Finite Group DatabasebetaFinite Group Databasebeta| order | 13851 |
| automorphism | ? |
| homology | Abelianization (H1) = C9×C27 · Schur multiplier (H2) = C33 |
No aliases for this group.
| Sylow | C19 ⋊ #10624463 |
230 conjugacy classes of subgroups; only the 130 normal subgroups are shown.
This group has 230 conjugacy classes of subgroups — too many to draw. Only its 130 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
| transitive degree | μt(G) = 13851 |
Polycyclic presentation:
3^6,19|a^3=d,b^3=e,d^3=f,b^a=bc,g^b=g^71755 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(13851, 560);