Finite Group DatabasebetaFinite Group DatabasebetaOrder 2432.
206 conjugacy classes of subgroups; only the 47 normal subgroups are shown.
This group has 206 conjugacy classes of subgroups — too many to draw. Only its 47 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 2. C2×#10597286 | C2 | semidirect |
| 3. #11926816 | C2 | semidirect |
| 4. #11926361 | C2 | semidirect |
| 5. #11926351 | C2 | semidirect |
| 6. #11926329 | C2 | semidirect |
| 7. C19×#510 | C2 | semidirect |
| 86. #510 | D19 | semidirect |
| 113. C19 | #2195 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11927358 | 2 |
| C2×#10597286 | 2 |
| #11926816 | 2 |
| #11926361 | 2 |
| #11926351 | 2 |
| #11926329 | 2 |
| C19×#510 | 2 |
| #2195 | 19 |