Finite Group Databasebeta

← Group #177733

Character table — Group #177733

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56
size111111114444444444444488888888888816161616161616161616161616161616161616161616
order12222222224444444444442222224444442224444444888888888888
χ111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111-1-11111-1-11-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111-1-1-1-111-1-1-1-1111-1-1-1-1111-1-1-1-1-1-1-1-11111
χ4111111111111111111111111-1-1-1-111-1-1-1-11-1-1-1-1-1-1-1-1111111111-1-1-1-1
χ51111111111111111111111-1-111-1-1-1-111-1-1-1111-11-111-11111-1-1-1-1-1-1-1-1
χ61111111111111111111111-1-111-1-1-1-111-1-1-1-1-11-11-1-1-1-1-1-1-1-111111111
χ71111111111111111111111-1-1-1-111-1-1-1-111-111-11-1111-1-1-1-1-11111-1-1-1-1
χ81111111111111111111111-1-1-1-111-1-1-1-111-1-1-1-11-11-1-1-11111-1-1-1-11111
χ911111111-1-1-1-1-1-11-1-111111111111-1-1-1-1-1-1-11111-1-1-1-1111-1-111-1-111-1-1
χ1011111111-1-1-1-1-1-11-1-111111111111-1-1-1-1-1-1-1-1-111-1-1111-1-111-1-111-1-111
χ1111111111-1-1-1-1-1-11-1-11111111-1-1-1-1-1-11111-111-1-111-1-11-1-111-1-11111-1-1
χ1211111111-1-1-1-1-1-11-1-11111111-1-1-1-1-1-11111-1-1-1-1-11111111-1-111-1-1-1-111
χ1311111111-1-1-1-1-1-11-1-111111-1-111-1-111-1-1111111-1-11-1-1-111-1-1-1-111-1-111
χ1411111111-1-1-1-1-1-11-1-111111-1-111-1-111-1-1111-1-11-1-1111-1-1-11111-1-111-1-1
χ1511111111-1-1-1-1-1-11-1-111111-1-1-1-1111111-1-1111-111-1-1-1-1-1-11111-1-1-1-111
χ1611111111-1-1-1-1-1-11-1-111111-1-1-1-1111111-1-11-1-1-111-111-111-1-1-1-11111-1-1
χ17222222222222-2-2-2-2-222-2-2-20000220000220000-20-2000000000000000
χ18222222222222-2-2-2-2-222-2-2-20000-2-20000-2-20000202000000000000000
χ192222222222-2-222-2-2-2-2-222-2002200002200000-20-20000000000000000
χ202222222222-2-222-2-2-2-2-222-200-2-20000-2-2000002020000000000000000
χ212222222222-2-2-2-2222-2-2-2-22220000-2-20000200000000-2000000000000
χ222222222222-2-2-2-2222-2-2-2-22-2-20000220000-2000000002000000000000
χ2322222222-2-222222-2-2-2-2-2-22220000220000-200000000-2000000000000
χ2422222222-2-222222-2-2-2-2-2-22-2-20000-2-200002000000002000000000000
χ2522222222-2-222-2-2-222-2-222-200220000-2-200000-2020000000000000000
χ2622222222-2-222-2-2-222-2-222-200-2-20000220000020-20000000000000000
χ2722222222-2-2-2-222-22222-2-2-20000220000-2-20000-202000000000000000
χ2822222222-2-2-2-222-22222-2-2-20000-2-2000022000020-2000000000000000
χ29444-44-4-4-400004i−4i00000000000000000000000000000000002-22i−2i0000
χ30444-44-4-4-400004i−4i0000000000000000000000000000000000-22−2i2i0000
χ31444-44-4-4-40000−4i4i00000000000000000000000000000000002-2−2i2i0000
χ32444-44-4-4-40000−4i4i0000000000000000000000000000000000-222i−2i0000
χ3344-44-44-4-4004i−4i000000000000000000000000000000002-22i−2i00000000
χ3444-44-44-4-4004i−4i00000000000000000000000000000000-22−2i2i00000000
χ3544-44-44-4-400−4i4i000000000000000000000000000000002-2−2i2i00000000
χ3644-44-44-4-400−4i4i00000000000000000000000000000000-222i−2i00000000
χ3744-4-4-4-4444-40000000000000000000000000000000000000000002-22-2
χ3844-4-4-4-4444-4000000000000000000000000000000000000000000-22-22
χ3944-4-4-4-444-440000000000000000000000000000000000000000002-2-22
χ4044-4-4-4-444-44000000000000000000000000000000000000000000-222-2
χ414-444-4-44-40000004000000-40000004i−4i00000000000000000000000000
χ424-444-4-44-40000004000000-4000000−4i4i00000000000000000000000000
χ434-444-4-44-4000000-400000044-400000000000000000000000000000000
χ444-444-4-44-4000000-40000004-4400000000000000000000000000000000
χ454-44-4-44-44000000000004-40000000004-4000000000000000000000000
χ464-44-4-44-44000000000004-4000000000-44000000000000000000000000
χ474-44-4-44-4400000000000-440004-4000000000000000000000000000000
χ484-44-4-44-4400000000000-44000-44000000000000000000000000000000
χ494-4-444-4-440000000004-400000000000004-40000000000000000000000
χ504-4-444-4-440000000004-40000000000000-440000000000000000000000
χ514-4-444-4-44000000000-4400000004-40000000000000000000000000000
χ524-4-444-4-44000000000-440000000-440000000000000000000000000000
χ534-4-4-4444-400000004-40000000000000000002-200002-20000000000000
χ544-4-4-4444-400000004-4000000000000000000-220000-220000000000000
χ554-4-4-4444-40000000-440000000000000000002-20000-220000000000000
χ564-4-4-4444-40000000-44000000000000000000-2200002-20000000000000

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