Finite Group Databasebeta

← Group #27694

Character table — Group #27694

Order 256.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40
size11112222224444444488888888888888888816161616
order1244222444224488882444888888888888884444
χ11111111111111111111111111111111111111111
χ2111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1
χ3111111111111111111-1-1-1-1-1-11111111111-1-1-1-1-1-1
χ4111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111
χ511111111111111-1-1-1-11111-1-11111-1-1-1-1-1-1-1-111-1-1
χ611111111111111-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1-111
χ711111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-111-1-111
χ811111111111111-1-1-1-1-1-1-1-111-1-1-1-11111-1-11111-1-1
χ91111111111-1-1-1-1111111-1-1-1-111-1-111-1-1-1-1111-11-1
χ101111111111-1-1-1-1111111-1-1-1-1-1-111-1-111-1-111-11-11
χ111111111111-1-1-1-11111-1-1111111-1-111-1-1-1-1-1-1-11-11
χ121111111111-1-1-1-11111-1-11111-1-111-1-111-1-1-1-11-11-1
χ131111111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-11111-1-11-1-11
χ141111111111-1-1-1-1-1-1-1-111-1-111-1-11111-1-111-1-1-111-1
χ151111111111-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1111111-111-1
χ161111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-111111-1-11
χ1722222-2-2-2-222-22-222-2-2000000000000002-2000000
χ1822222-2-2-2-222-22-2-2-22200000000000000-22000000
χ1922222-2-2-2-22-22-2222-2-200000000000000-22000000
χ2022222-2-2-2-22-22-22-2-222000000000000002-2000000
χ2122-2-2222-2-2-22-2-22000000002i−2i00000000002i−2i0000
χ2222-2-2222-2-2-22-2-2200000000−2i2i0000000000−2i2i0000
χ2322-2-2222-2-2-2-222-2000000002i−2i0000000000−2i2i0000
χ2422-2-2222-2-2-2-222-200000000−2i2i00000000002i−2i0000
χ2522-2-22-2-222-222-2-200002-22-2000000000000000000
χ2622-2-22-2-222-222-2-20000-22-22000000000000000000
χ2722-2-22-2-222-2-2-22200002-2-22000000000000000000
χ2822-2-22-2-222-2-2-2220000-222-2000000000000000000
χ2922-2-2-22-22-2200002-22-2000000002i−2i002i−2i00000000
χ3022-2-2-22-22-2200002-22-200000000−2i2i00−2i2i00000000
χ3122-2-2-22-22-220000-22-22000000002i−2i00−2i2i00000000
χ3222-2-2-22-22-220000-22-2200000000−2i2i002i−2i00000000
χ3322-2-2-2-22-22200002-2-220000002i−2i002i−2i0000000000
χ3422-2-2-2-22-22200002-2-22000000−2i2i00−2i2i0000000000
χ3522-2-2-2-22-2220000-222-20000002i−2i00−2i2i0000000000
χ3622-2-2-2-22-2220000-222-2000000−2i2i002i−2i0000000000
χ374444-44-4-44-4000000000000000000000000000000
χ384444-4-444-4-4000000000000000000000000000000
χ398-88i−8i000000000000000000000000000000000000
χ408-8−8i8i000000000000000000000000000000000000

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