Finite Group Databasebeta

← Group #134921

Character table — Group #134921

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50
size11112222224444444444448888888888888888161616163232323232323232
order12222244442244888888882444444488888888248844448888
χ111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1
χ311111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1
χ411111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111
χ511111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-111-1-111-1-1
χ611111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-111-1-111
χ711111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-11111-1-1-1-111
χ811111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-111-1-11111-1-1
χ91111111111-1-1-1-111111111-111-111111111-1-1-1-1-1-1-1-1i−ii−ii−ii−i
χ101111111111-1-1-1-111111111-111-111111111-1-1-1-1-1-1-1-1−ii−ii−ii−ii
χ111111111111-1-1-1-111111111-111-1-1-1-1-1-1-1-1-1-1-1-1-11111i−ii−i−ii−ii
χ121111111111-1-1-1-111111111-111-1-1-1-1-1-1-1-1-1-1-1-1-11111−ii−iii−ii−i
χ131111111111-1-1-1-1-1-1-1-1-1-1-1-1-111-11111-1-1-1-11111-1-111i−i−iii−i−ii
χ141111111111-1-1-1-1-1-1-1-1-1-1-1-1-111-11111-1-1-1-11111-1-111−iii−i−iii−i
χ151111111111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-11111111111-1-1i−i−ii−iii−i
χ161111111111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-11111111111-1-1−iii−ii−i−ii
χ17222222222222-2-22222-2-2-2-2-2-2-220000000022-2-2000000000000
χ18222222222222-2-2-2-2-2-22222-2-2-2200000000-2-222000000000000
χ192222222222-2-2222222-2-2-2-22-2-2-200000000-2-222000000000000
χ202222222222-2-222-2-2-2-222222-2-2-20000000022-2-2000000000000
χ21222222-2-2-2-2222200000000-22-2-222-2-2000000002-20000000000
χ22222222-2-2-2-2222200000000-22-2-2-2-22200000000-220000000000
χ23222222-2-2-2-222-2-2000000002-22-200002i2i−2i−2i0000002i−2i00000000
χ24222222-2-2-2-222-2-2000000002-22-20000−2i−2i2i2i000000−2i2i00000000
χ25222222-2-2-2-2-2-22200000000-2-22200002i2i−2i−2i000000−2i2i00000000
χ26222222-2-2-2-2-2-22200000000-2-2220000−2i−2i2i2i0000002i−2i00000000
χ27222222-2-2-2-2-2-2-2-20000000022-2222-2-200000000-220000000000
χ28222222-2-2-2-2-2-2-2-20000000022-22-2-222000000002-20000000000
χ294444-4-444-4-400004i4i−4i−4i00000000000000000000000000000000
χ304444-4-444-4-40000−4i−4i4i4i00000000000000000000000000000000
χ314444-4-4-4-4440000000044-4-40000000000000000000000000000
χ324444-4-4-4-44400000000-4-4440000000000000000000000000000
χ3344-4-44-40000004i−4i22−2222−220000000000000000002i2−2i2000000000000
χ3444-4-44-40000004i−4i−2222−2222000000000000000000−2i22i2000000000000
χ3544-4-44-4000000−4i4i22−2222−22000000000000000000−2i22i2000000000000
χ3644-4-44-4000000−4i4i−2222−22220000000000000000002i2−2i2000000000000
χ3744-4-4-4400004-4002i2−2i2−2i22i200000000000000002i2−2i200000000000000
χ3844-4-4-4400004-400−2i22i22i2−2i20000000000000000−2i22i200000000000000
χ3944-4-4-440000-44002i2−2i2−2i22i20000000000000000−2i22i200000000000000
χ4044-4-4-440000-4400−2i22i22i2−2i200000000000000002i2−2i200000000000000
χ414-4-4400004-400000000004i−4i00002-22-22i−2i2i−2i0000000000000000
χ424-4-4400004-400000000004i−4i0000-22-22−2i2i−2i2i0000000000000000
χ434-4-4400004-40000000000−4i4i00002-22-2−2i2i−2i2i0000000000000000
χ444-4-4400004-40000000000−4i4i0000-22-222i−2i2i−2i0000000000000000
χ454-4-440000-44000000004-40000002-2-222-2-220000000000000000
χ464-4-440000-44000000004-4000000-222-2-222-20000000000000000
χ474-4-440000-4400000000-440000002-2-22-222-20000000000000000
χ484-4-440000-4400000000-44000000-222-22-2-220000000000000000
χ498-88-8008i−8i000000000000000000000000000000000000000000
χ508-88-800−8i8i000000000000000000000000000000000000000000

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