Finite Group Databasebeta

← Group #267456

Character table — Group #267456

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53
size11112222222244444888888888888888161616161616161616161616161616161616161632
order12222222224444444244444444448888244444444444448888884
χ111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111-1-1-1-11-1-11-1-1-1-1111111-1-1-1-1-1-1-1
χ3111111111111111111111111-1-1-1-111111-1-1111-1-1-1-1-1-1-1-1-1-1-1-1111
χ4111111111111111111111111-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-11111-1-1-1
χ511111111111111111-1-1-1111-111-1-11111-11-1-1111-1111-1-1-11-11-1-1-1-1
χ611111111111111111-1-1-1111-111-1-1-1-1-1-1-1-11-1-1-1-11111-1-1-1-11-11111
χ711111111111111111-1-1-1111-1-1-1111111-1-11-111-11-1-1-1111-11-11-1-1-1
χ811111111111111111-1-1-1111-1-1-111-1-1-1-1-11-1-1-1-11-1-1-1-11111-11-1111
χ911111111111111-1-11111-1-1-1111111111-1-1-1-1-1-1-1-11-1-11-1-1111111-1
χ1011111111111111-1-11111-1-1-111111-1-1-1-1-111-111111-1-11-1-1-1-1-1-1-1-11
χ1111111111111111-1-11111-1-1-11-1-1-1-11111-111-1-1-111-111-111-1-1-1-111-1
χ1211111111111111-1-11111-1-1-11-1-1-1-1-1-1-1-1-1-1-1-111-1-1-111-1111111-1-11
χ1311111111111111-1-11-1-1-1-1-1-1-111-1-111111-111-1-1-111-1-1-1111-11-1-1-11
χ1411111111111111-1-11-1-1-1-1-1-1-111-1-1-1-1-1-111-11111-11-1-1-111-11-1111-1
χ1511111111111111-1-11-1-1-1-1-1-1-1-1-111111111-11-1-11-1-1111-1-1-11-11-1-11
χ1611111111111111-1-11-1-1-1-1-1-1-1-1-111-1-1-1-11-11111-11-1111-1-11-11-111-1
χ172222222222-2-2-2-200-22-22000-222-2-2000000000000-2002000000000
χ182222222222-2-2-2-200-22-22000-2-2-222000000000000200-2000000000
χ192222222222-2-2-2-200-2-22-200022222000000000000-200-2000000000
χ202222222222-2-2-2-200-2-22-20002-2-2-2-20000000000002002000000000
χ2122222-2-22-2-222-2-22222-2-22-2-2200000000200-200000000000000000
χ2222222-2-22-2-222-2-2222-2222-2-2-200000000-200200000000000000000
χ2322222-2-22-2-222-2-2-2-222-2-2-222200000000-200200000000000000000
χ2422222-2-22-2-222-2-2-2-22-222-222-200000000200-200000000000000000
χ2522222-2-22-2-2-2-22200-222-2000-2000000000000000002i−2i02i−2i0000000
χ2622222-2-22-2-2-2-22200-222-2000-200000000000000000−2i2i0−2i2i0000000
χ2722222-2-22-2-2-2-22200-2-2-220002000000000000000002i−2i0−2i2i0000000
χ2822222-2-22-2-2-2-22200-2-2-22000200000000000000000−2i2i02i−2i0000000
χ292222-22-2-22-2222-222-2000-22-2000000000020000-20000000-2020000
χ302222-22-2-22-2222-222-2000-22-20000000000-200002000000020-20000
χ312222-22-2-22-2222-2-2-2-20002-22000000000020000-2000000020-20000
χ322222-22-2-22-2222-2-2-2-20002-220000000000-2000020000000-2020000
χ332222-2-22-2-2222-2222-2000-2-220000000000020000-20000000-202000
χ342222-2-22-2-2222-2222-2000-2-2200000000000-200002000000020-2000
χ352222-2-22-2-2222-22-2-2-200022-20000000000020000-2000000020-2000
χ362222-2-22-2-2222-22-2-2-200022-200000000000-2000020000000-202000
χ374444-44-4-44-4-4-4-44004000000000000000000000000000000000000
χ384444-4-44-4-44-4-44-4004000000000000000000000000000000000000
χ394-44-4444-4-4-4000000000000000000000000000000000000000022−220
χ404-44-4444-4-4-40000000000000000000000000000000000000000−22220
χ414-44-44-4-4-4440000000000000000002i22i2−2i2−2i2000000000000000000000
χ424-44-44-4-4-444000000000000000000−2i2−2i22i22i2000000000000000000000
χ434-44-4-44-44-4400000000000000004i−4i0000000000000000000000000
χ444-44-4-44-44-440000000000000000−4i4i0000000000000000000000000
χ454-44-4-4-4444-4000000000000004i−4i000000000000000000000000000
χ464-44-4-4-4444-400000000000000−4i4i000000000000000000000000000
χ474-4-440000004-4004-40000000000002i−2i2i−2i00002i−2i000000000000000
χ484-4-440000004-4004-4000000000000−2i2i−2i2i0000−2i2i000000000000000
χ494-4-440000004-400-440000000000002i−2i2i−2i0000−2i2i000000000000000
χ504-4-440000004-400-44000000000000−2i2i−2i2i00002i−2i000000000000000
χ5188-8-800000000000000000000000022−22−2222000000000000000000000
χ5288-8-8000000000000000000000000−222222−22000000000000000000000
χ538-8-88000000-8800000000000000000000000000000000000000000

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