Finite Group Databasebeta

← Group #176847

Character table — Group #176847

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50
size111111114444444444888888888816161616161616161616161616161616161616163232
order12222222444444444444444444442224444488888888888844
χ111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111-1-111-1-111-1-11-1-1-1-111111111-1-1-1-1-1-1
χ4111111111111111111111-1-111-1-111-1-11-1-1-1-1-1-1-1-1-1-1-1-1111111
χ51111111111111111111-1-111-1-1111-11-1-11-1-1-11111-1-1-1-11111-1-1
χ61111111111111111111-1-111-1-1111-11-1-11-1-1-1-1-1-1-11111-1-1-1-111
χ71111111111111111111-1-1-1-1-1-1-1-11-1-11-1-11111111-1-1-1-1-1-1-1-111
χ81111111111111111111-1-1-1-1-1-1-1-11-1-11-1-1111-1-1-1-111111111-1-1
χ91111111111-1-1-1-11111-11111-1-1-1-1-11-11-11-1-1111-1-111-1-111-1-11-1
χ101111111111-1-1-1-11111-11111-1-1-1-1-11-11-11-1-11-1-111-1-111-1-111-11
χ111111111111-1-1-1-11111-111-1-1-1-111-111-1-1-111-111-1-111-1-1-1-111-11
χ121111111111-1-1-1-11111-111-1-1-1-111-111-1-1-111-1-1-111-1-11111-1-11-1
χ131111111111-1-1-1-11111-1-1-11111-1-1-1-1-1-11111-111-1-1-1-11111-1-1-11
χ141111111111-1-1-1-11111-1-1-11111-1-1-1-1-1-11111-1-1-11111-1-1-1-1111-1
χ151111111111-1-1-1-11111-1-1-1-1-11111-1-1111-1-1-1111-1-1-1-111-1-1111-1
χ161111111111-1-1-1-11111-1-1-1-1-11111-1-1111-1-1-11-1-11111-1-111-1-1-11
χ17222222222-222-2-2-2-22-2222002200-2-200-2000000000000000000
χ18222222222-222-2-2-2-22-22-2-200-2-200-22002000000000000000000
χ19222222222-2-2-222-2-22-2-22200-2-2002-2002000000000000000000
χ20222222222-2-2-222-2-22-2-2-2-20022002200-2000000000000000000
χ2122222222-222222-2-2-22-200220022-20-200-200000000000000000
χ2222222222-222222-2-2-22-200-2-200-2-2-20200200000000000000000
χ2322222222-22-2-2-2-2-2-2-222002200-2-220200-200000000000000000
χ2422222222-22-2-2-2-2-2-2-22200-2-2002220-200200000000000000000
χ2522222222-2-222-2-222-2-2-2000000002002002-2-200000000000000
χ2622222222-2-222-2-222-2-2-200000000200-200-22200000000000000
χ2722222222-2-2-2-22222-2-2200000000-200200-22-200000000000000
χ2822222222-2-2-2-22222-2-2200000000-200-2002-2200000000000000
χ2944-4-44-4-4440000000-4004i−4i00000000000000000000000000000
χ3044-4-44-4-4440000000-400−4i4i00000000000000000000000000000
χ3144-4-44-4-44-4000000040000004-40000000000000000000000000
χ3244-4-44-4-44-400000004000000-440000000000000000000000000
χ334-444-4-4-44040000000-400000004i−4i00000000000000000000000
χ344-444-4-4-44040000000-40000000−4i4i00000000000000000000000
χ354-444-4-4-440-4000000040004-4000000000000000000000000000
χ364-444-4-4-440-400000004000-44000000000000000000000000000
χ374-44-444-4-400004-4000000000000000000000000002i−2i2i−2i000000
χ384-44-444-4-400004-400000000000000000000000000−2i2i−2i2i000000
χ394-44-444-4-40000-44000000000000000000000000002i−2i−2i2i000000
χ404-44-444-4-40000-4400000000000000000000000000−2i2i2i−2i000000
χ414-4-444-44-40000004-400000000000000000000000000002i2−2i20000
χ424-4-444-44-40000004-40000000000000000000000000000−2i22i20000
χ434-4-444-44-4000000-440000000000000000000000000000002i2−2i200
χ444-4-444-44-4000000-44000000000000000000000000000000−2i22i200
χ454-4-4-4-4444004-40000000000000000000000002-22-20000000000
χ464-4-4-4-4444004-4000000000000000000000000-22-220000000000
χ474-4-4-4-444400-440000000000000000000000002-2-220000000000
χ484-4-4-4-444400-44000000000000000000000000-222-20000000000
χ49888-8-8-88-8000000000000000000000000000000000000000000
χ5088-88-88-8-8000000000000000000000000000000000000000000

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