Finite Group DatabasebetaFinite Group Databasebeta| order | 14272 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C23 |
No aliases for this group.
| Sylow | C223 ⋊ #408 |
158 conjugacy classes of subgroups.
| transitive degree | μt(G) = 7136 |
Polycyclic presentation:
2^6,223|a^2=e,e^2=f,b^a=bd,g^a=g^222,c^b=cf2248 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #43252913, #43252915, #43252921, … |
| maximal normal subgroup of | #43252913, #43252915, #43252921, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(14272, 516);