Finite Group DatabasebetaFinite Group DatabasebetaOrder 2432.
142 conjugacy classes of subgroups; only the 45 normal subgroups are shown.
This group has 142 conjugacy classes of subgroups — too many to draw. Only its 45 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. #11926581 | C2 | semidirect |
| 3. #11926371 | C2 | semidirect |
| 4. #11926370 | C2 | semidirect |
| 5. #11926345 | C2 | semidirect |
| 6. (C2×D19)⋊C16 | C2 | semidirect |
| 7. C19×#357 | C2 | semidirect |
| 70. #357 | D19 | semidirect |
| 88. C19 | #2234 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11926777 | 2 |
| #11926581 | 2 |
| #11926371 | 2 |
| #11926370 | 2 |
| #11926345 | 2 |
| (C2×D19)⋊C16 | 2 |
| C19×#357 | 2 |
| #2234 | 19 |