Finite Group DatabasebetaFinite Group Databasebeta| order | 14272 |
| automorphism | ? |
| homology | Abelianization (H1) = C4×C8 · Schur multiplier (H2) = C4 |
No aliases for this group.
| Sylow | C223 ⋊ #322 |
66 conjugacy classes of subgroups.
| transitive degree | μt(G) = 14272 |
Polycyclic presentation:
2^6,223|a^2=c,b^2=d,c^2=e,d^2=f,b^a=be,g^b=g^2223592 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #43252713, #43252715, #43252768, … |
| maximal normal subgroup of | #43252713, #43252715, #43252768, … |
| maximal quotient of | #43252620, #43252711, #43252713 |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(14272, 270);