Finite Group DatabasebetaFinite Group Databasebeta| order | 11936 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C23 |
| direct product | D4×#13093637 |
| Fitting | D4×C373 ⋊ C4 |
| Sylow | C373 ⋊ C4×D4 |
94 conjugacy classes of subgroups.
485 conjugacy classes — view the full character table.
| maximal subgroup of | D8×#13093637, SD16×#13093637, #37560461, … |
| maximal normal subgroup of | D8×#13093637, SD16×#13093637, #37560461, … |
| maximal quotient of | C22⋊C4×#13093637, C4⋊C4×#13093637, #37560369, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11936, 226);