Finite Group Databasebeta

← Group #273321

Character table — Group #273321

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50
size111122224444444888888888888816161616161616161616161616161616161616161632
order12222244224444422244444488882444444444444888888888
χ111111111111111111111111111111111111111111111111111
χ2111111111111111111111111-1-1111-11-1-1-1-1-1111-1-1-1-1-1-1-1111-1
χ31111111111111111111111-1-111-1-1111111-1-1-1-1-1-1-1111-1-1-1-1-1-1
χ41111111111111111111111-1-1-1-1-1-11-11-1-1-111-1-1-111-1-1-111-1-1-11
χ511111111111111111-1-11-1-11111-1-1-1-1-111-111111-1-11-1-111-1-1-1-1
χ611111111111111111-1-11-1-111-1-1-1-1-11-1-1-11-1-111111-111-1-1-1-1-11
χ711111111111111111-1-11-1-1-1-11111-1-1-111-1-1-1-1-1-1111-1-1-1-11111
χ811111111111111111-1-11-1-1-1-1-1-111-11-1-1-1111-1-1-1-1-1-11111111-1
χ911111111111-1-111-1-111-111111111-1-1-1-1-1-1-1-11-1-111111111-1-1-1
χ1011111111111-1-111-1-111-11111-1-111-11-1111111-1-1-1-1-1-1-1-1-11-1-11
χ1111111111111-1-111-1-111-111-1-111-1-1-1-1-1-1-1-111-111-1-1111-1-1-1111
χ1211111111111-1-111-1-111-111-1-1-1-1-1-1-11-1111-1-1-11111-1-1-111-111-1
χ1311111111111-1-111-1-1-1-1-1-1-11111-1-1111-1-11-1-11-1-1-1-11-1-111-1111
χ1411111111111-1-111-1-1-1-1-1-1-111-1-1-1-11-1111-1111-1-111-111-1-1-111-1
χ1511111111111-1-111-1-1-1-1-1-1-1-1-11111111-1-1111-111111-1-1-1-11-1-1-1
χ1611111111111-1-111-1-1-1-1-1-1-1-1-1-1-1111-1111-1-1-1-111-1-1-111111-1-11
χ1722222222-2-2222-2-2-2-2002000022000002-200000000-200000000
χ1822222222-2-2222-2-2-2-20020000-2-200000-2200000000200000000
χ1922222222-2-22-2-2-2-22200-200002200000-2200000000-200000000
χ2022222222-2-22-2-2-2-22200-20000-2-2000002-200000000200000000
χ21222222-2-2-2-2-20022002-202-22200-2-200000000-20000000002000
χ22222222-2-2-2-2-20022002-202-2-2-20022000000002000000000-2000
χ23222222-2-2-2-2-2002200-220-2222002200000000-2000000000-2000
χ24222222-2-2-2-2-2002200-220-22-2-200-2-20000000020000000002000
χ252222-2-2222-2-222-222-200-20000000002000-200000000-22000000
χ262222-2-2222-2-222-222-200-2000000000-20002000000002-2000000
χ272222-2-2222-2-2-2-2-22-220020000000002000-2000000002-2000000
χ282222-2-2222-2-2-2-2-22-22002000000000-2000200000000-22000000
χ292222-2-222-22-2222-2-222-2-2-2200000020-20000000000000000000
χ302222-2-222-22-2222-2-22-22-22-2000000-2020000000000000000000
χ312222-2-222-22-2-2-22-22-22-22-22000000-2020000000000000000000
χ322222-2-222-22-2-2-22-22-2-2222-200000020-20000000000000000000
χ332222-2-2-2-22-22002-200220-2-20000000000000002i−2i000000002i−2i0
χ342222-2-2-2-22-22002-200220-2-2000000000000000−2i2i00000000−2i2i0
χ352222-2-2-2-22-22002-200-2-20220000000000000002i−2i00000000−2i2i0
χ362222-2-2-2-22-22002-200-2-2022000000000000000−2i2i000000002i−2i0
χ37444444-4-444-400-4-400000000000000000000000000000000000
χ384444-4-4-4-4-44400-4400000000000000000000000000000000000
χ394-44-4004-40004-40000000000000000000002i−2i000000002i−2i0000
χ404-44-4004-40004-4000000000000000000000−2i2i00000000−2i2i0000
χ414-44-4004-4000-440000000000000000000002i−2i00000000−2i2i0000
χ424-44-4004-4000-44000000000000000000000−2i2i000000002i−2i0000
χ434-4-444-40000000000000000002i2−2i22i2−2i2000000000002-2000000000
χ444-4-444-40000000000000000002i2−2i2−2i22i200000000000-22000000000
χ454-4-444-4000000000000000000−2i22i22i2−2i200000000000-22000000000
χ464-4-444-4000000000000000000−2i22i2−2i22i2000000000002-2000000000
χ4788-8-80000000000000000004-400000000000000000000000000
χ4888-8-8000000000000000000-4400000000000000000000000000
χ498-88-800-88000000000000000000000000000000000000000000
χ508-8-88-8800000000000000000000000000000000000000000000

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