Finite Group Databasebeta

← Group #29233

Character table — Group #29233

Order 256.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40
size11112222224444444488888888888888888816161616
order1244222444444444442244444444888888884488
χ11111111111111111111111111111111111111111
χ21111111111111111111-11-111-1-11111-1-111-1-1-1-1-1-1
χ3111111111111111111-11-11-1-11111-1-111-1-111-1-1-1-1
χ4111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111
χ511111111111111-1-1-1-1111111-1-1-1-1-1-111-1-1-1-11-11-1
χ611111111111111-1-1-1-11-11-11111-1-1-1-1-1-1-1-111-11-11
χ711111111111111-1-1-1-1-11-11-1-1-1-1-1-1111111-1-1-11-11
χ811111111111111-1-1-1-1-1-1-1-1-1-111-1-111-1-111111-11-1
χ91111111111-1-1-1-111111111-1-111-1-111-1-1-1-1-1-1-111-1
χ101111111111-1-1-1-111111-11-1-1-1-1-1-1-11111-1-1111-1-11
χ111111111111-1-1-1-11111-11-111111-1-1-1-1-1-111-1-11-1-11
χ121111111111-1-1-1-11111-1-1-1-111-1-1-1-1-1-1111111-111-1
χ131111111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-11111-1-111
χ141111111111-1-1-1-1-1-1-1-11-11-1-1-11111-1-11111-1-111-1-1
χ151111111111-1-1-1-1-1-1-1-1-11-1111-1-11111-1-1-1-11111-1-1
χ161111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-111
χ1722222-2-22-2-2000022-2-200002i−2i000000002i−2i000000
χ1822222-2-22-2-2000022-2-20000−2i2i00000000−2i2i000000
χ1922222-2-22-2-20000-2-22200002i−2i00000000−2i2i000000
χ2022222-2-22-2-20000-2-2220000−2i2i000000002i−2i000000
χ212222-22-2-22-222-2-200000000002i−2i000000002i−2i0000
χ222222-22-2-22-222-2-20000000000−2i2i00000000−2i2i0000
χ232222-22-2-22-2-2-22200000000002i−2i00000000−2i2i0000
χ242222-22-2-22-2-2-2220000000000−2i2i000000002i−2i0000
χ2522-2-22-2-2-2222i−2i2i−2i0000020-2000000002i−2i00000000
χ2622-2-22-2-2-2222i−2i2i−2i00000-20200000000−2i2i00000000
χ2722-2-22-2-2-222−2i2i−2i2i0000020-200000000−2i2i00000000
χ2822-2-22-2-2-222−2i2i−2i2i00000-202000000002i−2i00000000
χ2922-2-2-22-22-2200002i−2i2i−2i20-200000002i−2i0000000000
χ3022-2-2-22-22-2200002i−2i2i−2i-2020000000−2i2i0000000000
χ3122-2-2-22-22-220000−2i2i−2i2i20-20000000−2i2i0000000000
χ3222-2-2-22-22-220000−2i2i−2i2i-20200000002i−2i0000000000
χ3322-2-2-2-2222-22i−2i−2i2i2i−2i−2i2i000000002-2000000000000
χ3422-2-2-2-2222-22i−2i−2i2i−2i2i2i−2i00000000-22000000000000
χ3522-2-2-2-2222-2−2i2i2i−2i2i−2i−2i2i00000000-22000000000000
χ3622-2-2-2-2222-2−2i2i2i−2i−2i2i2i−2i000000002-2000000000000
χ374444-4-44-4-44000000000000000000000000000000
χ3844-4-4444-4-4-4000000000000000000000000000000
χ398-88i−8i000000000000000000000000000000000000
χ408-8−8i8i000000000000000000000000000000000000

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