Finite Group DatabasebetaFinite Group Databasebeta| order | 14368 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C22 |
| unambiguous semidirect product | D449⋊M16 |
| Sylow | C449 ⋊ C2×M16 |
68 conjugacy classes of subgroups.
| transitive degree | μt(G) = 3592 |
Polycyclic presentation:
2^5,449|a^2=d,d^2=e,b^a=be,f^a=f^67,f^c=f^448,f^d=f^448916 conjugacy classes — view the full character table.
| maximal subgroup of | #43272874, #43272876, #43272878, … |
| maximal normal subgroup of | #43272874, #43272876, #43272878, … |
| maximal quotient of | #43272966, C4×#20297745, C4×#20297746, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(14368, 231);