Finite Group Databasebeta

← Group #177859

Character table — Group #177859

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56
size111111114444444444444488888888888816161616161616161616161616161616161616161616
order12222222444444444444442244444444444444444444888888888888
χ111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1
χ411111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11-1-11-1-1-1-1-1-111111111
χ51111111111111111111111-1-1-1-111-1-111-1-111-1-1-111-111-1-1-1-11111-1-1-1-1
χ61111111111111111111111-1-1-1-111-1-111-1-111-1-1-1-1-1-1-1-11111-1-1-1-11111
χ71111111111111111111111-1-1-1-1-1-111-1-111-1-111-111-111-1-1-1-1-1-1-1-11111
χ81111111111111111111111-1-1-1-1-1-111-1-111-1-111-1-1-1-1-1-111111111-1-1-1-1
χ911111111-1-1-1-111-1-1-1-1111111-1-11111-1-1-1-11-11-1111-1-1-111-1-111-1-111-1-1
χ1011111111-1-1-1-111-1-1-1-1111111-1-11111-1-1-1-11-11-11-1-1-111-1-111-1-111-1-111
χ1111111111-1-1-1-111-1-1-1-1111111-1-1-1-1-1-11111-11-11111-1-1-111-1-1-1-111-1-111
χ1211111111-1-1-1-111-1-1-1-1111111-1-1-1-1-1-11111-11-111-1-1-111-1-11111-1-111-1-1
χ1311111111-1-1-1-111-1-1-1-11111-1-11111-1-1-1-1111-1-11-1111-1-1-1-11111-1-1-1-111
χ1411111111-1-1-1-111-1-1-1-11111-1-11111-1-1-1-1111-1-11-1-1-111111-1-1-1-11111-1-1
χ1511111111-1-1-1-111-1-1-1-11111-1-111-1-11111-1-1-111-1-1111-1-1-1-111-1-11111-1-1
χ1611111111-1-1-1-111-1-1-1-11111-1-111-1-11111-1-1-111-1-1-1-111111-1-111-1-1-1-111
χ17222222222222-2-2-2-2-2-222-2-22222000000000000-200-200000000000000
χ18222222222222-2-2-2-2-2-222-2-2-2-2-2-2000000000000200200000000000000
χ192222222222-2-22-222-2-2-2-22-20000002200-2-200-22000000000000000000
χ202222222222-2-22-222-2-2-2-22-2000000-2-20022002-2000000000000000000
χ212222222222-2-2-22-2-222-2-2-22000022002200-2-200000000000000000000
χ222222222222-2-2-22-2-222-2-2-220000-2-200-2-2002200000000000000000000
χ2322222222-2-2222-2-2-222-2-22-200000022002200-2-2000000000000000000
χ2422222222-2-2222-2-2-222-2-22-2000000-2-200-2-20022000000000000000000
χ2522222222-2-222-2222-2-2-2-2-2200002200-2-200-2200000000000000000000
χ2622222222-2-222-2222-2-2-2-2-220000-2-20022002-200000000000000000000
χ2722222222-2-2-2-2-2-2222222-2-222-2-2000000000000-200200000000000000
χ2822222222-2-2-2-2-2-2222222-2-2-2-222000000000000200-200000000000000
χ29444-4-44-4-400000000004-400004-4000000000000000000000000000000
χ30444-4-44-4-400000000004-40000-44000000000000000000000000000000
χ31444-4-44-4-40000000000-44004-400000000000000000000000000000000
χ32444-4-44-4-40000000000-4400-4400000000000000000000000000000000
χ3344-44-4-44-4000040000000-400000004-400000000000000000000000000
χ3444-44-4-44-4000040000000-40000000-4400000000000000000000000000
χ3544-44-4-44-40000-400000004000000000004i−4i0000000000000000000000
χ3644-44-4-44-40000-40000000400000000000−4i4i0000000000000000000000
χ3744-4-44-4-44004i−4i0000000000000000000000000000000000002-22i−2i0000
χ3844-4-44-4-44004i−4i000000000000000000000000000000000000-22−2i2i0000
χ3944-4-44-4-4400−4i4i0000000000000000000000000000000000002-2−2i2i0000
χ4044-4-44-4-4400−4i4i000000000000000000000000000000000000-222i−2i0000
χ414-444-4-4-444i−4i0000000000000000000000000000000000000000002-22i−2i
χ424-444-4-4-444i−4i000000000000000000000000000000000000000000-22−2i2i
χ434-444-4-4-44−4i4i0000000000000000000000000000000000000000002-2−2i2i
χ444-444-4-4-44−4i4i000000000000000000000000000000000000000000-222i−2i
χ454-44-44-44-40000040000000-400004-40000000000000000000000000000
χ464-44-44-44-40000040000000-40000-440000000000000000000000000000
χ474-44-44-44-400000-400000004000000004i−4i000000000000000000000000
χ484-44-44-44-400000-40000000400000000−4i4i000000000000000000000000
χ494-4-4444-4-40000004i−4i000000000000000000000002-202i−2i000000000000
χ504-4-4444-4-40000004i−4i00000000000000000000000-220−2i2i000000000000
χ514-4-4444-4-4000000−4i4i000000000000000000000002-20−2i2i000000000000
χ524-4-4444-4-4000000−4i4i00000000000000000000000-2202i−2i000000000000
χ534-4-4-4-4444000000004-4000000000000000000000000002-22-200000000
χ544-4-4-4-4444000000004-400000000000000000000000000-22-2200000000
χ554-4-4-4-444400000000-44000000000000000000000000002-2-2200000000
χ564-4-4-4-444400000000-4400000000000000000000000000-222-200000000

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