Finite Group DatabasebetaFinite Group Databasebeta| order | 31347 |
| automorphism | ? |
| homology | Abelianization (H1) = C3×C92 · Schur multiplier (H2) = C35 |
| direct product | C3×C43⋊#6855 |
| unambiguous semidirect product | (C3×C43)⋊#6855 |
| Sylow | C43 ⋊ C3×#6855 |
1052 conjugacy classes of subgroups; only the 544 normal subgroups are shown.
This group has 1052 conjugacy classes of subgroups — too many to draw. Only its 544 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
| transitive degree | μt(G) = 31347 |
3699 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(31347, 856);