Finite Group DatabasebetaFinite Group Databasebeta| order | 14272 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C8 · Schur multiplier (H2) = C22 |
No aliases for this group.
| Sylow | C223 ⋊ #323 |
98 conjugacy classes of subgroups.
| transitive degree | μt(G) = 3568 |
Polycyclic presentation:
2^6,223|a^2=d,d^2=f,b^a=bc,c^a=ce,g^a=g^222,d^b=de2242 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #43252720, #43252721, #43252722, … |
| maximal normal subgroup of | #43252720, #43252721, #43252722, … |
| maximal quotient of | #43252614, #43252619, #43252636, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(14272, 273);