Finite Group DatabasebetaFinite Group Databasebeta| order | 14368 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C42 · Schur multiplier (H2) = C22×C4 |
| direct product | C2×C4×#14267798 |
| unambiguous semidirect product | D449⋊C42 |
| Fitting | C2×C4×C449 ⋊ C4 |
| derived, Sylow | C449 ⋊ C2×C42 |
108 conjugacy classes of subgroups.
| transitive degree | μt(G) = 3592 |
928 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #43272872, #43272877, #43272879, … |
| maximal normal subgroup of | #43272872, #43272877, #43272879, … |
| maximal quotient of | C42×#14267798, C2×(C2×#14267798)⋊C4, #43272943, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(14368, 222);