Finite Group DatabasebetaFinite Group Databasebeta| order | 14368 |
| automorphism | ? |
| homology | Abelianization (H1) = C42 · Schur multiplier (H2) = C23 |
| unambiguous semidirect product | (C2×#14267798)⋊C4 |
| Fitting | C2×C4×C449 ⋊ C4 |
| Sylow | C449 ⋊ #95 |
76 conjugacy classes of subgroups.
| transitive degree | μt(G) = 3592 |
Polycyclic presentation:
2^5,449|a^2=d,b^2=e,b^a=bc,f^a=f^67,f^d=f^448916 conjugacy classes — view the full character table.
| maximal subgroup of | #43272858, #43272859, #43272860, … |
| maximal normal subgroup of | #43272858, #43272859, #43272860, … |
| maximal quotient of | #43272872, #43272873, #43272874, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(14368, 197);