Finite Group Databasebeta

← Group #328366

Character table — Group #328366

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47
size1111111144444444444481616161616161616161616161616161616161616161616163232
order12222222444444444444422444444444488888888888844
χ111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111-1111-1-1-1-1-1-1-111111111-1-1-1-1-1-1
χ41111111111111111111111-1111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ5111111111111111111111-11-1-1-111-1-1-11-11111-1-1-1-11111-1-1
χ6111111111111111111111-11-1-1-111-1-1-11-1-1-1-1-11111-1-1-1-111
χ7111111111111111111111-1-1-1-1-1-1-1111-111111-1-1-1-1-1-1-1-111
χ8111111111111111111111-1-1-1-1-1-1-1111-11-1-1-1-111111111-1-1
χ911111111-1-111-1-1-1-11111-1111-1-1-1-111-11-111-1-111-1-111-1-11-1
χ1011111111-1-111-1-1-1-11111-1111-1-1-1-111-11-1-1-111-1-111-1-111-11
χ1111111111-1-111-1-1-1-11111-11-11-1-111-1-11-1111-1-111-1-1-1-111-11
χ1211111111-1-111-1-1-1-11111-11-11-1-111-1-11-11-1-111-1-11111-1-11-1
χ1311111111-1-111-1-1-1-11111-1-11-111-1-1-1-111111-1-1-1-11111-1-1-11
χ1411111111-1-111-1-1-1-11111-1-11-111-1-1-1-1111-1-11111-1-1-1-1111-1
χ1511111111-1-111-1-1-1-11111-1-1-1-1111111-1-1-111-1-1-1-111-1-1111-1
χ1611111111-1-111-1-1-1-11111-1-1-1-1111111-1-1-1-1-11111-1-111-1-1-11
χ1722222222222-222-2-2-22-2-2-220-22-2000000000000000000000
χ1822222222222-222-2-2-22-2-2-2-202-22000000000000000000000
χ192222222222-22-2-2-2-2-2-22-2200000002-220-200000000000000
χ202222222222-22-2-2-2-2-2-22-220000000-22-20200000000000000
χ212222222222-2-2-2-2222-2-22-2020002-2000-2000000000000000
χ222222222222-2-2-2-2222-2-22-20-2000-220002000000000000000
χ2322222222-2-22-2-2-222-22-2-2220-2-22000000000000000000000
χ2422222222-2-22-2-2-222-22-2-22-2022-2000000000000000000000
χ2522222222-2-2-222222-2-22-2-200000002-2-20200000000000000
χ2622222222-2-2-222222-2-22-2-20000000-2220-200000000000000
χ2722222222-2-2-2-222-2-22-2-22202000-22000-2000000000000000
χ2822222222-2-2-2-222-2-22-2-2220-20002-20002000000000000000
χ29444-4-4-4-4400004i−4i000000000000000000000002i−2i2-2000000
χ30444-4-4-4-4400004i−4i00000000000000000000000−2i2i-22000000
χ31444-4-4-4-440000−4i4i000000000000000000000002i−2i-22000000
χ32444-4-4-4-440000−4i4i00000000000000000000000−2i2i2-2000000
χ334-4444-4-4-40000004-400000000000000000000000002i−2i2i−2i00
χ344-4444-4-4-40000004-40000000000000000000000000−2i2i−2i2i00
χ354-4444-4-4-4000000-4400000000000000000000000002i−2i−2i2i00
χ364-4444-4-4-4000000-440000000000000000000000000−2i2i2i−2i00
χ374-44-4-444-44i−4i000000000000000000000002-22i−2i0000000000
χ384-44-4-444-44i−4i00000000000000000000000-22−2i2i0000000000
χ394-44-4-444-4−4i4i000000000000000000000002-2−2i2i0000000000
χ404-44-4-444-4−4i4i00000000000000000000000-222i−2i0000000000
χ414-4-44-44-44004400004-4-4-4000000000000000000000000000
χ424-4-44-44-44004-40000-4-444000000000000000000000000000
χ434-4-44-44-4400-440000-44-44000000000000000000000000000
χ444-4-44-44-4400-4-40000444-4000000000000000000000000000
χ4588-88-8-88-8000000000000000000000000000000000000000
χ4688-8-888-8-8000000000000000000000000000000000000000
χ478-8-8-88-888000000000000000000000000000000000000000

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