Finite Group Databasebeta

← Group #179177

Character table — Group #179177

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47
size11111111444444448888888161616161616161616161616161616161616161616163232
order12222222444444444444444222444444488888888888844
χ111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111-1-11-1-1-1-1-1-111111111-1-1-1-1-1-1
χ4111111111111111111111111-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ511111111111111111-1-111-1-1-11-1-111-1-1-111111-1-1-1-11111-1-1
χ611111111111111111-1-111-1-1-11-1-111-1-1-11-1-1-1-11111-1-1-1-111
χ711111111111111111-1-111-1-1-1-11-1-1-1111-11111-1-1-1-1-1-1-1-111
χ811111111111111111-1-111-1-1-1-11-1-1-1111-1-1-1-1-111111111-1-1
χ911111111111-1-1111-111-1-1-1-1-11111-11-1-1-111-1-111-1-111-1-11-1
χ1011111111111-1-1111-111-1-1-1-1-11111-11-1-1-1-1-111-1-111-1-111-11
χ1111111111111-1-1111-111-1-1-1-1-1-1-11-11-111111-1-111-1-1-1-111-11
χ1211111111111-1-1111-111-1-1-1-1-1-1-11-11-1111-1-111-1-11111-1-11-1
χ1311111111111-1-1111-1-1-1-1-11111-1-11-1-111-111-1-1-1-11111-1-1-11
χ1411111111111-1-1111-1-1-1-1-11111-1-11-1-111-1-1-11111-1-1-1-1111-1
χ1511111111111-1-1111-1-1-1-1-1111-11-1-111-1-1111-1-1-1-111-1-1111-1
χ1611111111111-1-1111-1-1-1-1-1111-11-1-111-1-11-1-11111-1-111-1-1-11
χ17222222222-2-2222-2-2222-2-2-2-2200-200000000000000000000
χ18222222222-2-2222-2-22-2-2-2-222-200200000000000000000000
χ19222222222-2-2-2-22-2-2-2222222-200-200000000000000000000
χ20222222222-2-2-2-22-2-2-2-2-222-2-2200200000000000000000000
χ2122222222-22-222-22-2-200-22000200-22000-200000000000000
χ2222222222-22-222-22-2-200-22000-2002-2000200000000000000
χ2322222222-22-2-2-2-22-22002-2000200-2-2000200000000000000
χ2422222222-22-2-2-2-22-22002-2000-20022000-200000000000000
χ2522222222-2-2222-2-22-2002-200002000-22-2000000000000000
χ2622222222-2-2222-2-22-2002-20000-20002-22000000000000000
χ2722222222-2-22-2-2-2-22200-2200002000-2-22000000000000000
χ2822222222-2-22-2-2-2-22200-220000-200022-2000000000000000
χ29444-44-4-4-440000-40004-40000000000000000000000000000
χ30444-44-4-4-440000-4000-440000000000000000000000000000
χ31444-44-4-4-4-40000400000004i−4i000000000000000000000000
χ32444-44-4-4-4-4000040000000−4i4i000000000000000000000000
χ334-444-4-44-40004i−4i0000000000000000000000002-22i−2i000000
χ344-444-4-44-40004i−4i000000000000000000000000-22−2i2i000000
χ354-444-4-44-4000−4i4i0000000000000000000000002-2−2i2i000000
χ364-444-4-44-4000−4i4i000000000000000000000000-222i−2i000000
χ374-44-4-44-440040000-40000000000000000000000000002i2−2i200
χ384-44-4-44-440040000-4000000000000000000000000000−2i22i200
χ394-44-4-44-4400-400004000000000000000000000000022−220000
χ404-44-4-44-4400-4000040000000000000000000000000−22220000
χ414-4-444-4-44040000-40000000000000000002i2−2i2000000000000
χ424-4-444-4-44040000-4000000000000000000−2i22i2000000000000
χ434-4-444-4-440-4000040000000000000000000022−220000000000
χ444-4-444-4-440-40000400000000000000000000−22220000000000
χ4588-88-88-8-8000000000000000000000000000000000000000
χ4688-8-8-8-888000000000000000000000000000000000000000
χ478-8-8-8888-8000000000000000000000000000000000000000

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