Finite Group Databasebeta

← Group #258214

Character table — Group #258214

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53
size11111111222244444488888888888161616161616161616161616161616161616161616161616
order12222222222244444444444444444244444444444444488888888
χ111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111-1-1111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111-1-1-1-11-1-1-1-111-1-1111-1-1-1-11111-1-1-1-1
χ41111111111111111111111111-1-1-1-11-1-1-1-1-1-1-1-11-1-11111-1-1-1-11111
χ511111111111111111111-1-11-1-11111-111-1-111-1-1-1111111-1-1-1-1-1-1-1-1
χ611111111111111111111-1-11-1-11111-111-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ711111111111111111111-1-11-1-1-1-1-1-1-1-1-1111111-111-1-1-1-1-1-1-1-11111
χ811111111111111111111-1-11-1-1-1-1-1-1-1-1-111-1-111-1-1-111111111-1-1-1-1
χ91111111111111-1-1111-1-111-11111-1-1-11-11-1111-1-1-1-111-1-111-1-111-1-1
χ101111111111111-1-1111-1-111-11111-1-1-11-11-1-1-11-1-111-1-111-1-111-1-111
χ111111111111111-1-1111-1-111-111-1-111-1-11-1111-11-1-1-1-1-11111-1-1-1-111
χ121111111111111-1-1111-1-111-111-1-111-1-11-11-1-1-11-11111-1-1-1-11111-1-1
χ131111111111111-1-1111-1-1-1-1-1-1-111-1-111-1-1111-111-1-111-1-1-1-111-1-111
χ141111111111111-1-1111-1-1-1-1-1-1-111-1-111-1-11-1-1-11111-1-11111-1-111-1-1
χ151111111111111-1-1111-1-1-1-1-1-1-1-1-1111-111-1111-11-1-1-1-111-1-11111-1-1
χ161111111111111-1-1111-1-1-1-1-1-1-1-1-1111-111-1-1-11-111111-1-111-1-1-1-111
χ17222222222222-222-2-2-2-2-20020022220-2-2000000000000000000000
χ18222222222222-222-2-2-2-2-200200-2-2-2-2022000000000000000000000
χ19222222222222-2-2-2-2-2-22200-20022-2-20-22000000000000000000000
χ20222222222222-2-2-2-2-2-22200-200-2-22202-2000000000000000000000
χ2122222222-2-2-2-2222-2-222-200-20000000002200-2-2000000000000000
χ2222222222-2-2-2-2222-2-222-200-2000000000-2-20022000000000000000
χ2322222222-2-2-2-22-2-2-2-22-220020000000002-200-22000000000000000
χ2422222222-2-2-2-22-2-2-2-22-22002000000000-22002-2000000000000000
χ2522222222-2-2-2-2-22222-2-2222-2-2-20000-200000000200000000000000
χ2622222222-2-2-2-2-22222-2-22-2-2-2220000200000000-200000000000000
χ2722222222-2-2-2-2-2-2-222-22-2222-2-20000200000000-200000000000000
χ2822222222-2-2-2-2-2-2-222-22-2-2-22220000-200000000200000000000000
χ2922-22-2-2-2222-2-2-2002-22002i−2i02i−2i0000000002i−2i0000000002-2000000
χ3022-22-2-2-2222-2-2-2002-22002i−2i02i−2i000000000−2i2i000000000-22000000
χ3122-22-2-2-2222-2-2-2002-2200−2i2i0−2i2i0000000002i−2i000000000-22000000
χ3222-22-2-2-2222-2-2-2002-2200−2i2i0−2i2i000000000−2i2i0000000002-2000000
χ3322-22-2-2-22-2-2222002-2-2002i−2i0−2i2i000000000000002-20000002i−2i0000
χ3422-22-2-2-22-2-2222002-2-2002i−2i0−2i2i00000000000000-22000000−2i2i0000
χ3522-22-2-2-22-2-2222002-2-200−2i2i02i−2i000000000000002-2000000−2i2i0000
χ3622-22-2-2-22-2-2222002-2-200−2i2i02i−2i00000000000000-220000002i−2i0000
χ37444-4-4-44-4000004-4000000000000000000000000002-22-200000000
χ38444-4-4-44-4000004-400000000000000000000000000-22-2200000000
χ39444-4-4-44-400000-44000000000000000000000000002-2-2200000000
χ40444-4-4-44-400000-4400000000000000000000000000-222-200000000
χ4144-44-4-4-4444-4-4400-44-400000000000000000000000000000000000
χ4244-44-4-4-44-4-444-400-44400000000000000000000000000000000000
χ434-44-44-4-444-44-400000000000000000000000000000000000002i2−2i200
χ444-44-44-4-444-44-40000000000000000000000000000000000000−2i22i200
χ454-44-44-4-44-44-440000000000000000000000000000000000000002i2−2i2
χ464-44-44-4-44-44-44000000000000000000000000000000000000000−2i22i2
χ474-4-4-4-44444-4-4400000000000004-400000000000000000000000000
χ484-4-4-4-44444-4-440000000000000-4400000000000000000000000000
χ494-4-4-4-4444-444-40000000000000004-4000000000000000000000000
χ504-4-4-4-4444-444-4000000000000000-44000000000000000000000000
χ5188-8-888-8-8000000000000000000000000000000000000000000000
χ528-888-88-8-8000000000000000000000000000000000000000000000
χ538-8-888-88-8000000000000000000000000000000000000000000000

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