Finite Group Databasebeta

← Group #176382

Character table — Group #176382

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50
size111111114444444444888888888816161616161616161616161616161616161616163232
order12222222444444444422224444442444444488888888888844
χ111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111-1-11111-1-1-11-1-11-1-1-11111-1-1-1-1-1-1-1-111
χ411111111111111111111-1-11111-1-1-11-1-11-1-1-1-1-1-1-111111111-1-1
χ5111111111111111111-1-11111-1-111-1-11-1-11-1-111111111-1-1-1-1-1-1
χ6111111111111111111-1-11111-1-111-1-11-1-11-1-1-1-1-1-1-1-1-1-1111111
χ7111111111111111111-1-1-1-111-1-1-1-11-1-11-1-1111111-1-1-1-11111-1-1
χ8111111111111111111-1-1-1-111-1-1-1-11-1-11-1-111-1-1-1-11111-1-1-1-111
χ9111111111-1-11-1-111111111-1-1-1-1-1-111-11-11-1-111-1-111-1-111-1-11-1
χ10111111111-1-11-1-111111111-1-1-1-1-1-111-11-11-1-1-1-111-1-111-1-111-11
χ11111111111-1-11-1-1111111-1-1-1-1-1-111-111-1-1-11111-1-1-1-111-1-1111-1
χ12111111111-1-11-1-1111111-1-1-1-1-1-111-111-1-1-111-1-11111-1-111-1-1-11
χ13111111111-1-11-1-11111-1-111-1-111-1-1-1-1-1-1111111-1-111-1-1-1-111-11
χ14111111111-1-11-1-11111-1-111-1-111-1-1-1-1-1-11111-1-111-1-11111-1-11-1
χ15111111111-1-11-1-11111-1-1-1-1-1-111111-1111-1-1-111-1-1-1-11111-1-1-11
χ16111111111-1-11-1-11111-1-1-1-1-1-111111-1111-1-1-1-1-11111-1-1-1-1111-1
χ1722222222222-2-2-2-2-22-20022-2200-2-200200-20000000000000000
χ1822222222222-2-2-2-2-22-200-2-2-22002200-20020000000000000000
χ19222222222-2-2-222-2-22-200222-2002200-200-20000000000000000
χ20222222222-2-2-222-2-22-200-2-22-200-2-20020020000000000000000
χ2122222222-2222-2-2-2-2-2200002-20000200-2002-200000000000000
χ2222222222-2222-2-2-2-2-2200002-20000-200200-2200000000000000
χ2322222222-222-22222-2-22200-2-222000-200-200000000000000000
χ2422222222-222-22222-2-2-2-200-2-2-2-2000200200000000000000000
χ2522222222-2-2-2222-2-2-220000-220000200-200-2200000000000000
χ2622222222-2-2-2222-2-2-220000-220000-2002002-200000000000000
χ2722222222-2-2-2-2-2-222-2-2220022-2-2000-200200000000000000000
χ2822222222-2-2-2-2-2-222-2-2-2-2002222000200-200000000000000000
χ2944-444-4-4-440000000-40004-40000000000000000000000000000
χ3044-444-4-4-440000000-4000-440000000000000000000000000000
χ3144-444-4-4-4-4000000040000000004i−4i0000000000000000000000
χ3244-444-4-4-4-400000004000000000−4i4i0000000000000000000000
χ334-444-4-4-4404i−4i00000000000000000000000002i−2i2-20000000000
χ344-444-4-4-4404i−4i0000000000000000000000000−2i2i-220000000000
χ354-444-4-4-440−4i4i00000000000000000000000002i−2i-220000000000
χ364-444-4-4-440−4i4i0000000000000000000000000−2i2i2-20000000000
χ374-44-444-4-400004i−4i000000000000000000000000002-22i−2i000000
χ384-44-444-4-400004i−4i00000000000000000000000000-22−2i2i000000
χ394-44-444-4-40000−4i4i000000000000000000000000002-2−2i2i000000
χ404-44-444-4-40000−4i4i00000000000000000000000000-222i−2i000000
χ414-4-44-444-4000400000-400000000000000000000000000002i2−2i200
χ424-4-44-444-4000400000-40000000000000000000000000000−2i22i200
χ434-4-44-444-4000-40000040000000000000000000000000022−220000
χ444-4-44-444-4000-400000400000000000000000000000000−22220000
χ454-4-4-44-4440000004-4000000004-4000000000000000000000000
χ464-4-4-44-4440000004-400000000-44000000000000000000000000
χ474-4-4-44-444000000-44004-4000000000000000000000000000000
χ484-4-4-44-444000000-4400-44000000000000000000000000000000
χ49888-8-8-88-8000000000000000000000000000000000000000000
χ5088-8-8-88-88000000000000000000000000000000000000000000

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