Finite Group Databasebeta

← Group #179224

Character table — Group #179224

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
χ5111111111111111111-1-1-1-11-11-1-1111-1-1-11111-1-1-1-11111-1-1
χ6111111111111111111-1-1-1-11-11-1-1111-1-1-1-1-1-1-11111-1-1-1-111
χ7111111111111111111-1-1-1-11-1-11-1-1-1-11111111-1-1-1-1-1-1-1-111
χ8111111111111111111-1-1-1-11-1-11-1-1-1-1111-1-1-1-111111111-1-1
χ9111111111-1-111111-1-111-1-1-111-1-11-1-11-1111-1-111-1-111-1-11-1
χ10111111111-1-111111-1-111-1-1-111-1-11-1-11-11-1-111-1-111-1-111-11
χ11111111111-1-111111-1-111-1-1-11-11-1-111-11-111-1-111-1-1-1-111-11
χ12111111111-1-111111-1-111-1-1-11-11-1-111-11-1-1-111-1-11111-1-11-1
χ13111111111-1-111111-1-1-1-111-1-11111-1-1-11-111-1-1-1-11111-1-1-11
χ14111111111-1-111111-1-1-1-111-1-11111-1-1-11-1-1-11111-1-1-1-1111-1
χ15111111111-1-111111-1-1-1-111-1-1-1-11-1111-1111-1-1-1-111-1-1111-1
χ16111111111-1-111111-1-1-1-111-1-1-1-11-1111-11-1-11111-1-111-1-1-11
χ1722222222222-2-2-2-222-222-2-2-2-200200000000000000000000
χ1822222222222-2-2-2-222-2-2-222-2200-200000000000000000000
χ19222222222-2-2-2-2-2-22-2222222-200-200000000000000000000
χ20222222222-2-2-2-2-2-22-22-2-2-2-22200200000000000000000000
χ2122222222-22222-2-2-2-220000-20200-22-200000000000000000
χ2222222222-22222-2-2-2-220000-20-2002-2200000000000000000
χ2322222222-222-2-222-2-2-20000200200002-2-200000000000000
χ2422222222-222-2-222-2-2-20000200-20000-22200000000000000
χ2522222222-2-2-222-2-2-22-2000020200-2-2200000000000000000
χ2622222222-2-2-222-2-2-22-2000020-20022-200000000000000000
χ2722222222-2-2-2-2-222-2220000-20020000-2-2200000000000000
χ2822222222-2-2-2-2-222-2220000-200-2000022-200000000000000
χ29444-44-4-4-44000000-400004-40000000000000000000000000
χ30444-44-4-4-44000000-40000-440000000000000000000000000
χ31444-44-4-4-4-40000004004i−4i000000000000000000000000000
χ32444-44-4-4-4-4000000400−4i4i000000000000000000000000000
χ334-44-4-444-4000004-40000000000000000000000002i2−2i2000000
χ344-44-4-444-4000004-4000000000000000000000000−2i22i2000000
χ354-44-4-444-400000-4400000000000000000000002i2−2i200000000
χ364-44-4-444-400000-440000000000000000000000−2i22i200000000
χ374-4-4444-4-40004-400000000000000000000000000002i2−2i20000
χ384-4-4444-4-40004-40000000000000000000000000000−2i22i20000
χ394-4-4444-4-4000-440000000000000000000000000000002i2−2i200
χ404-4-4444-4-4000-44000000000000000000000000000000−2i22i200
χ414-4-4-44-44404-400000000000000000000002-22-20000000000
χ424-4-4-44-44404-40000000000000000000000-22-220000000000
χ434-4-4-44-4440-4400000000000000000000002-2-220000000000
χ444-4-4-44-4440-440000000000000000000000-222-20000000000
χ4588-88-8-88-8000000000000000000000000000000000000000
χ4688-8-8-88-88000000000000000000000000000000000000000
χ478-888-8-8-88000000000000000000000000000000000000000

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