Finite Group DatabasebetaFinite Group DatabasebetaOrder 2432.
340 conjugacy classes of subgroups; only the 149 normal subgroups are shown.
This group has 340 conjugacy classes of subgroups — too many to draw. Only its 149 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 |
|---|---|---|
| 3. #11926952 | C2 | semidirect |
| 4. #11926951 | C2 | semidirect |
| 5. #11926945 | C2 | semidirect |
| 6. #11926941 | C2 | semidirect |
| 46. M16×C19 | Q8 | semidirect |
| 70. C2×C19⋊C8 | Q8 | semidirect |
| 153. C19 | #3163 | semidirect |
| 159. M16 | Dic38 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11927175 | 2 |
| #11927172 | 2 |
| #11926952 | 2 |
| #11926951 | 2 |
| #11926945 | 2 |
| #11926941 | 2 |
| #11926586 | 2 |
| #11926580 | 2 |
| C2×#10597265 | 2 |
| #11926502 | 2 |
| C19×#428 | 2 |
| #3163 | 19 |