Finite Group DatabasebetaFinite Group DatabasebetaOrder 2432.
386 conjugacy classes of subgroups; only the 125 normal subgroups are shown.
This group has 386 conjugacy classes of subgroups — too many to draw. Only its 125 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 |
|---|---|---|
| 1. #11927149 | C2 | semidirect |
| 2. #11926946 | C2 | semidirect |
| 3. #11926921 | C2 | semidirect |
| 4. #11926909 | C2 | semidirect |
| 5. #11926797 | C2 | semidirect |
| 6. #11926780 | C2 | semidirect |
| 7. #11926657 | C2 | semidirect |
| 8. C4×D152 | C2 | semidirect |
| 9. C19×#405 | C2 | semidirect |
| 89. #405 | D19 | semidirect |
| 113. C19 | #3176 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11927149 | 2 |
| #11926946 | 2 |
| #11926921 | 2 |
| #11926909 | 2 |
| #11926797 | 2 |
| #11926780 | 2 |
| #11926657 | 2 |
| C4×D152 | 2 |
| C19×#405 | 2 |
| #3176 | 19 |