Finite Group Databasebeta

← Group #177789

Character table — Group #177789

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56
size111111114444444444444488888888888816161616161616161616161616161616161616161616
order12222222224444444444442244444444442224444444888888888888
χ111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111-1-1-1-1-1-1-1-1111-1-11-1-111-1-1-1-1-1-1-1-11111
χ411111111111111111111111111-1-1-1-1-1-1-1-11-1-1-1-11-1-1-1-111111111-1-1-1-1
χ51111111111111111111111-1-1-1-111-1-111-1-1-1111-1-11-1111111-1-1-1-1-1-1-1-1
χ61111111111111111111111-1-1-1-111-1-111-1-1-1-1-11-1-11-1-1-1-1-1-1-111111111
χ71111111111111111111111-1-1-1-1-1-111-1-111-111-11-1-1111-1-1-1-11111-1-1-1-1
χ81111111111111111111111-1-1-1-1-1-111-1-111-1-1-1-11-1-11-1-11111-1-1-1-11111
χ911111111-1-1-1-1-1-11-1-11111111-1-11111-1-1-1-1-111-1-1111-1-111-1-111-1-111-1-1
χ1011111111-1-1-1-1-1-11-1-11111111-1-11111-1-1-1-1-1-1-1-1-111111-1-111-1-111-1-111
χ1111111111-1-1-1-1-1-11-1-11111111-1-1-1-1-1-11111-111111-1-1-1-1-1-111-1-11111-1-1
χ1211111111-1-1-1-1-1-11-1-11111111-1-1-1-1-1-11111-1-1-1111-1-11111-1-111-1-1-1-111
χ1311111111-1-1-1-1-1-11-1-111111-1-11111-1-1-1-111111-11-11-1-1-111-1-1-1-111-1-111
χ1411111111-1-1-1-1-1-11-1-111111-1-11111-1-1-1-1111-1-1-11-11-111-1-11111-1-111-1-1
χ1511111111-1-1-1-1-1-11-1-111111-1-111-1-11111-1-11111-1-1-11-1-1-1-11111-1-1-1-111
χ1611111111-1-1-1-1-1-11-1-111111-1-111-1-11111-1-11-1-11-1-1-111111-1-1-1-11111-1-1
χ17222222222222-2-2-2-2-222-2-2-20000002200220000-200-200000000000000
χ18222222222222-2-2-2-2-222-2-2-2000000-2-200-2-20000200200000000000000
χ192222222222-2-222-2-2-2-2-222-2000022002200000-200-2000000000000000
χ202222222222-2-222-2-2-2-2-222-20000-2-200-2-2000002002000000000000000
χ212222222222-2-2-2-2222-2-2-2-2222-2-20000000020000-20000000000000000
χ222222222222-2-2-2-2222-2-2-2-22-2-22200000000-2000020000000000000000
χ2322222222-2-222222-2-2-2-2-2-22222200000000-20000-20000000000000000
χ2422222222-2-222222-2-2-2-2-2-22-2-2-2-2000000002000020000000000000000
χ2522222222-2-222-2-2-222-2-222-200002200-2-200000200-2000000000000000
χ2622222222-2-222-2-2-222-2-222-20000-2-2002200000-2002000000000000000
χ2722222222-2-2-2-222-22222-2-2-20000002200-2-20000200-200000000000000
χ2822222222-2-2-2-222-22222-2-2-2000000-2-200220000-200200000000000000
χ29444-4-4-4-440000004000000-4004i−4i000000000000000000000000000000
χ30444-4-4-4-440000004000000-400−4i4i000000000000000000000000000000
χ31444-4-4-4-44000000-400000044-400000000000000000000000000000000
χ32444-4-4-4-44000000-40000004-4400000000000000000000000000000000
χ3344-444-4-4-40000000004-400000000000004i−4i0000000000000000000000
χ3444-444-4-4-40000000004-40000000000000−4i4i0000000000000000000000
χ3544-444-4-4-4000000000-440000000004i−4i00000000000000000000000000
χ3644-444-4-4-4000000000-44000000000−4i4i00000000000000000000000000
χ3744-4-4-444-4004i−4i000000000000000000000000000000002-22i−2i00000000
χ3844-4-4-444-4004i−4i00000000000000000000000000000000-22−2i2i00000000
χ3944-4-4-444-400−4i4i000000000000000000000000000000002-2−2i2i00000000
χ4044-4-4-444-400−4i4i00000000000000000000000000000000-222i−2i00000000
χ414-444-44-4-400004i−4i00000000000000000000000000000000002-22i−2i0000
χ424-444-44-4-400004i−4i0000000000000000000000000000000000-22−2i2i0000
χ434-444-44-4-40000−4i4i00000000000000000000000000000000002-2−2i2i0000
χ444-444-44-4-40000−4i4i0000000000000000000000000000000000-222i−2i0000
χ454-44-44-44-4000000000004-40000000004i−4i000000000000000000000000
χ464-44-44-44-4000000000004-4000000000−4i4i000000000000000000000000
χ474-44-44-44-400000000000-44000004i−4i0000000000000000000000000000
χ484-44-44-44-400000000000-4400000−4i4i0000000000000000000000000000
χ494-4-44-4-44400000004-40000000000000000002-2000002-2000000000000
χ504-4-44-4-44400000004-4000000000000000000-2200000-22000000000000
χ514-4-44-4-4440000000-440000000000000000002-200000-22000000000000
χ524-4-44-4-4440000000-44000000000000000000-22000002-2000000000000
χ534-4-4-444-444-40000000000000000000000000000000000000000002-22-2
χ544-4-4-444-444-4000000000000000000000000000000000000000000-22-22
χ554-4-4-444-44-440000000000000000000000000000000000000000002-2-22
χ564-4-4-444-44-44000000000000000000000000000000000000000000-222-2

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