Finite Group DatabasebetaFinite Group DatabasebetaOrder 2432.
366 conjugacy classes of subgroups; only the 111 normal subgroups are shown.
This group has 366 conjugacy classes of subgroups — too many to draw. Only its 111 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. #11927100 | C2 | semidirect |
| 3. #11926950 | C2 | semidirect |
| 4. #11926910 | C2 | semidirect |
| 5. #11926909 | C2 | semidirect |
| 6. #11926871 | C2 | semidirect |
| 7. #11926870 | C2 | semidirect |
| 8. #11926833 | C2 | semidirect |
| 9. #11926823 | C2 | semidirect |
| 10. #11926599 | C2 | semidirect |
| 11. C19×#501 | C2 | semidirect |
| 127. #501 | D19 | semidirect |
| 171. C19 | #3235 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11927100 | 2 |
| #11927095 | 2 |
| #11926950 | 2 |
| #11926910 | 2 |
| #11926909 | 2 |
| #11926871 | 2 |
| #11926870 | 2 |
| #11926833 | 2 |
| #11926823 | 2 |
| #11926599 | 2 |
| C19×#501 | 2 |
| #3235 | 19 |