Finite Group DatabasebetaFinite Group DatabasebetaOrder 2432.
370 conjugacy classes of subgroups; only the 83 normal subgroups are shown.
This group has 370 conjugacy classes of subgroups — too many to draw. Only its 83 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. #11927024 | C2 | semidirect |
| 3. C2×#10597262 | C2 | semidirect |
| 4. #11926548 | C2 | semidirect |
| 5. #11926446 | C2 | semidirect |
| 6. #11926312 | C2 | semidirect |
| 7. C19×#339 | C2 | semidirect |
| 17. #10597354 | C4 | semidirect |
| 42. C2×D76 | C2×C4 | semidirect |
| 48. M16×C19 | C2×C4 | semidirect |
| 95. D76 | C22⋊C4 | semidirect |
| 100. Dic38 | C22⋊C4 | semidirect |
| 132. #339 | D19 | semidirect |
| 160. C19 | #1883 | semidirect |
| 185. M16 | C4×D19 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#10597354 | 2 |
| #11927024 | 2 |
| C2×#10597262 | 2 |
| #11926548 | 2 |
| #11926446 | 2 |
| #11926312 | 2 |
| C19×#339 | 2 |
| #1883 | 19 |