Finite Group DatabasebetaFinite Group Databasebeta| order | 14272 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C8 · Schur multiplier (H2) = C22 |
No aliases for this group.
| Fitting | C2×C16×C223 ⋊ C2 |
| Sylow | C223 ⋊ #504 |
84 conjugacy classes of subgroups.
| transitive degree | μt(G) = 7136 |
Polycyclic presentation:
2^6,223|a^2=d,d^2=e,e^2=f,c^b=cf,g^c=g^2223592 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #43252934, #43252936 |
| maximal normal subgroup of | #43252934, #43252936 |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(14272, 965);