Finite Group DatabasebetaFinite Group Databasebeta| order | 2432 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C27 |
| direct product | D19×#381 |
| Fitting | C19×#381 ⋊ C2 |
| Sylow | C19 ⋊ C2×#381 |
1144 conjugacy classes of subgroups; only the 269 normal subgroups are shown.
This group has 1144 conjugacy classes of subgroups — too many to draw. Only its 269 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
| transitive degree | μt(G) = 608 |
308 conjugacy classes. The character table is too large to display.
| maximal subgroup of | D19×#1284, #18072265, D19×#1306, … |
| maximal normal subgroup of | D19×#1284, #18072265, D19×#1306, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(2432, 6884);