Finite Group DatabasebetaFinite Group Databasebeta| order | 13851 |
| automorphism | ? |
| homology | Abelianization (H1) = C33×C9 · Schur multiplier (H2) = C35 |
| direct product | C3×(C19⋊C3)⋊(C27⋊C3) |
| unambiguous semidirect product | (C19⋊C3)⋊(C3×C27⋊C3) |
| Sylow | C19 ⋊ C32×C27⋊C3 |
944 conjugacy classes of subgroups; only the 450 normal subgroups are shown.
This group has 944 conjugacy classes of subgroups — too many to draw. Only its 450 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
| transitive degree | μt(G) = 1539 |
459 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(13851, 4418);