Finite Group Databasebeta

← Group #28562

Character table — Group #28562

Order 256.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46
size11111111222222224444444444888888888888888816161616
order1222222244444444228888888824444444444488882244
χ11111111111111111111111111111111111111111111111
χ21111111111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1
χ311111111111111111111111111-1-111111111-1-1-1-1-1-1-1-1-1-1
χ411111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ5111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1-1-11-11-1
χ6111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-1-11-11
χ7111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-11-11
χ8111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111111-11-1
χ91111111111-1-1-1-111-1-11111-1-1-1-11-111-1-111-1-11-111-1-111-1-1
χ101111111111-1-1-1-111-1-11111-1-1-1-11-1-1-111-1-1111-111-1-1-1-111
χ111111111111-1-1-1-111-1-11111-1-1-1-1-1111-1-111-1-1-11-1-111-1-111
χ121111111111-1-1-1-111-1-11111-1-1-1-1-11-1-111-1-111-11-1-11111-1-1
χ131111111111-1-1-1-111-1-1-1-1-1-111111-111-1-1-1-1111-1-1-1111-1-11
χ141111111111-1-1-1-111-1-1-1-1-1-111111-1-1-11111-1-11-1-1-111-111-1
χ151111111111-1-1-1-111-1-1-1-1-1-11111-1111-1-1-1-111-1111-1-1-111-1
χ161111111111-1-1-1-111-1-1-1-1-1-11111-11-1-11111-1-1-1111-1-11-1-11
χ1722222222-2-22222-2-2-2-2000000002-200000000-2200000000
χ1822222222-2-22222-2-2-2-200000000-22000000002-200000000
χ1922222222-2-2-2-2-2-2-2-222000000002200000000-2-200000000
χ2022222222-2-2-2-2-2-2-2-22200000000-2-2000000002200000000
χ2122-2-2-2-2222222-2-2-2-22-2000000000000000000002i−2i2i−2i0000
χ2222-2-2-2-2222222-2-2-2-22-200000000000000000000−2i2i−2i2i0000
χ2322-2-2-2-22222-2-222-2-2-22000000000000000000002i−2i−2i2i0000
χ2422-2-2-2-22222-2-222-2-2-2200000000000000000000−2i2i2i−2i0000
χ2522-2-2-2-222-2-222-2-222-2222-2-222-2-200000000000000000000
χ2622-2-2-2-222-2-222-2-222-22-2-222-2-22200000000000000000000
χ2722-2-2-2-222-2-2-2-222222-222-2-2-2-22200000000000000000000
χ2822-2-2-2-222-2-2-2-222222-2-2-22222-2-200000000000000000000
χ292-222-2-22-22-200002-20000002i−2i2i−2i00002i−2i2-2000000000000
χ302-222-2-22-22-200002-20000002i−2i2i−2i0000−2i2i-22000000000000
χ312-222-2-22-22-200002-2000000−2i2i−2i2i00002i−2i-22000000000000
χ322-222-2-22-22-200002-2000000−2i2i−2i2i0000−2i2i2-2000000000000
χ332-2-2-2222-2-2200002-20000002i−2i−2i2i002-200002i−2i0000000000
χ342-2-2-2222-2-2200002-20000002i−2i−2i2i00-220000−2i2i0000000000
χ352-2-2-2222-2-2200002-2000000−2i2i2i−2i002-20000−2i2i0000000000
χ362-2-2-2222-2-2200002-2000000−2i2i2i−2i00-2200002i−2i0000000000
χ37444-44-4-4-4004i−4i4i−4i00000000000000000000000000000000
χ38444-44-4-4-400−4i4i−4i4i00000000000000000000000000000000
χ3944-44-44-4-4004i−4i−4i4i00000000000000000000000000000000
χ4044-44-44-4-400−4i4i4i−4i00000000000000000000000000000000
χ414-444-4-44-4-440000-44000000000000000000000000000000
χ424-44-4-44-44000000000022−2222−22000000000000000000000000
χ434-44-4-44-440000000000−2222−2222000000000000000000000000
χ444-4-444-4-44000000000022−22−2222000000000000000000000000
χ454-4-444-4-440000000000−222222−22000000000000000000000000
χ464-4-4-4444-44-40000-44000000000000000000000000000000

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