Finite Group Databasebeta

← Group #255330

Character table — Group #255330

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53
size11111111222244444488888888888161616161616161616161616161616161616161616161616
order12222222222244444422444444444244444444444444488888888
χ111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111-1-1111-1-11-1-1-111-11-1-111-1-1-1-1-1-1-1-11111
χ41111111111111111111111-1-1111-1-11-1-1-1-1-1-11-1-1-1-111111111-1-1-1-1
χ5111111111111111111-1-111111-1-111-11-1-111-1-11-1111111-1-1-1-1-1-1-1-1
χ6111111111111111111-1-111111-1-111-11-1-1-1-1-1-11-1-1-1-1-1-1-111111111
χ7111111111111111111-1-111-1-11-1-1-1-1-1-111111-1-1111-1-1-1-11111-1-1-1-1
χ8111111111111111111-1-111-1-11-1-1-1-1-1-111-1-11-1-11-1-11111-1-1-1-11111
χ91111111111111-1-111111-1-111-111-1-1-1-1-11111-11-1-1-111-1-111-1-111-1-1
χ101111111111111-1-111111-1-111-111-1-1-1-1-11-1-11-11-111-1-111-1-111-1-111
χ111111111111111-1-111111-1-1-1-1-11111-111-111-1-1-11-1-1-1-111-1-11111-1-1
χ121111111111111-1-111111-1-1-1-1-11111-111-1-1-1-1-1-111111-1-111-1-1-1-111
χ131111111111111-1-1111-1-1-1-111-1-1-1-1-11-11-111-1111-1-111-1-1-1-111-1-111
χ141111111111111-1-1111-1-1-1-111-1-1-1-1-11-11-1-1-1-111111-1-11111-1-111-1-1
χ151111111111111-1-1111-1-1-1-1-1-1-1-1-11111-111111-1-1-1-1-1-11111-1-1-1-111
χ161111111111111-1-1111-1-1-1-1-1-1-1-1-11111-11-1-111-1-11111-1-1-1-11111-1-1
χ17222222222222-222-2-2-200-2-222200220-2000000-2000000000000000
χ18222222222222-222-2-2-200-2-2-2-2200-2-2020000002000000000000000
χ19222222222222-2-2-2-2-2-2002222-200-2-202000000-2000000000000000
χ20222222222222-2-2-2-2-2-20022-2-2-200220-20000002000000000000000
χ2122222222-2-2-2-2222-2-22222-200-2-2-200-200000020000000000000000
χ2222222222-2-2-2-2222-2-22-2-22-200-222002000000-20000000000000000
χ2322222222-2-2-2-22-2-2-2-2222-22002-2-2002000000-20000000000000000
χ2422222222-2-2-2-22-2-2-2-22-2-2-220022200-200000020000000000000000
χ2522222222-2-2-2-2-22222-200-2200-20000002200-200-200000000000000
χ2622222222-2-2-2-2-22222-200-2200-2000000-2-200200200000000000000
χ2722222222-2-2-2-2-2-2-222-2002-20020000002-200200-200000000000000
χ2822222222-2-2-2-2-2-2-222-2002-2002000000-2200-200200000000000000
χ292-2-22-222-22-22-22002-2-22-2000002-20000000000002i−2i00000000002i−2i
χ302-2-22-222-22-22-22002-2-22-2000002-2000000000000−2i2i0000000000−2i2i
χ312-2-22-222-22-22-22002-2-2-2200000-220000000000002i−2i0000000000−2i2i
χ322-2-22-222-22-22-22002-2-2-2200000-22000000000000−2i2i00000000002i−2i
χ332-2-22-222-2-22-22200-22-22-200000-220000002i−2i000000000000002i−2i00
χ342-2-22-222-2-22-22200-22-22-200000-22000000−2i2i00000000000000−2i2i00
χ352-2-22-222-2-22-22200-22-2-22000002-20000002i−2i00000000000000−2i2i00
χ362-2-22-222-2-22-22200-22-2-22000002-2000000−2i2i000000000000002i−2i00
χ3744-44-4-4-44000004i−4i000000000000000000000000002-22i−2i00000000
χ3844-44-4-4-44000004i−4i00000000000000000000000000-22−2i2i00000000
χ3944-44-4-4-4400000−4i4i000000000000000000000000002-2−2i2i00000000
χ4044-44-4-4-4400000−4i4i00000000000000000000000000-222i−2i00000000
χ4144-4-44-44-44-4-4400000000004i−4i00000000000000000000000000000
χ4244-4-44-44-44-4-440000000000−4i4i00000000000000000000000000000
χ4344-4-44-44-4-444-40000000000000004i−4i000000000000000000000000
χ4444-4-44-44-4-444-4000000000000000−4i4i000000000000000000000000
χ454-44-4-4-44444-4-4000000000000000000000000000000000002i2−2i20000
χ464-44-4-4-44444-4-400000000000000000000000000000000000−2i22i20000
χ474-44-4-4-444-4-44400000000000000000000000000000000022−22000000
χ484-44-4-4-444-4-444000000000000000000000000000000000−2222000000
χ494-4-44-444-44-44-4-400-44400000000000000000000000000000000000
χ504-4-44-444-4-44-44-4004-4400000000000000000000000000000000000
χ51888-8-88-8-8000000000000000000000000000000000000000000000
χ528-8888-8-8-8000000000000000000000000000000000000000000000
χ538-8-8-888-88000000000000000000000000000000000000000000000

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