Finite Group Databasebeta

← Group #180398

Character table — Group #180398

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50
size111111114444444444888888888816161616161616161616161616161616161616163232
order12222222444444444444888888882224444444448888888844
χ111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111-1-1111-1-1-1-1-1-1-1-1-1-1-1-1-1-111
χ31111111111111111111111111111-11-1-1-1-111-1-11-11111-1-1-1-1-1-1
χ41111111111111111111111111111-1-11-1-1-1-1-111-11-1-1-1-11111-1-1
χ511111111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1
χ611111111111111111111-1-1-1-1-1-1-1-11-1-1111-1-1-1-1-1-111111111-1-1
χ711111111111111111111-1-1-1-1-1-1-1-1-11-1-1-1-111-1-11-1-1-1-1-1111111
χ811111111111111111111-1-1-1-1-1-1-1-1-1-11-1-1-1-1-111-111111-1-1-1-111
χ911111111-1-1-1-1111111-1-11111-1-1-1-1111-11-11-11-1-1-111-1-111-1-11-1
χ1011111111-1-1-1-1111111-1-11111-1-1-1-11-1-1-11-1-11-1111-1-111-1-1111-1
χ1111111111-1-1-1-1111111-1-11111-1-1-1-1-11-11-111-1-11-1111-1-1-1-111-11
χ1211111111-1-1-1-1111111-1-11111-1-1-1-1-1-111-11-111-11-1-1-11111-1-1-11
χ1311111111-1-1-1-1111111-1-1-1-1-1-11111111-11-11-11-1-1-1-1-111-1-111-11
χ1411111111-1-1-1-1111111-1-1-1-1-1-111111-1-1-11-1-11-111111-1-111-1-1-11
χ1511111111-1-1-1-1111111-1-1-1-1-1-11111-11-11-111-1-11-11-1-11111-1-11-1
χ1611111111-1-1-1-1111111-1-1-1-1-1-11111-1-111-11-111-11-111-1-1-1-1111-1
χ172222222222222-2-2-22-2-2-2000000002002-2-20000000000000000
χ182222222222222-2-2-22-2-2-200000000-200-2220000000000000000
χ192222222222-2-2-22-2-2-222-200000000020000-2200-200000000000
χ202222222222-2-2-22-2-2-222-2000000000-200002-200200000000000
χ212222222222-2-2-2-222-2-2-220000000000200000-2-2020000000000
χ222222222222-2-2-2-222-2-2-220000000000-200000220-20000000000
χ2322222222-2-222-22-2-2-22-2200000000020000-2-200200000000000
χ2422222222-2-222-22-2-2-22-22000000000-200002200-200000000000
χ2522222222-2-222-2-222-2-22-20000000000200000-220-20000000000
χ2622222222-2-222-2-222-2-22-20000000000-2000002-2020000000000
χ2722222222-2-2-2-22-2-2-22-22200000000200-2-220000000000000000
χ2822222222-2-2-2-22-2-2-22-22200000000-20022-20000000000000000
χ2944-44-4-44-4004i−4i000000000000000000000000000000002-22i−2i00
χ3044-44-4-44-4004i−4i00000000000000000000000000000000-22−2i2i00
χ3144-44-4-44-400−4i4i000000000000000000000000000000002-2−2i2i00
χ3244-44-4-44-400−4i4i00000000000000000000000000000000-222i−2i00
χ3344-4-44-4-444i−4i00000000002i2i−2i−2i22-2-20000000000000000000000
χ3444-4-44-4-444i−4i0000000000−2i−2i2i2i-2-2220000000000000000000000
χ3544-4-44-4-44−4i4i00000000002i2i−2i−2i-2-2220000000000000000000000
χ3644-4-44-4-44−4i4i0000000000−2i−2i2i2i22-2-20000000000000000000000
χ374-4444-4-4-40000004-4000000002i2−2i22i2−2i20000000000000000000000
χ384-4444-4-4-40000004-400000000−2i22i2−2i22i20000000000000000000000
χ394-4444-4-4-4000000-4400002i2−2i22i2−2i200000000000000000000000000
χ404-4444-4-4-4000000-440000−2i22i2−2i22i200000000000000000000000000
χ414-4-44-44-4400004000-4000000000000000000000002i2−2i200000000
χ424-4-44-44-4400004000-400000000000000000000000−2i22i200000000
χ434-4-44-44-440000-40004000000000000000000000000022−22000000
χ444-4-44-44-440000-400040000000000000000000000000−2222000000
χ454-4-4-4444-4000004000-40000002i2−2i2−2i22i20000000000000000000000
χ464-4-4-4444-4000004000-4000000−2i22i22i2−2i20000000000000000000000
χ474-4-4-4444-400000-400040022−22−222200000000000000000000000000
χ484-4-4-4444-400000-4000400−222222−2200000000000000000000000000
χ49888-8-88-8-8000000000000000000000000000000000000000000
χ508-88-8-8-888000000000000000000000000000000000000000000

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