220000-2000000000000
χ21222222-2-22222-2-2-2-2-2-20000200000000002-20002-20000000000
χ22222222-2-22222-2-2-2-2-2-2000020000000000-22000-220000000000
χ23222222-2-222-2-2-2-2-22220000-20000000000002-20002-200000000
χ24222222-2-222-2-2-2-2-22220000-2000000000000-22000-2200000000
χ25222222-2-2-2-222-222-2-220000-200000000002-2000-220000000000
χ26222222-2-2-2-222-222-2-220000-20000000000-220002-20000000000
χ27222222-2-2-2-2-2-2-22222-2000020000000000002-2000-2200000000
χ28222222-2-2-2-2-2-2-22222-200002000000000000-220002-200000000
χ292222-2-2-2-2002-22002-200022000-2-22i−2i2i−2i00000000000002i−2i0000
χ302222-2-2-2-2002-22002-200022000-2-2−2i2i−2i2i0000000000000−2i2i0000
χ312222-2-2-2-2002-22002-2000-2-2000222i−2i2i−2i0000000000000−2i2i0000
χ322222-2-2-2-2002-22002-2000-2-200022−2i2i−2i2i00000000000002i−2i0000
χ332222-2-2-2-200-22200-22022000-2-2002i−2i−2i2i000000000002i−2i000000
χ342222-2-2-2-200-22200-22022000-2-200−2i2i2i−2i00000000000−2i2i000000
χ352222-2-2-2-200-22200-220-2-200022002i−2i−2i2i00000000000−2i2i000000
χ362222-2-2-2-200-22200-220-2-20002200−2i2i2i−2i000000000002i−2i000000
χ374444-4-444004-4-400-44000000000000000000000000000000000
χ384444-4-44400-44-4004-4000000000000000000000000000000000
χ394-44-44-400000004-40002i−2i2i−2i02i−2i2i−2i00000000000000000000000
χ404-44-44-400000004-4000−2i2i−2i2i0−2i2i−2i2i00000000000000000000000
χ414-44-44-40000000-440002i−2i−2i2i02i−2i−2i2i00000000000000000000000
χ424-44-44-40000000-44000−2i2i2i−2i0−2i2i2i−2i00000000000000000000000
χ434-44-4-44004-4000000002i−2i2i−2i0−2i2i−2i2i00000000000000000000000
χ444-44-4-44004-400000000−2i2i−2i2i02i−2i2i−2i00000000000000000000000
χ454-44-4-4400-44000000002i−2i−2i2i0−2i2i2i−2i00000000000000000000000
χ464-44-4-4400-4400000000−2i2i2i−2i02i−2i−2i2i00000000000000000000000
χ4788-8-80000000000000000000000000004-400000000000000000
χ4888-8-8000000000000000000000000000-4400000000000000000
χ498-8-88008i−8i000000000000000000000000000000000000000000
χ508-8-8800−8i8i000000000000000000000000000000000000000000

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