Finite Group Databasebeta

← Group #501335

Character table — Group #501335

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47
size1122222224444444488888888881616161616161616161616161616161632323232
order1222244442244888844448888882244444416161616161616164488
χ111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1
χ4111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ511111111111111111-1-1-1-111-1-1-1-11111-1-1-1-11111-1-1-1-111-1-1
χ611111111111111111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-111
χ711111111111111111-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111
χ811111111111111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1
χ9111111111-1-1-1-1111111-1-1-1-111-1-11-11-111-1-111-1-111-1-11-11-1
χ10111111111-1-1-1-1111111-1-1-1-111-1-11-11-111-1-1-1-111-1-111-11-11
χ11111111111-1-1-1-1111111-1-1-1-111-1-1-11-11-1-11111-1-111-1-1-11-11
χ12111111111-1-1-1-1111111-1-1-1-111-1-1-11-11-1-111-1-111-1-1111-11-1
χ13111111111-1-1-1-11111-1-111-1-1-1-1111-11-1-1-11111-1-1-1-1111-1-11
χ14111111111-1-1-1-11111-1-111-1-1-1-1111-11-1-1-111-1-11111-1-1-111-1
χ15111111111-1-1-1-11111-1-111-1-1-1-111-11-1111-1-111-1-1-1-111-111-1
χ16111111111-1-1-1-11111-1-111-1-1-1-111-11-1111-1-1-1-11111-1-11-1-11
χ172222222222222-2-2-2-22222-2-2-2-2-2-200000000000000000000
χ182222222222222-2-2-2-2-2-2-2-2-2-2222200000000000000000000
χ19222222222-2-2-2-2-2-2-2-222-2-222-2-22200000000000000000000
χ20222222222-2-2-2-2-2-2-2-2-2-2222222-2-200000000000000000000
χ21222-2-222-2-200002-22-2002i−2i00002i−2i020-22i−2i00000000000000
χ22222-2-222-2-200002-22-2002i−2i00002i−2i0-202−2i2i00000000000000
χ23222-2-222-2-200002-22-200−2i2i0000−2i2i020-2−2i2i00000000000000
χ24222-2-222-2-200002-22-200−2i2i0000−2i2i0-2022i−2i00000000000000
χ25222-2-222-2-20000-22-22002i−2i0000−2i2i20-20002i−2i000000000000
χ26222-2-222-2-20000-22-22002i−2i0000−2i2i-202000−2i2i000000000000
χ27222-2-222-2-20000-22-2200−2i2i00002i−2i20-2000−2i2i000000000000
χ28222-2-222-2-20000-22-2200−2i2i00002i−2i-2020002i−2i000000000000
χ2922-22-22-22-22-22-222-2-200002-200000000000000002i−2i2i−2i0000
χ3022-22-22-22-22-22-222-2-200002-20000000000000000−2i2i−2i2i0000
χ3122-22-22-22-22-22-2-2-2220000-220000000000002-22-200000000
χ3222-22-22-22-22-22-2-2-2220000-22000000000000-22-2200000000
χ3322-22-22-22-2-22-2222-2-20000-2200000000000000002i−2i−2i2i0000
χ3422-22-22-22-2-22-2222-2-20000-220000000000000000−2i2i2i−2i0000
χ3522-22-22-22-2-22-22-2-22200002-20000000000002-2-2200000000
χ3622-22-22-22-2-22-22-2-22200002-2000000000000-222-200000000
χ3744444-4-4-4-444-4-40000000000000000000000000000000000
χ3844444-4-4-4-4-4-4440000000000000000000000000000000000
χ39444-4-4-4-444000000004i−4i0000000000000000000000000000
χ40444-4-4-4-44400000000−4i4i0000000000000000000000000000
χ4144-44-4-44-444-4-440000000000000000000000000000000000
χ4244-44-4-44-44-444-40000000000000000000000000000000000
χ4344-4-444-4-4400004-4-44000000000000000000000000000000
χ4444-4-444-4-440000-444-4000000000000000000000000000000
χ4544-4-44-444-4000000000000004-40000000000000000000000
χ4644-4-44-444-400000000000000-440000000000000000000000
χ4716-16000000000000000000000000000000000000000000000

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