Finite Group Databasebeta

← Group #175144

Character table — Group #175144

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53
size11111111444444444444888888888161616161616161616161616161616161616161616161616
order12222222224444444444444444444224444444444888888888888
χ111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111-1-11-1-11-1-1-1-11-1-111111111-1-1-1-1-1-1-1-1
χ4111111111111111111111111-1-11-1-11-1-1-1-11-1-1-1-1-1-1-1-1-1-111111111
χ511111111111111111111-1-1-1-111111-1-1-1-11-11-11111-1-1-1-11111-1-1-1-1
χ611111111111111111111-1-1-1-111111-1-1-1-11-11-1-1-1-1-11111-1-1-1-11111
χ711111111111111111111-1-1-1-1-1-11-1-1-1111-1-1-111111-1-1-1-1-1-1-1-11111
χ811111111111111111111-1-1-1-1-1-11-1-1-1111-1-1-11-1-1-1-111111111-1-1-1-1
χ911111111-1-11-1-11-1-1111111-1-111-1-1-1-1-11-1-111111-1-111-1-111-1-111-1-1
χ1011111111-1-11-1-11-1-1111111-1-111-1-1-1-1-11-1-1111-1-111-1-111-1-111-1-111
χ1111111111-1-11-1-11-1-1111111-1-1-1-1-111-11-1111-1-111-1-111-1-1-1-111-1-111
χ1211111111-1-11-1-11-1-1111111-1-1-1-1-111-11-1111-1-1-1-111-1-11111-1-111-1-1
χ1311111111-1-11-1-11-1-11111-1-11111-1-1-111-11-1-11-111-1-1-1-11111-1-1-1-111
χ1411111111-1-11-1-11-1-11111-1-11111-1-1-111-11-1-11-1-1-11111-1-1-1-11111-1-1
χ1511111111-1-11-1-11-1-11111-1-111-1-1-1111-11-11-1-1111-1-1-1-111-1-11111-1-1
χ1611111111-1-11-1-11-1-11111-1-111-1-1-1111-11-11-1-11-1-11111-1-111-1-1-1-111
χ172222222222222-2-2-2-2-22-2000022-2-2-2000020-200000000000000000
χ182222222222222-2-2-2-2-22-20000-2-2-2220000-20200000000000000000
χ192222222222-2-2-22-2-2-2-2-2200000020002-2-200020000000000000000
χ202222222222-2-2-22-2-2-2-2-220000002000-222000-20000000000000000
χ212222222222-2-2-2-22222-2-2222200-200-20000-2000000000000000000
χ222222222222-2-2-2-22222-2-2-2-2-2-200-200200002000000000000000000
χ2322222222-2-22-2-2-222-2-22-20000222220000-20-200000000000000000
χ2422222222-2-22-2-2-222-2-22-20000-2-22-2-2000020200000000000000000
χ2522222222-2-2-222222-2-2-22000000-200022-2000-20000000000000000
χ2622222222-2-2-222222-2-2-22000000-2000-2-2200020000000000000000
χ2722222222-2-2-222-2-2-222-2-222-2-20020020000-2000000000000000000
χ2822222222-2-2-222-2-2-222-2-2-2-22200200-200002000000000000000000
χ294444-4-4-4-40004-4000000000000000000000000000000002-22-20000
χ304444-4-4-4-40004-400000000000000000000000000000000-22-220000
χ314444-4-4-4-4000-44000000000000000000000000000000002-2-220000
χ324444-4-4-4-4000-4400000000000000000000000000000000-222-20000
χ3344-4-444-4-40040000000-4000004-4000000000000000000000000000
χ3444-4-444-4-40040000000-400000-44000000000000000000000000000
χ3544-4-444-4-400-400000004000000004i−4i000000000000000000000000
χ3644-4-444-4-400-40000000400000000−4i4i000000000000000000000000
χ3744-4-4-4-4444-40000000000000000000000000002-22-2000000000000
χ3844-4-4-4-4444-4000000000000000000000000000-22-22000000000000
χ3944-4-4-4-444-440000000000000000000000000002-2-22000000000000
χ4044-4-4-4-444-44000000000000000000000000000-222-2000000000000
χ414-44-44-44-40000004i−4i0000000000000000000000000000000002i−2i2-2
χ424-44-44-44-40000004i−4i000000000000000000000000000000000−2i2i-22
χ434-44-44-44-4000000−4i4i0000000000000000000000000000000002i−2i-22
χ444-44-44-44-4000000−4i4i000000000000000000000000000000000−2i2i2-2
χ454-4-444-4-44000000004-400004i−4i00000000000000000000000000000
χ464-4-444-4-44000000004-40000−4i4i00000000000000000000000000000
χ474-4-444-4-4400000000-44004i−4i0000000000000000000000000000000
χ484-4-444-4-4400000000-4400−4i4i0000000000000000000000000000000
χ494-4-44-444-400000400000-40000000000000000000002i2−2i20000000000
χ504-4-44-444-400000400000-4000000000000000000000−2i22i20000000000
χ514-4-44-444-400000-40000040000000000000000000000022−2200000000
χ524-4-44-444-400000-400000400000000000000000000000−222200000000
χ538-88-8-88-88000000000000000000000000000000000000000000000

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