Finite Group DatabasebetaFinite Group Databasebeta| order | 13851 |
| automorphism | ? |
| homology | Abelianization (H1) = C34 · Schur multiplier (H2) = C36 |
| direct product | C3×#17987426 |
| Fitting | C33×C9×C19 ⋊ C3 |
| Sylow | C19 ⋊ C3×C9⋊H(3,𝔽3) |
1328 conjugacy classes of subgroups; only the 364 normal subgroups are shown.
This group has 1328 conjugacy classes of subgroups — too many to draw. Only its 364 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
| transitive degree | μt(G) = 4617 |
1611 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(13851, 3314);