Finite Group Databasebeta

← Group #175129

Character table — Group #175129

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53
size11111111444444444444888888888161616161616161616161616161616161616161616161616
order12222222224444444444444444444244444444444888888888888
χ111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111-1-1111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111-1-111-1-1-11-1-1-1111-1-1111111-1-1-1-1-1-1-1-1
χ411111111111111111111111-1-111-1-1-11-1-1-1-1-11-1-1-1-1-1-1-1-111111111
χ5111111111111111111111-1-111-1-111-1-11-1-111-11-111-1-1-1-11111-1-1-1-1
χ6111111111111111111111-1-111-1-111-1-11-1-1-1-1-11-1-1-11111-1-1-1-11111
χ7111111111111111111111-1-1-1-1-1-1-1-11-1-11111-1-1111-1-1-1-1-1-1-1-11111
χ8111111111111111111111-1-1-1-1-1-1-1-11-1-111-1-1-1-11-1-111111111-1-1-1-1
χ911111111-1-11-1-11-1-11111-11111-1-1-1-111-1-1-111-111-1-111-1-111-1-111-1-1
χ1011111111-1-11-1-11-1-11111-11111-1-1-1-111-1-1-1-1-1-11111-1-111-1-111-1-111
χ1111111111-1-11-1-11-1-11111-111-1-1-1-111-1111111-1-1-1-1-111-1-1-1-111-1-111
χ1211111111-1-11-1-11-1-11111-111-1-1-1-111-11111-1-1-1-1-111-1-11111-1-111-1-1
χ1311111111-1-11-1-11-1-11111-1-1-11111-1-1-1-1-1111111-1-1-1-1-11111-1-1-1-111
χ1411111111-1-11-1-11-1-11111-1-1-11111-1-1-1-1-111-1-111-11111-1-1-1-11111-1-1
χ1511111111-1-11-1-11-1-11111-1-1-1-1-111111-11-1-1111-11-1-1-1-111-1-11111-1-1
χ1611111111-1-11-1-11-1-11111-1-1-1-1-111111-11-1-1-1-11-111111-1-111-1-1-1-111
χ1722222222222-2-2-2-2-2-2-22-22000000002002-20000-200000000000000
χ1822222222222-2-2-2-2-2-2-22-2200000000-200-220000200000000000000
χ192222222222-222-2-2-222-2-2-2220022000-200000-20000000000000000
χ202222222222-222-2-2-222-2-2-2-2-200-2-200020000020000000000000000
χ212222222222-2-2-2222-2-2-22-2002200-2-200200000-2000000000000000
χ222222222222-2-2-2222-2-2-22-200-2-2002200-2000002000000000000000
χ2322222222-2-2222-222-2-22-2-200000000200-220000-200000000000000
χ2422222222-2-2222-222-2-22-2-200000000-2002-20000200000000000000
χ2522222222-2-2-2222-2-2-2-2-2220022002200-200000-2000000000000000
χ2622222222-2-2-2222-2-2-2-2-22200-2-200-2-2002000002000000000000000
χ2722222222-2-2-2-2-2-22222-2-222200-2-2000-20000020000000000000000
χ2822222222-2-2-2-2-2-22222-2-22-2-20022000200000-20000000000000000
χ294444-4-4-4-40040000000-4000000000000000000000022−220000000000
χ304444-4-4-4-40040000000-40000000000000000000000−22220000000000
χ314444-4-4-4-400-4000000040000000000000000000000002i2−2i200000000
χ324444-4-4-4-400-400000004000000000000000000000000−2i22i200000000
χ3344-4-44-44-40004i−4i0000000000000000000000000000000000002i−2i2-2
χ3444-4-44-44-40004i−4i000000000000000000000000000000000000−2i2i-22
χ3544-4-44-44-4000−4i4i0000000000000000000000000000000000002i−2i-22
χ3644-4-44-44-4000−4i4i000000000000000000000000000000000000−2i2i2-2
χ3744-4-4-44-444-40000000000000000000000002i−2i0002i−2i000000000000
χ3844-4-4-44-444-4000000000000000000000000−2i2i000−2i2i000000000000
χ3944-4-4-44-44-440000000000000000000000002i−2i000−2i2i000000000000
χ4044-4-4-44-44-44000000000000000000000000−2i2i0002i−2i000000000000
χ414-44-44-4-440000004-4000000000000000000000000000002i−2i2i−2i0000
χ424-44-44-4-440000004-400000000000000000000000000000−2i2i−2i2i0000
χ434-44-44-4-44000000-44000000000000000000000000000002i−2i−2i2i0000
χ444-44-44-4-44000000-4400000000000000000000000000000−2i2i2i−2i0000
χ454-44-4-444-4000000004-400000004i−4i00000000000000000000000000
χ464-44-4-444-4000000004-40000000−4i4i00000000000000000000000000
χ474-44-4-444-400000000-440004i−4i000000000000000000000000000000
χ484-44-4-444-400000000-44000−4i4i000000000000000000000000000000
χ494-4-44-4-44400000400000-40004i−4i0000000000000000000000000000
χ504-4-44-4-44400000400000-4000−4i4i0000000000000000000000000000
χ514-4-44-4-44400000-400000400000004-4000000000000000000000000
χ524-4-44-4-44400000-40000040000000-44000000000000000000000000
χ538-8-8888-8-8000000000000000000000000000000000000000000000

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