Finite Group Databasebeta

← Group #12100

Character table — Group #12100

Order 256.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28
size11112244888888888816161616161616161616
order1222224444444444442224888888
χ11111111111111111111111111111
χ211111111111111111111-1-1-1-1-1-1-1-1
χ3111111111111-1-1-1-111-1-11111-1-1-1-1
χ4111111111111-1-1-1-111-1-1-1-1-1-11111
χ511111111-1-1-1-111-1-1111-111-1-111-1-1
χ611111111-1-1-1-111-1-1111-1-1-111-1-111
χ711111111-1-1-1-1-1-11111-1111-1-1-1-111
χ811111111-1-1-1-1-1-11111-11-1-11111-1-1
χ92222222222-2-20000-2-20000000000
χ1022222222-2-2220000-2-20000000000
χ11222222-2-2000000222-20-200000000
χ12222222-2-2000000-2-22-20200000000
χ13222222-2-200002200-22-2000000000
χ14222222-2-20000-2-200-222000000000
χ152-2-22-22-222-2000000000000002−22−2
χ162-2-22-22-222-200000000000000−22−22
χ172-2-22-22-22-22000000000000002−2−22
χ182-2-22-22-22-2200000000000000−222−2
χ194444-4-4000000000000002-2000000
χ204444-4-400000000000000-22000000
χ2144-4-40000002-22i−2i2i−2i000000000000
χ2244-4-40000002-2−2i2i−2i2i000000000000
χ2344-4-4000000-222i−2i−2i2i000000000000
χ2444-4-4000000-22−2i2i2i−2i000000000000
χ254-4-444-400000000000000002-20000
χ264-4-444-40000000000000000-220000
χ274-4-44-444-400000000000000000000
χ288-88-8000000000000000000000000

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