Finite Group Databasebeta

← Group #175243

Character table — Group #175243

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53
size11111111444444444444888888888161616161616161616161616161616161616161616161616
order12222222224444444444444444444222222444444888888888888
χ111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111-1-1-1-11-11111-1-1-11-1-1-1-1-1-11111-1-1-1-1
χ41111111111111111111111111-1-1-1-11-1-1-1-1-1-1-1-11-1-11111-1-1-1-11111
χ511111111111111111111-1-11-1-11111-1-11111-11-1-11-1-1-1-1-1-1-1-1-11111
χ611111111111111111111-1-11-1-11111-1-1-1-1-1-1-11-1-11-111111111-1-1-1-1
χ711111111111111111111-1-11-1-1-1-1-1-1-1111111-11-1-111111-1-1-1-1-1-1-1-1
χ811111111111111111111-1-11-1-1-1-1-1-1-11-1-1-1-11-11-1-11-1-1-1-111111111
χ911111111-1-11-1-11-1-1111111-1-1-111-1-1-1111-1-1-1111-1-111-1-111-1-111-1-1
χ1011111111-1-11-1-11-1-1111111-1-1-111-1-1-11-1-111-1111-1-1-1-111-1-111-1-111
χ1111111111-1-11-1-11-1-1111111-1-1-1-1-111-1-111-1-11-1-1111-1-11111-1-1-1-111
χ1211111111-1-11-1-11-1-1111111-1-1-1-1-111-1-1-1-1111-1-111111-1-1-1-11111-1-1
χ1311111111-1-11-1-11-1-11111-1-1-11111-1-11-111-1-111-1-1-11-1-111-1-11111-1-1
χ1411111111-1-11-1-11-1-11111-1-1-11111-1-11-1-1-11111-1-1-1111-1-111-1-1-1-111
χ1511111111-1-11-1-11-1-11111-1-1-111-1-1111111-1-1-1-11-11-111-1-1-1-111-1-111
χ1611111111-1-11-1-11-1-11111-1-1-111-1-11111-1-111-1-11-11-1-1-11111-1-111-1-1
χ172222222222222-2-2-2-2-22-200-20022-2-20000000-20020000000000000
χ182222222222222-2-2-2-2-22-200-200-2-2220000000200-20000000000000
χ192222222222-2-2-22-2-2-2-2-22222-2-20000200000000-200000000000000
χ202222222222-2-2-22-2-2-2-2-22-2-22220000-200000000200000000000000
χ212222222222-2-2-2-22222-2-200-200000002000020-200-2000000000000
χ222222222222-2-2-2-22222-2-200-20000000-20000-202002000000000000
χ2322222222-2-22-2-2-222-2-22-20020022220000000-200-20000000000000
χ2422222222-2-22-2-2-222-2-22-200200-2-2-2-2000000020020000000000000
χ2522222222-2-2-222222-2-2-2222-2220000-200000000-200000000000000
χ2622222222-2-2-222222-2-2-22-2-2-2-2-20000200000000200000000000000
χ2722222222-2-2-222-2-2-222-2-2002000000020000-20-2002000000000000
χ2822222222-2-2-222-2-2-222-2-20020000000-2000020200-2000000000000
χ294444-4-4-4-44-40000000000000000000000000000000000000002i−2i2i−2i
χ304444-4-4-4-44-4000000000000000000000000000000000000000−2i2i−2i2i
χ314444-4-4-4-4-440000000000000000000000000000000000000002i−2i−2i2i
χ324444-4-4-4-4-44000000000000000000000000000000000000000−2i2i2i−2i
χ3344-4-444-4-400000400000-40004i−4i0000000000000000000000000000
χ3444-4-444-4-400000400000-4000−4i4i0000000000000000000000000000
χ3544-4-444-4-400000-40000044-40000000000000000000000000000000
χ3644-4-444-4-400000-4000004-440000000000000000000000000000000
χ3744-4-4-4-444000000004-40000000000000000000000000000022−220000
χ3844-4-4-4-444000000004-400000000000000000000000000000−22220000
χ3944-4-4-4-44400000000-4400000000000000000000000000022−22000000
χ4044-4-4-4-44400000000-44000000000000000000000000000−2222000000
χ414-44-44-44-40040000000-40000004i−4i00000000000000000000000000
χ424-44-44-44-40040000000-4000000−4i4i00000000000000000000000000
χ434-44-44-44-400-400000004000000004-4000000000000000000000000
χ444-44-44-44-400-40000000400000000-44000000000000000000000000
χ454-44-4-44-440004-40000000000000000002-22-2000000000000000000
χ464-44-4-44-440004-4000000000000000000-22-22000000000000000000
χ474-44-4-44-44000-440000000000000000002-2-22000000000000000000
χ484-44-4-44-44000-44000000000000000000-222-2000000000000000000
χ494-4-444-4-440000004-400000000000000000000000002-22-200000000
χ504-4-444-4-440000004-40000000000000000000000000-22-2200000000
χ514-4-444-4-44000000-4400000000000000000000000002-2-2200000000
χ524-4-444-4-44000000-440000000000000000000000000-222-200000000
χ538-8-88-888-8000000000000000000000000000000000000000000000

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