Finite Group Databasebeta

← Group #133860

Character table — Group #133860

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50
size111122222244444444888888888888888888888816163232323232323232
order12222222224444444444444444444444444444442288888888
χ111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1
χ31111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1iiii−i−i−i−i
χ41111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−iiiii
χ511111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1ii−i−iii−i−i
χ611111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1−i−iii−i−iii
χ711111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111
χ811111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-11111-1-1
χ91111111111-1-1-1-11111-1-11111-1-1-1-11111-1-1-1-11111-1-11-11-11-11-1
χ101111111111-1-1-1-11111-1-11111-1-1-1-11111-1-1-1-11111-1-1-11-11-11-11
χ111111111111-1-1-1-11111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111i−ii−i−ii−ii
χ121111111111-1-1-1-11111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111−ii−iii−ii−i
χ131111111111-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111i−i−iii−i−ii
χ141111111111-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111−iii−i−iii−i
χ151111111111-1-1-1-11111-1-1-1-1-1-11111-1-1-1-111111111-1-11-1-11-111-1
χ161111111111-1-1-1-11111-1-1-1-1-1-11111-1-1-1-111111111-1-1-111-11-1-11
χ1722222222222222-2-2-2-2-2-2000000000000000022-2-22-200000000
χ1822222222222222-2-2-2-2-2-20000000000000000-2-222-2200000000
χ192222222222-2-2-2-2-2-2-2-222000000000000000022-2-2-2200000000
χ202222222222-2-2-2-2-2-2-2-2220000000000000000-2-2222-200000000
χ2122222-2-2-2-22000022-2-200000022-2-2000022-2-22-22-20000000000
χ2222222-2-2-2-22000022-2-200000022-2-20000-2-222-22-220000000000
χ2322222-2-2-2-22000022-2-2000000-2-222000022-2-2-22-220000000000
χ2422222-2-2-2-22000022-2-2000000-2-2220000-2-2222-22-20000000000
χ2522222-2-2-2-220000-2-2220022-2-2000022-2-200002-2-220000000000
χ2622222-2-2-2-220000-2-2220022-2-20000-2-2220000-222-20000000000
χ2722222-2-2-2-220000-2-22200-2-222000022-2-20000-222-20000000000
χ2822222-2-2-2-220000-2-22200-2-2220000-2-22200002-2-220000000000
χ294444-444-4-4-4000000004-4000000000000000000000000000000
χ304444-444-4-4-400000000-44000000000000000000000000000000
χ314444-4-4-444-444-4-4000000000000000000000000000000000000
χ324444-4-4-444-4-4-444000000000000000000000000000000000000
χ334-44-40004-40004i−4i000000000000002i−2i2i−2i2-22-200000000000000
χ344-44-40004-40004i−4i00000000000000−2i2i−2i2i-22-2200000000000000
χ354-44-40004-4000−4i4i000000000000002i−2i2i−2i-22-2200000000000000
χ364-44-40004-4000−4i4i00000000000000−2i2i−2i2i2-22-200000000000000
χ374-44-4000-4404i−4i00000000000000002i−2i−2i2i2-2-2200000000000000
χ384-44-4000-4404i−4i0000000000000000−2i2i2i−2i-222-200000000000000
χ394-44-4000-440−4i4i00000000000000002i−2i−2i2i-222-200000000000000
χ404-44-4000-440−4i4i0000000000000000−2i2i2i−2i2-2-2200000000000000
χ414-4-4440000-40000004-400004i−4i00000000000000000000000000
χ424-4-4440000-40000004-40000−4i4i00000000000000000000000000
χ434-4-4440000-4000000-44004i−4i0000000000000000000000000000
χ444-4-4440000-4000000-4400−4i4i0000000000000000000000000000
χ454-4-44-40000400004-400000000004-40000000000000000000000
χ464-4-44-40000400004-40000000000-440000000000000000000000
χ474-4-44-4000040000-44000000004-4000000000000000000000000
χ484-4-44-4000040000-4400000000-44000000000000000000000000
χ4988-8-808-80000000000000000000000000000000000000000000
χ5088-8-80-880000000000000000000000000000000000000000000

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