Finite Group Databasebeta

← Group #179748

Character table — Group #179748

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53
size11111111444444444444888888888161616161616161616161616161616161616161616161616
order12222222444444444444488888888444444444444444488888888
χ111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111-1-11-1-1-1-1-1-1-1-1-1-11111-1-1-1-1
χ311111111111111111111111111111-1-1-111-1111-1-1111-1-1-1-1-1-1-1-1-1-1
χ411111111111111111111111111111-1-1-1-1-1-1-1-1-111-1-1-111-1-1-1-11111
χ5111111111111111111111-1-1-1-1-1-1-1-11111111-1-1111-1-111-1-1-1-1-1-1-1-1
χ6111111111111111111111-1-1-1-1-1-1-1-1111-1-11-111-1-1-111-1-1-1-1-1-11111
χ7111111111111111111111-1-1-1-1-1-1-1-1-1-1-111-11-1-1-1-11-1-1-1-111111111
χ8111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-111111111-1-1-1-1
χ911111111-1-1-1-1-1-1111111-11111-1-1-1-11-1-11-111111-1-1-1-11-111-1-111-1-1
χ1011111111-1-1-1-1-1-1111111-11111-1-1-1-11-1-1-111-1-1-1-11111-1111-1-1-1-111
χ1111111111-1-1-1-1-1-1111111-11111-1-1-1-1-1111-1-1111-11-1-1-1-11-1-111-1-111
χ1211111111-1-1-1-1-1-1111111-11111-1-1-1-1-111-11-1-1-1-11-11111-1-1-11111-1-1
χ1311111111-1-1-1-1-1-1111111-1-1-1-1-111111-1-11-111-1-11-1-1111-1-1-111-1-111
χ1411111111-1-1-1-1-1-1111111-1-1-1-1-111111-1-1-111-111-111-1-1-11-1-11111-1-1
χ1511111111-1-1-1-1-1-1111111-1-1-1-1-11111-1111-1-11-1-1-11-111-1111-1-111-1-1
χ1611111111-1-1-1-1-1-1111111-1-1-1-1-11111-111-11-1-1111-11-1-11-111-1-1-1-111
χ17222222222222-2-22-2-2-2-22-20000000022-200-2000000000000000000
χ18222222222222-2-22-2-2-2-22-200000000-2-22002000000000000000000
χ192222222222-2-222-222-2-2-2-2000000000000000002-2000-2200000000
χ202222222222-2-222-222-2-2-2-200000000000000000-220002-200000000
χ212222222222-2-2-2-2-2-2-222-22000000000002-20-200002000000000000
χ222222222222-2-2-2-2-2-2-222-2200000000000-22020000-2000000000000
χ2322222222-2-22222-2-2-222-2-200000000000220-20000-2000000000000
χ2422222222-2-22222-2-2-222-2-200000000000-2-20200002000000000000
χ2522222222-2-222-2-2-222-2-2-220000000000000000022000-2-200000000
χ2622222222-2-222-2-2-222-2-2-2200000000000000000-2-20002200000000
χ2722222222-2-2-2-2222-2-2-2-222000000002-2200-2000000000000000000
χ2822222222-2-2-2-2222-2-2-2-22200000000-22-2002000000000000000000
χ29444-4-44-4-400000004-4000000002222−22−22000000000000000000000000
χ30444-4-44-4-400000004-400000000−22−222222000000000000000000000000
χ31444-4-44-4-40000000-4400002222−22−220000000000000000000000000000
χ32444-4-44-4-40000000-440000−22−2222220000000000000000000000000000
χ3344-444-4-4-40000000004-4000000000000000000000000000022−220000
χ3444-444-4-4-40000000004-40000000000000000000000000000−22220000
χ3544-444-4-4-4000000000-440000000000000000000000000022−22000000
χ3644-444-4-4-4000000000-4400000000000000000000000000−2222000000
χ3744-4-4-4-444004-400000000000000000000000000000000000002i−2i2i−2i
χ3844-4-4-4-444004-40000000000000000000000000000000000000−2i2i−2i2i
χ3944-4-4-4-44400-4400000000000000000000000000000000000002i−2i−2i2i
χ4044-4-4-4-44400-440000000000000000000000000000000000000−2i2i2i−2i
χ414-444-4-4-4400004i−4i00000000000000000000002i−2i0002-20000000000
χ424-444-4-4-4400004i−4i0000000000000000000000−2i2i000-220000000000
χ434-444-4-4-440000−4i4i00000000000000000000002i−2i000-220000000000
χ444-444-4-4-440000−4i4i0000000000000000000000−2i2i0002-20000000000
χ454-4-44-444-44i−4i000000000002-22-22i−2i2i−2i000000000000000000000000
χ464-4-44-444-44i−4i00000000000-22-22−2i2i−2i2i000000000000000000000000
χ474-4-44-444-4−4i4i000000000002-22-2−2i2i−2i2i000000000000000000000000
χ484-4-44-444-4−4i4i00000000000-22-222i−2i2i−2i000000000000000000000000
χ494-4-4-444-4400000040000-4000002i2−2i2−2i22i2000000000000000000000000
χ504-4-4-444-4400000040000-400000−2i22i22i2−2i2000000000000000000000000
χ514-4-4-444-44000000-400004022−22−22220000000000000000000000000000
χ524-4-4-444-44000000-4000040−222222−220000000000000000000000000000
χ538-88-88-88-8000000000000000000000000000000000000000000000

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