Finite Group Databasebeta

← Group #178159

Character table — Group #178159

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50
size1111111144444444448888881616161616161616161616161616161616161616161616161616
order12222222224444444422444424444444444444888888888888
χ111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111-1-1-1-11-1-1-1-111111111-1-1-1-1-1-1-1-1
χ41111111111111111111111111-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-111111111
χ5111111111111111111-1-111-1-1-11-11-1-111-1-11111-1-1-1-11111-1-1-1-1
χ6111111111111111111-1-111-1-1-11-11-1-111-1-1-1-1-1-11111-1-1-1-11111
χ7111111111111111111-1-111-1-1-1-11-11-1-1-1111111-1-1-1-1-1-1-1-11111
χ8111111111111111111-1-111-1-1-1-11-11-1-1-111-1-1-1-111111111-1-1-1-1
χ911111111-1-11-1-11111111-1-1-1-1-111111-1-1-1-111-1-111-1-111-1-111-1-1
χ1011111111-1-11-1-11111111-1-1-1-1-111111-1-1-1-1-1-111-1-111-1-111-1-111
χ1111111111-1-11-1-11111111-1-1-1-1-1-1-1-1-11111111-1-111-1-1-1-111-1-111
χ1211111111-1-11-1-11111111-1-1-1-1-1-1-1-1-111111-1-111-1-11111-1-111-1-1
χ1311111111-1-11-1-111111-1-1-1-11111-11-1-1-1-11111-1-1-1-11111-1-1-1-111
χ1411111111-1-11-1-111111-1-1-1-11111-11-1-1-1-111-1-11111-1-1-1-11111-1-1
χ1511111111-1-11-1-111111-1-1-1-1111-11-11-111-1-111-1-1-1-111-1-11111-1-1
χ1611111111-1-11-1-111111-1-1-1-1111-11-11-111-1-1-1-11111-1-111-1-1-1-111
χ172222222222222-2-22-2-222-2-2-2-220000-200000000000000000000
χ182222222222222-2-22-2-2-2-2-2-222-20000200000000000000000000
χ192222222222-2-2-22-2-22-2002-2000020-20002-20000000000000000
χ202222222222-2-2-22-2-22-2002-20000-202000-220000000000000000
χ212222222222-2-2-2-22-2-2200-2200020-2002-2000000000000000000
χ222222222222-2-2-2-22-2-2200-22000-20200-22000000000000000000
χ2322222222-2-22-2-2-2-22-2-2222222-20000-200000000000000000000
χ2422222222-2-22-2-2-2-22-2-2-2-222-2-220000200000000000000000000
χ2522222222-2-2-2222-2-22-200-22000020-2000-220000000000000000
χ2622222222-2-2-2222-2-22-200-220000-2020002-20000000000000000
χ2722222222-2-2-222-22-2-22002-200020-200-22000000000000000000
χ2822222222-2-2-222-22-2-22002-2000-202002-2000000000000000000
χ2944-4-444-4-44-400000000000000000000000000002i−2i2i−2i00000000
χ3044-4-444-4-44-40000000000000000000000000000−2i2i−2i2i00000000
χ3144-4-444-4-4-4400000000000000000000000000002i−2i−2i2i00000000
χ3244-4-444-4-4-440000000000000000000000000000−2i2i2i−2i00000000
χ334-4444-4-4-40040000-4004-4000000000000000000000000000000
χ344-4444-4-4-40040000-400-44000000000000000000000000000000
χ354-4444-4-4-400-4000040000004i−4i00000000000000000000000000
χ364-4444-4-4-400-400004000000−4i4i00000000000000000000000000
χ374-44-4-444-4000000400-400000000000000000000000000002i2−2i200
χ384-44-4-444-4000000400-40000000000000000000000000000−2i22i200
χ394-44-4-444-4000000-400400000000000000000000000000000022−22
χ404-44-4-444-4000000-4004000000000000000000000000000000−2222
χ414-4-44-44-4400000400-40000000000000000000000000002i2−2i20000
χ424-4-44-44-4400000400-4000000000000000000000000000−2i22i20000
χ434-4-44-44-4400000-4004000000000000000000000000022−22000000
χ444-4-44-44-4400000-40040000000000000000000000000−2222000000
χ454-4-4-44-4440004-40000000000000000000002-22-2000000000000
χ464-4-4-44-4440004-4000000000000000000000-22-22000000000000
χ474-4-4-44-444000-440000000000000000000002-2-22000000000000
χ484-4-4-44-444000-44000000000000000000000-222-2000000000000
χ49888-8-8-8-88000000000000000000000000000000000000000000
χ5088-88-8-88-8000000000000000000000000000000000000000000

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