Finite Group DatabasebetaFinite Group DatabasebetaOrder 2432.
186 conjugacy classes of subgroups; only the 61 normal subgroups are shown.
This group has 186 conjugacy classes of subgroups — too many to draw. Only its 61 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. #11926942 | C2 | semidirect |
| 2. #11926924 | C2 | semidirect |
| 3. #11926895 | C2 | semidirect |
| 7. C19×#322 | C2 | semidirect |
| 71. #322 | D19 | semidirect |
| 89. C19 | #1720 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11926942 | 2 |
| #11926924 | 2 |
| #11926895 | 2 |
| #11926891 | 2 |
| C19×#322 | 2 |
| #1720 | 19 |