Finite Group DatabasebetaFinite Group DatabasebetaOrder 2432.
144 conjugacy classes of subgroups; only the 63 normal subgroups are shown.
This group has 144 conjugacy classes of subgroups — too many to draw. Only its 63 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. #11926962 | C2 | semidirect |
| 2. #11926961 | C2 | semidirect |
| 4. #11926364 | C2 | semidirect |
| 5. #11926327 | C2 | semidirect |
| 6. #11926319 | C2 | semidirect |
| 7. C19×#350 | C2 | semidirect |
| 73. #350 | D19 | semidirect |
| 94. C19 | #2171 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11926962 | 2 |
| #11926961 | 2 |
| #11926659 | 2 |
| #11926364 | 2 |
| #11926327 | 2 |
| #11926319 | 2 |
| C19×#350 | 2 |
| #2171 | 19 |