Finite Group Databasebeta

← Group #255253

Character table — Group #255253

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53
size11111111222244444488888888888161616161616161616161616161616161616161616161616
order12222222222244444422444444444224444444444444488888888
χ111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111-1-1111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111-1-1111-1-11-1-1-1-1111-1-111-1-1-1-1-1-1-1-11111
χ41111111111111111111111-1-1111-1-11-1-1-1-1-1-11-1-1-1-111111111-1-1-1-1
χ511111111111111111111-1-1111-1-111-1-1-11-111-11-1111111-1-1-1-1-1-1-1-1
χ611111111111111111111-1-1111-1-111-1-1-11-1-1-1-11-1-1-1-1-1-1-111111111
χ711111111111111111111-1-1-1-11-1-1-1-1-111-1111-1-1111-1-1-1-11111-1-1-1-1
χ811111111111111111111-1-1-1-11-1-1-1-1-111-11-1-1-1-11-1-11111-1-1-1-11111
χ91111111111111-1-1111-1-11111-111-1-1-1-111111-1-1-1-1-111-1-111-1-111-1-1
χ101111111111111-1-1111-1-11111-111-1-1-1-1111-1-1-1-1-111-1-111-1-111-1-111
χ111111111111111-1-1111-1-111-1-1-11111-11-1-1-111-111-1-1-1-111-1-11111-1-1
χ121111111111111-1-1111-1-111-1-1-11111-11-1-1-1-1-1-1111111-1-111-1-1-1-111
χ131111111111111-1-1111-1-1-1-111-1-1-1-1-111-11-1111-11-1-111-1-1-1-111-1-111
χ141111111111111-1-1111-1-1-1-111-1-1-1-1-111-11-1-1-11-1111-1-11111-1-111-1-1
χ151111111111111-1-1111-1-1-1-1-1-1-1-1-1111-11-111111-1-1-1-1-11111-1-1-1-111
χ161111111111111-1-1111-1-1-1-1-1-1-1-1-1111-11-11-1-111-11111-1-1-1-11111-1-1
χ17222222222222-222-2-2-2-2-2002220022000-20000-2000000000000000
χ18222222222222-222-2-2-2-2-200-2-2200-2-2000200002000000000000000
χ19222222222222-2-2-2-2-2-2220022-200-2-2000-200002000000000000000
χ20222222222222-2-2-2-2-2-22200-2-2-2002200020000-2000000000000000
χ2122222222-2-2-2-2222-2-222-22200-2-2-200-200000020000000000000000
χ2222222222-2-2-2-2222-2-222-2-2-200-222002000000-20000000000000000
χ2322222222-2-2-2-22-2-2-2-22-2222002-2-2002000000-20000000000000000
χ2422222222-2-2-2-22-2-2-2-22-22-2-20022200-200000020000000000000000
χ2522222222-2-2-2-2-22222-2-220000-200000220-20000-200000000000000
χ2622222222-2-2-2-2-22222-2-220000-200000-2-2020000200000000000000
χ2722222222-2-2-2-2-2-2-222-22-200002000002-2020000-200000000000000
χ2822222222-2-2-2-2-2-2-222-22-20000200000-220-20000200000000000000
χ2922-2-2-22-222-22-22002-2-2002-20002-20000000000002i−2i00000000002i−2i
χ3022-2-2-22-222-22-22002-2-2002-20002-2000000000000−2i2i0000000000−2i2i
χ3122-2-2-22-222-22-22002-2-200-22000-220000000000002i−2i0000000000−2i2i
χ3222-2-2-22-222-22-22002-2-200-22000-22000000000000−2i2i00000000002i−2i
χ3322-2-2-22-22-22-22200-22-2002-2000-2200000002i−2i00000000000002i−2i00
χ3422-2-2-22-22-22-22200-22-2002-2000-220000000−2i2i0000000000000−2i2i00
χ3522-2-2-22-22-22-22200-22-200-220002-200000002i−2i0000000000000−2i2i00
χ3622-2-2-22-22-22-22200-22-200-220002-20000000−2i2i00000000000002i−2i00
χ3744-44-4-44-4000004i−4i000000000000000000000000002i−2i2-200000000
χ3844-44-4-44-4000004i−4i00000000000000000000000000−2i2i-2200000000
χ3944-44-4-44-400000−4i4i000000000000000000000000002i−2i-2200000000
χ4044-44-4-44-400000−4i4i00000000000000000000000000−2i2i2-200000000
χ4144-4-4-44-444-44-4-400-44400000000000000000000000000000000000
χ4244-4-4-44-44-44-44-4004-4400000000000000000000000000000000000
χ434-444-44-4-44-4-440000000000000000000000000000000002i2−2i2000000
χ444-444-44-4-44-4-44000000000000000000000000000000000−2i22i2000000
χ454-444-44-4-4-444-4000000000000000000000000000000000002i2−2i20000
χ464-444-44-4-4-444-400000000000000000000000000000000000−2i22i20000
χ474-4-4-4444-444-4-40000000000000004i−4i000000000000000000000000
χ484-4-4-4444-444-4-4000000000000000−4i4i000000000000000000000000
χ494-4-4-4444-4-4-44400000000004-400000000000000000000000000000
χ504-4-4-4444-4-4-4440000000000-4400000000000000000000000000000
χ51888-88-8-8-8000000000000000000000000000000000000000000000
χ528-88-8-8-888000000000000000000000000000000000000000000000
χ538-8-888-8-88000000000000000000000000000000000000000000000

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