Finite Group Databasebeta

← Group #258286

Character table — Group #258286

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53
size11111111222244444488888888888161616161616161616161616161616161616161616161616
order12222222222244444444444444444244444444444444488888888
χ111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111-1-111-1-11111-1-11-1-1-1-111111111-1-1-1-1-1-1-1-1
χ411111111111111111111-1-111-1-11111-1-11-1-1-1-1-1-1-1-1-1-1-1-111111111
χ5111111111111111111-1-11111111-1-1-1-1-1-11-11-11111-1-1-1-11111-1-1-1-1
χ6111111111111111111-1-11111111-1-1-1-1-1-11-11-1-1-1-1-11111-1-1-1-11111
χ7111111111111111111-1-1-1-111-1-11-1-1-111-1-11-111111-1-1-1-1-1-1-1-11111
χ8111111111111111111-1-1-1-111-1-11-1-1-111-1-11-11-1-1-1-111111111-1-1-1-1
χ91111111111111-1-11111111-1-111-1-1-1-1-111-11-1-111-1-111-1-111-1-111-1-1
χ101111111111111-1-11111111-1-111-1-1-1-1-111-11-1-1-1-111-1-111-1-111-1-111
χ111111111111111-1-111111-1-1-1-1-1-1-1-1-1-11-111-11111-1-111-1-1-1-111-1-111
χ121111111111111-1-111111-1-1-1-1-1-1-1-1-1-11-111-111-1-111-1-11111-1-111-1-1
χ131111111111111-1-1111-1-111-1-111-11111-1-1-1-1-1111-1-1-1-11111-1-1-1-111
χ141111111111111-1-1111-1-111-1-111-11111-1-1-1-1-11-1-11111-1-1-1-11111-1-1
χ151111111111111-1-1111-1-1-1-1-1-1-1-1-1111-11-1111-111-1-1-1-111-1-11111-1-1
χ161111111111111-1-1111-1-1-1-1-1-1-1-1-1111-11-1111-1-1-11111-1-111-1-1-1-111
χ17222222222222-222-2-2-22200-2-200222-200-200000000000000000000
χ18222222222222-222-2-2-2-2-200-2-2002-2-2200200000000000000000000
χ19222222222222-2-2-2-2-2-222002200-2-2-2200-200000000000000000000
χ20222222222222-2-2-2-2-2-2-2-2002200-222-200200000000000000000000
χ2122222222-2-2-2-2222-2-2200002-200-20002200-20-20000000000000000
χ2222222222-2-2-2-2222-2-2200002-200-2000-2-2002020000000000000000
χ2322222222-2-2-2-22-2-2-2-220000-220020002-20020-20000000000000000
χ2422222222-2-2-2-22-2-2-2-220000-22002000-2200-2020000000000000000
χ2522222222-2-2-2-2-22222-20022-22-2-2-2000000-20200000000000000000
χ2622222222-2-2-2-2-22222-200-2-2-2222-200000020-200000000000000000
χ2722222222-2-2-2-2-2-2-222-200222-2-2-2200000020-200000000000000000
χ2822222222-2-2-2-2-2-2-222-200-2-22-2222000000-20200000000000000000
χ2922-2-22-22-222-2-2-2002-22002i−2i002i−2i00000000000002i−2i0000002-20000
χ3022-2-22-22-222-2-2-2002-22002i−2i002i−2i0000000000000−2i2i000000-220000
χ3122-2-22-22-222-2-2-2002-2200−2i2i00−2i2i00000000000002i−2i000000-220000
χ3222-2-22-22-222-2-2-2002-2200−2i2i00−2i2i0000000000000−2i2i0000002-20000
χ3322-2-22-22-2-2-2222002-2-2002i−2i00−2i2i000000000002-20000002i−2i000000
χ3422-2-22-22-2-2-2222002-2-2002i−2i00−2i2i00000000000-22000000−2i2i000000
χ3522-2-22-22-2-2-2222002-2-200−2i2i002i−2i000000000002-2000000−2i2i000000
χ3622-2-22-22-2-2-2222002-2-200−2i2i002i−2i00000000000-220000002i−2i000000
χ37444-4-4-4-444-44-4000000000000000000000000000000000000022−2200
χ38444-4-4-4-444-44-40000000000000000000000000000000000000−222200
χ39444-4-4-4-44-44-440000000000000000000000000000000000000002i2−2i2
χ40444-4-4-4-44-44-44000000000000000000000000000000000000000−2i22i2
χ4144-44-44-4-44-4-440000000000000004i−4i000000000000000000000000
χ4244-44-44-4-44-4-44000000000000000−4i4i000000000000000000000000
χ4344-44-44-4-4-444-40000004-4000000000000000000000000000000000
χ4444-44-44-4-4-444-4000000-44000000000000000000000000000000000
χ4544-4-44-44-444-4-4400-44-400000000000000000000000000000000000
χ4644-4-44-44-4-4-444-400-44400000000000000000000000000000000000
χ474-44-4-444-4000004i−4i000000000000000000000000002i−2i2-200000000
χ484-44-4-444-4000004i−4i00000000000000000000000000−2i2i-2200000000
χ494-44-4-444-400000−4i4i000000000000000000000000002i−2i-2200000000
χ504-44-4-444-400000−4i4i00000000000000000000000000−2i2i2-200000000
χ518-8888-8-8-8000000000000000000000000000000000000000000000
χ528-8-88-8-888000000000000000000000000000000000000000000000
χ538-8-8-888-88000000000000000000000000000000000000000000000

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