Finite Group Databasebeta

← Group #176706

Character table — Group #176706

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50
size111111114444444444888888888816161616161616161616161616161616161616163232
order12222222444444444444444444442444444488888888888844
χ111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111-1-1111-1-1-111-1-1-1-1-111111111-1-1-1-1-1-1
χ4111111111111111111111-1-1111-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ51111111111111111111-1-1111-1-111-1-1-111-1-1-11111-1-1-1-1-1-1-1-111
χ61111111111111111111-1-1111-1-111-1-1-111-1-1-1-1-1-1-111111111-1-1
χ71111111111111111111-1-1-1-11-1-1-1-11-1-1-1-11111111-1-1-1-11111-1-1
χ81111111111111111111-1-1-1-11-1-1-1-11-1-1-1-1111-1-1-1-11111-1-1-1-111
χ91111111111-1-1-1-11111-11111-1-1-1-1-111-11-11-1-111-1-111-1-111-1-11-1
χ101111111111-1-1-1-11111-11111-1-1-1-1-111-11-11-1-1-1-111-1-111-1-111-11
χ111111111111-1-1-1-11111-111-1-1-1-1-111-11-1-11-11111-1-111-1-1-1-111-11
χ121111111111-1-1-1-11111-111-1-1-1-1-111-11-1-11-111-1-111-1-11111-1-11-1
χ131111111111-1-1-1-11111-1-1-111-111-1-1-1-111-1-11111-1-1-1-111-1-1111-1
χ141111111111-1-1-1-11111-1-1-111-111-1-1-1-111-1-111-1-11111-1-111-1-1-11
χ151111111111-1-1-1-11111-1-1-1-1-1-111111-11-111-1-111-1-1-1-11111-1-1-11
χ161111111111-1-1-1-11111-1-1-1-1-1-111111-11-111-1-1-1-11111-1-1-1-1111-1
χ17222222222-222-2-2-2-22-2-200002000020000-2-2200000000000000
χ18222222222-222-2-2-2-22-2-2000020000-2000022-200000000000000
χ19222222222-2-2-222-2-22-220000-2000020000-22-200000000000000
χ20222222222-2-2-222-2-22-220000-20000-200002-2200000000000000
χ2122222222-2222-2-2-2-2-2222200-2-2-2000-220000000000000000000
χ2222222222-2222-2-2-2-2-222-2-200-2220002-20000000000000000000
χ2322222222-22-2-222-2-2-22-22200222000-2-20000000000000000000
χ2422222222-22-2-222-2-2-22-2-2-2002-2-2000220000000000000000000
χ2522222222-2-2222222-2-2-20022-20022000-2-200000000000000000
χ2622222222-2-2222222-2-2-200-2-2-200-2-20002200000000000000000
χ2722222222-2-2-2-2-2-222-2-220022200-2-2000-2200000000000000000
χ2822222222-2-2-2-2-2-222-2-2200-2-2200220002-200000000000000000
χ29444-4-4-44-440000000-400000000000000000000000000022−220000
χ30444-4-4-44-440000000-4000000000000000000000000000−22220000
χ31444-4-4-44-4-400000004000000000000000000000000000002i2−2i200
χ32444-4-4-44-4-40000000400000000000000000000000000000−2i22i200
χ3344-444-4-4-4040000000-404-400000000000000000000000000000
χ3444-444-4-4-4040000000-40-4400000000000000000000000000000
χ3544-444-4-4-40-4000000040000004i−4i000000000000000000000000
χ3644-444-4-4-40-400000004000000−4i4i000000000000000000000000
χ3744-4-4-44-44004i−4i0000000000000000000000002-22i−2i0000000000
χ3844-4-4-44-44004i−4i000000000000000000000000-22−2i2i0000000000
χ3944-4-4-44-4400−4i4i0000000000000000000000002-2−2i2i0000000000
χ4044-4-4-44-4400−4i4i000000000000000000000000-222i−2i0000000000
χ414-444-4-4-4400004i−4i000000000000000000000000002i−2i2-2000000
χ424-444-4-4-4400004i−4i00000000000000000000000000−2i2i-22000000
χ434-444-4-4-440000−4i4i000000000000000000000000002i−2i-22000000
χ444-444-4-4-440000−4i4i00000000000000000000000000−2i2i2-2000000
χ454-4-44-444-40000004-400000000004i−4i0000000000000000000000
χ464-4-44-444-40000004-40000000000−4i4i0000000000000000000000
χ474-4-44-444-4000000-44000004i−4i000000000000000000000000000
χ484-4-44-444-4000000-4400000−4i4i000000000000000000000000000
χ498-88-888-8-8000000000000000000000000000000000000000000
χ508-8-8-88-888000000000000000000000000000000000000000000

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