Finite Group Databasebeta

← Group #258212

Character table — Group #258212

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53
size11111111222244444488888888888161616161616161616161616161616161616161616161616
order12222222222244444444444444444222444444444444488888888
χ111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111-1-11-1-1-1111111-1-1-1-1-11111-1-1-1-1-1-1-1-1
χ4111111111111111111111111-1-11-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-111111111
χ511111111111111111111-1-1-1-11111111111-1-11-1-1-1-1-1-1-1-11111-1-1-1-1
χ611111111111111111111-1-1-1-1111111-1-1-1-1-1-11-1-1-1-11111-1-1-1-11111
χ711111111111111111111-1-1-1-1-1-11-1-1-11111-1-1-11111-1-1-1-1-1-1-1-11111
χ811111111111111111111-1-1-1-1-1-11-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1
χ91111111111111-1-1111-1-111-1-111-111-111-1-11-1-11-11-111-1-111-1-111-1-1
χ101111111111111-1-1111-1-111-1-111-111-1-1-1111-1-11-11-1-1-111-1-111-1-111
χ111111111111111-1-1111-1-111-1-1-1-1-1-1-1111-1-11-11-11-1111-1-1-1-111-1-111
χ121111111111111-1-1111-1-111-1-1-1-1-1-1-11-1-1111-11-11-11-1-11111-1-111-1-1
χ131111111111111-1-1111-1-1-1-11111-111-111-1-1-11-1-11-11-1-11111-1-1-1-111
χ141111111111111-1-1111-1-1-1-11111-111-1-1-111-11-1-11-1111-1-1-1-11111-1-1
χ151111111111111-1-1111-1-1-1-111-1-1-1-1-1111-1-1-1111-11-1-1-111-1-11111-1-1
χ161111111111111-1-1111-1-1-1-111-1-1-1-1-11-1-111-1111-11-111-1-111-1-1-1-111
χ17222222222222-222-2-2-2-2-222220020000000-2-200000000000000000
χ18222222222222-222-2-2-2-2-2-2-2-2-200200000002200000000000000000
χ19222222222222-2-2-2-2-2-22222-2-200-20000000-2200000000000000000
χ20222222222222-2-2-2-2-2-222-2-22200-200000002-200000000000000000
χ2122222222-2-2-2-2222-2-222-2000000-2000000000022-2-2000000000000
χ2222222222-2-2-2-2222-2-222-2000000-20000000000-2-222000000000000
χ2322222222-2-2-2-22-2-2-2-22-22000000200000000002-2-22000000000000
χ2422222222-2-2-2-22-2-2-2-22-2200000020000000000-222-2000000000000
χ2522222222-2-2-2-2-22222-2-22000022-2-2-2-200000020000000000000000
χ2622222222-2-2-2-2-22222-2-220000-2-2-2222000000-20000000000000000
χ2722222222-2-2-2-2-2-2-222-22-20000222-2-22000000-20000000000000000
χ2822222222-2-2-2-2-2-2-222-22-20000-2-2222-200000020000000000000000
χ2922-2-222-2-222-2-2-2002-220000002i−2i02i−2i0002i−2i00000000000002-20000
χ3022-2-222-2-222-2-2-2002-220000002i−2i02i−2i000−2i2i0000000000000-220000
χ3122-2-222-2-222-2-2-2002-22000000−2i2i0−2i2i0002i−2i0000000000000-220000
χ3222-2-222-2-222-2-2-2002-22000000−2i2i0−2i2i000−2i2i00000000000002-20000
χ3322-2-222-2-2-2-2222002-2-20000002i−2i0−2i2i02-200000000000002i−2i000000
χ3422-2-222-2-2-2-2222002-2-20000002i−2i0−2i2i0-220000000000000−2i2i000000
χ3522-2-222-2-2-2-2222002-2-2000000−2i2i02i−2i02-20000000000000−2i2i000000
χ3622-2-222-2-2-2-2222002-2-2000000−2i2i02i−2i0-2200000000000002i−2i000000
χ3744-44-4-4-44000004-4000000000000000000000000002i−2i2i−2i00000000
χ3844-44-4-4-44000004-400000000000000000000000000−2i2i−2i2i00000000
χ3944-44-4-4-4400000-44000000000000000000000000002i−2i−2i2i00000000
χ4044-44-4-4-4400000-4400000000000000000000000000−2i2i2i−2i00000000
χ4144-4-444-4-444-4-4400-44-400000000000000000000000000000000000
χ4244-4-444-4-4-4-444-400-44400000000000000000000000000000000000
χ434-4444-4-4-44-44-400000000000000000000000000000000000002i2−2i200
χ444-4444-4-4-44-44-40000000000000000000000000000000000000−2i22i200
χ454-4444-4-4-4-44-440000000000000000000000000000000000000002i2−2i2
χ464-4444-4-4-4-44-44000000000000000000000000000000000000000−2i22i2
χ474-4-4-44-4444-4-4400000000004-400000000000000000000000000000
χ484-4-4-44-4444-4-440000000000-4400000000000000000000000000000
χ494-4-4-44-444-444-4000000004-40000000000000000000000000000000
χ504-4-4-44-444-444-400000000-440000000000000000000000000000000
χ51888-8-8-88-8000000000000000000000000000000000000000000000
χ528-88-8-88-88000000000000000000000000000000000000000000000
χ538-8-88-888-8000000000000000000000000000000000000000000000

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