Finite Group DatabasebetaFinite Group DatabasebetaOrder 2432.
326 conjugacy classes of subgroups; only the 69 normal subgroups are shown.
This group has 326 conjugacy classes of subgroups — too many to draw. Only its 69 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×#10597282 | C2 | semidirect |
| 3. #11926543 | C2 | semidirect |
| 4. C2×#10597280 | C2 | semidirect |
| 5. #11926445 | C2 | semidirect |
| 6. #11926303 | C2 | semidirect |
| 7. C19×#428 | C2 | semidirect |
| 48. M16×C19 | D4 | semidirect |
| 125. #428 | D19 | semidirect |
| 157. C19 | #2037 | semidirect |
| 181. M16 | D76 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11927113 | 2 |
| C2×#10597282 | 2 |
| #11926543 | 2 |
| C2×#10597280 | 2 |
| #11926445 | 2 |
| #11926303 | 2 |
| C19×#428 | 2 |
| #2037 | 19 |