Finite Group DatabasebetaFinite Group DatabasebetaOrder 2432.
142 conjugacy classes of subgroups; only the 55 normal subgroups are shown.
This group has 142 conjugacy classes of subgroups — too many to draw. Only its 55 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. #11926949 | C2 | semidirect |
| 3. #11926372 | C2 | semidirect |
| 5. C19×C4⋊C16 | C2 | semidirect |
| 26. D152 | Q8 | semidirect |
| 55. C4⋊C16 | D19 | semidirect |
| 70. C19 | #2226 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11926949 | 2 |
| C4×D152 | 2 |
| #11926372 | 2 |
| #11926346 | 2 |
| C19×C4⋊C16 | 2 |
| #2226 | 19 |