Finite Group Databasebeta

← Group #176909

Character table — Group #176909

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50
size111111114444444444888888888816161616161616161616161616161616161616163232
order12222222444444444422244444442444444488888888888844
χ111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111-1-111-1-1-11-1-1-11-1-111111111-1-1-1-1-1-1
χ41111111111111111111111-1-111-1-1-11-1-1-11-1-1-1-1-1-1-1-1-1-1111111
χ51111111111111111111-1-1111-1-111-1-1-11-1-11-11111-1-1-1-11111-1-1
χ61111111111111111111-1-1111-1-111-1-1-11-1-11-1-1-1-1-11111-1-1-1-111
χ71111111111111111111-1-11-1-1-1-1-1-11-11-11-1-111111-1-1-1-1-1-1-1-111
χ81111111111111111111-1-11-1-1-1-1-1-11-11-11-1-11-1-1-1-111111111-1-1
χ91111111111-1-11-1-1111-111-111-1-1-1-11-1-1111-1-111-1-111-1-111-1-11-1
χ101111111111-1-11-1-1111-111-111-1-1-1-11-1-1111-1-1-1-111-1-111-1-111-11
χ111111111111-1-11-1-1111-111-1-1-1-1-111-1-11-1-111111-1-111-1-1-1-111-11
χ121111111111-1-11-1-1111-111-1-1-1-1-111-1-11-1-1111-1-111-1-11111-1-11-1
χ131111111111-1-11-1-1111-1-1-1-11111-1-1-1111-1-1-1111-1-1-1-11111-1-1-11
χ141111111111-1-11-1-1111-1-1-1-11111-1-1-1111-1-1-11-1-11111-1-1-1-1111-1
χ151111111111-1-11-1-1111-1-1-1-1-1-1111111-1-11-11-111-1-1-1-111-1-1111-1
χ161111111111-1-11-1-1111-1-1-1-1-1-1111111-1-11-11-1-1-11111-1-111-1-1-11
χ17222222222-222-2222-2-2-222-20022000-2000-20000000000000000
χ18222222222-222-2222-2-2-2-2-2-200-2-2000200020000000000000000
χ19222222222-2-2-2-2-2-22-2-2222200-2-20002000-20000000000000000
χ20222222222-2-2-2-2-2-22-2-22-2-220022000-200020000000000000000
χ2122222222-2222-2-2-2-22-2200-22200-2-2000-2002000000000000000
χ2222222222-2222-2-2-2-22-2200-2-2-20022000200-2000000000000000
χ2322222222-22-2-2-222-22-2-2002220022000-200-2000000000000000
χ2422222222-22-2-2-222-22-2-2002-2-200-2-20002002000000000000000
χ2522222222-2-2222-2-2-2-22-200200000020-20-200200000000000000
χ2622222222-2-2222-2-2-2-22-2002000000-2020200-200000000000000
χ2722222222-2-2-2-2222-2-22200-20000002020-200-200000000000000
χ2822222222-2-2-2-2222-2-22200-2000000-20-20200200000000000000
χ2944-444-4-4-44000000-40004-400000000000000000000000000000
χ3044-444-4-4-44000000-4000-4400000000000000000000000000000
χ3144-444-4-4-4-40000004000000004i−4i000000000000000000000000
χ3244-444-4-4-4-4000000400000000−4i4i000000000000000000000000
χ3344-4-4-4-444000040000-40000000000000000000000002i2−2i2000000
χ3444-4-4-4-444000040000-4000000000000000000000000−2i22i2000000
χ3544-4-4-4-4440000-400004000000000000000000000022−2200000000
χ3644-4-4-4-4440000-4000040000000000000000000000−222200000000
χ374-444-4-44-4004i−4i000000000000000000000000000000002i−2i2-200
χ384-444-4-44-4004i−4i00000000000000000000000000000000−2i2i-2200
χ394-444-4-44-400−4i4i000000000000000000000000000000002i−2i-2200
χ404-444-4-44-400−4i4i00000000000000000000000000000000−2i2i2-200
χ414-44-44-4-44000004-40000000000000000000002i−2i2i−2i0000000000
χ424-44-44-4-44000004-4000000000000000000000−2i2i−2i2i0000000000
χ434-44-44-4-4400000-440000000000000000000002i−2i−2i2i0000000000
χ444-44-44-4-4400000-44000000000000000000000−2i2i2i−2i0000000000
χ454-4-4-4444-404000000-40000000004i−4i0000000000000000000000
χ464-4-4-4444-404000000-4000000000−4i4i0000000000000000000000
χ474-4-4-4444-40-40000004000004-400000000000000000000000000
χ484-4-4-4444-40-4000000400000-4400000000000000000000000000
χ49888-8-88-8-8000000000000000000000000000000000000000000
χ508-8-88-88-88000000000000000000000000000000000000000000

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