Finite Group Databasebeta

← Group #179911

Character table — Group #179911

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53
size11111111444444444444888888888161616161616161616161616161616161616161616161616
order12222222224444444444488888888222244444444444488888888
χ111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111-111-1-1-1-1-1111-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111-1-1-11-1-1111-1-1-1-1-1-1-11111-1-1-1-1
χ411111111111111111111111111111-1-1-1-1-1-1-1-1-111-1-1-111-1-1-1-11111
χ5111111111111111111111-1-1-1-1-1-1-1-111-11-1-1111-1-111-1-1-1-1-1-1-11111
χ6111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-11111-1111111-1-1-1-1
χ7111111111111111111111-1-1-1-1-1-1-1-1-1-1111111111-1-1111-1-1-1-1-1-1-1-1
χ8111111111111111111111-1-1-1-1-1-1-1-1-1-11-111-1-1-1-1-1-1-11-1-111111111
χ911111111-1-11-1-11-1-11111-11111-1-1-1-111111-11-1-11-1-1-1-11-111-1-111-1-1
χ1011111111-1-11-1-11-1-11111-11111-1-1-1-1111-11-1-111-11-1-1-1-11-1-111-1-111
χ1111111111-1-11-1-11-1-11111-11111-1-1-1-1-1-1-11-111-1-1-11111-1111-1-1-1-111
χ1211111111-1-11-1-11-1-11111-11111-1-1-1-1-1-1-1-1-11-1111-11111-1-1-11111-1-1
χ1311111111-1-11-1-11-1-11111-1-1-1-1-1111111-11-111-1-1-11-1-11-11-1-11111-1-1
χ1411111111-1-11-1-11-1-11111-1-1-1-1-1111111-1-1-11-1111-1-1-111-111-1-1-1-111
χ1511111111-1-11-1-11-1-11111-1-1-1-1-11111-1-1111-11-1-11-111-11-1-1-111-1-111
χ1611111111-1-11-1-11-1-11111-1-1-1-1-11111-1-11-11-1-111-1111-1-1111-1-111-1-1
χ172222222222222-2-2-2-2-22-2-2000000000020-2-2000000020000000000
χ182222222222222-2-2-2-2-22-2-20000000000-20220000000-20000000000
χ192222222222-2-2-22-2-2-2-2-22200000000000200-2-22000000000000000
χ202222222222-2-2-22-2-2-2-2-22200000000000-20022-2000000000000000
χ212222222222-2-2-2-22222-2-2-2000000000000000002-2000-2200000000
χ222222222222-2-2-2-22222-2-2-200000000000000000-220002-200000000
χ2322222222-2-22-2-2-222-2-22-22000000000020-220000000-20000000000
χ2422222222-2-22-2-2-222-2-22-220000000000-202-2000000020000000000
χ2522222222-2-2-222222-2-2-22-200000000000200-22-2000000000000000
χ2622222222-2-2-222222-2-2-22-200000000000-2002-22000000000000000
χ2722222222-2-2-222-2-2-222-2-220000000000000000022000-2-200000000
χ2822222222-2-2-222-2-2-222-2-2200000000000000000-2-20002200000000
χ29444-44-4-4-400000400000-402222−22−220000000000000000000000000000
χ30444-44-4-4-400000400000-40−22−2222220000000000000000000000000000
χ31444-44-4-4-400000-4000004000002i22i2−2i2−2i2000000000000000000000000
χ32444-44-4-4-400000-400000400000−2i2−2i22i22i2000000000000000000000000
χ3344-44-44-4-40040000000-400000000000000000000000000000022−2200
χ3444-44-44-4-40040000000-4000000000000000000000000000000−222200
χ3544-44-44-4-400-400000004000000000000000000000000000000002i2−2i2
χ3644-44-44-4-400-40000000400000000000000000000000000000000−2i22i2
χ3744-4-4-4-4444-4000000000000000000000000000000000002-22-20000
χ3844-4-4-4-4444-400000000000000000000000000000000000-22-220000
χ3944-4-4-4-444-44000000000000000000000000000000000002-2-220000
χ4044-4-4-4-444-4400000000000000000000000000000000000-222-20000
χ414-444-4-44-40000004i−4i000002-22-22i−2i2i−2i000000000000000000000000
χ424-444-4-44-40000004i−4i00000-22-22−2i2i−2i2i000000000000000000000000
χ434-444-4-44-4000000−4i4i000002-22-2−2i2i−2i2i000000000000000000000000
χ444-444-4-44-4000000−4i4i00000-22-222i−2i2i−2i000000000000000000000000
χ454-44-4-44-44000000004-4000000022−22−2222000000000000000000000000
χ464-44-4-44-44000000004-40000000−222222−22000000000000000000000000
χ474-44-4-44-4400000000-4400022−22−22220000000000000000000000000000
χ484-44-4-44-4400000000-44000−222222−220000000000000000000000000000
χ494-4-444-4-440004-400000000000000002-20000000002-200000000000
χ504-4-444-4-440004-40000000000000000-22000000000-2200000000000
χ514-4-444-4-44000-4400000000000000002-2000000000-2200000000000
χ524-4-444-4-44000-440000000000000000-220000000002-200000000000
χ538-8-8-8888-8000000000000000000000000000000000000000000000

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