Finite Group DatabasebetaFinite Group DatabasebetaOrder 2432.
244 conjugacy classes of subgroups; only the 65 normal subgroups are shown.
This group has 244 conjugacy classes of subgroups — too many to draw. Only its 65 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. #11927097 | C2 | semidirect |
| 4. #11926315 | C2 | semidirect |
| 5. #11926305 | C2 | semidirect |
| 6. #11926300 | C2 | semidirect |
| 27. C2×Q8×C19 | Q8 | semidirect |
| 29. C2×D4×C19 | Q8 | semidirect |
| 125. C19 | #2031 | semidirect |
| 131. C2×Q8 | Dic38 | semidirect |
| 133. C2×D4 | Dic38 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11927097 | 2 |
| C2×#10597294 | 2 |
| #11926518 | 2 |
| #11926315 | 2 |
| #11926305 | 2 |
| #11926300 | 2 |
| C19×#421 | 2 |
| #2031 | 19 |