Finite Group DatabasebetaFinite Group DatabasebetaOrder 2432.
384 conjugacy classes of subgroups; only the 141 normal subgroups are shown.
This group has 384 conjugacy classes of subgroups — too many to draw. Only its 141 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 |
|---|---|---|
| 4. #11926840 | C2 | semidirect |
| 5. #11926755 | C2 | semidirect |
| 7. C4×Dic76 | C2 | semidirect |
| 66. C2×C4×C19 | Q16 | semidirect |
| 136. C19 | #3104 | semidirect |
| 181. C2×C4 | Dic76 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11927101 | 2 |
| C2×C4×Dic38 | 2 |
| #11926880 | 2 |
| #11926840 | 2 |
| #11926755 | 2 |
| #11926702 | 2 |
| C4×Dic76 | 2 |
| C19×#431 | 2 |
| #3104 | 19 |