Finite Group Databasebeta

← Group #252477

Character table — Group #252477

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53
size11111111222244444488888888888161616161616161616161616161616161616161616161616
order12222222222244444422444444444444444444444444488888888
χ111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111-1-11-1-111-1-1-1-111-1-111111111-1-1-1-1-1-1-1-1
χ41111111111111111111111-1-11-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-111111111
χ5111111111111111111-1-1-1-1111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111
χ6111111111111111111-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1
χ7111111111111111111-1-1-1-1-1-11-1-111-1-111-1-1111111-1-1-1-11111-1-1-1-1
χ8111111111111111111-1-1-1-1-1-11-1-111-1-111-1-111-1-1-1-11111-1-1-1-11111
χ91111111111111-1-111111-1-111-111-1-1-1-11-11-11-111-1-111-1-111-1-111-1-1
χ101111111111111-1-111111-1-111-111-1-1-1-11-11-11-1-1-111-1-111-1-111-1-111
χ111111111111111-1-111111-1-1-1-1-1-1-1-1-111-111-1-1111-1-111-1-1-1-111-1-111
χ121111111111111-1-111111-1-1-1-1-1-1-1-1-111-111-1-11-1-111-1-11111-1-111-1-1
χ131111111111111-1-1111-1-11111-111-1-1-1-1-11-11-1111-1-1-1-111-1-11111-1-1
χ141111111111111-1-1111-1-11111-111-1-1-1-1-11-11-11-1-11111-1-111-1-1-1-111
χ151111111111111-1-1111-1-111-1-1-1-1-1-1-1111-1-111-111-1-1-1-11111-1-1-1-111
χ161111111111111-1-1111-1-111-1-1-1-1-1-1-1111-1-111-1-1-11111-1-1-1-11111-1-1
χ17222222222222-222-2-2-2222200200-2-20000-2-2000000000000000000
χ18222222222222-222-2-2-2-2-2-2-200200-2-2000022000000000000000000
χ19222222222222-2-2-2-2-2-222-2-200-200220000-22000000000000000000
χ20222222222222-2-2-2-2-2-2-2-22200-2002200002-2000000000000000000
χ2122222222-2-2-2-2222-2-22000022-2-2-22-22-20000000000000000000000
χ2222222222-2-2-2-2222-2-220000-2-2-2222-2-220000000000000000000000
χ2322222222-2-2-2-22-2-2-2-220000222-2-2-22-220000000000000000000000
χ2422222222-2-2-2-22-2-2-2-220000-2-2222-222-20000000000000000000000
χ2522222222-2-2-2-2-22222-2000000-200-22002200-2-20000000000000000
χ2622222222-2-2-2-2-22222-2000000-200-2200-2-200220000000000000000
χ2722222222-2-2-2-2-2-2-222-20000002002-2002-200-220000000000000000
χ2822222222-2-2-2-2-2-2-222-20000002002-200-22002-20000000000000000
χ292-22-2-22-222-22-22002-2-200002i−2i02i−2i0000000000002-200000000002i−2i
χ302-22-2-22-222-22-22002-2-200002i−2i02i−2i000000000000-220000000000−2i2i
χ312-22-2-22-222-22-22002-2-20000−2i2i0−2i2i0000000000002-20000000000−2i2i
χ322-22-2-22-222-22-22002-2-20000−2i2i0−2i2i000000000000-2200000000002i−2i
χ332-22-2-22-22-22-22200-22-200002i−2i0−2i2i00000000002-200000000002i−2i00
χ342-22-2-22-22-22-22200-22-200002i−2i0−2i2i0000000000-220000000000−2i2i00
χ352-22-2-22-22-22-22200-22-20000−2i2i02i−2i00000000002-20000000000−2i2i00
χ362-22-2-22-22-22-22200-22-20000−2i2i02i−2i0000000000-2200000000002i−2i00
χ3744-44-4-4-444-4-440000000000000000000000000000000002i2−2i2000000
χ3844-44-4-4-444-4-44000000000000000000000000000000000−2i22i2000000
χ3944-44-4-4-44-444-4000000000000000000000000000000000002i2−2i20000
χ4044-44-4-4-44-444-400000000000000000000000000000000000−2i22i20000
χ414-44-4-44-444-44-4-400-44400000000000000000000000000000000000
χ424-44-4-44-44-44-44-4004-4400000000000000000000000000000000000
χ434-4-44-444-4000004-4000000000000000000000000002i−2i2i−2i00000000
χ444-4-44-444-4000004-400000000000000000000000000−2i2i−2i2i00000000
χ454-4-44-444-400000-44000000000000000000000000002i−2i−2i2i00000000
χ464-4-44-444-400000-4400000000000000000000000000−2i2i2i−2i00000000
χ474-4-4-44-44444-4-4000000004i−4i0000000000000000000000000000000
χ484-4-4-44-44444-4-400000000−4i4i0000000000000000000000000000000
χ494-4-4-44-444-4-4440000004-4000000000000000000000000000000000
χ504-4-4-44-444-4-444000000-44000000000000000000000000000000000
χ51888-8-8-88-8000000000000000000000000000000000000000000000
χ5288-8-888-8-8000000000000000000000000000000000000000000000
χ538-8888-8-8-8000000000000000000000000000000000000000000000

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