Finite Group DatabasebetaFinite Group DatabasebetaOrder 2432.
288 conjugacy classes of subgroups; only the 89 normal subgroups are shown.
This group has 288 conjugacy classes of subgroups — too many to draw. Only its 89 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 |
|---|---|---|
| 73. C2×C4×C19 | Q16 | semidirect |
| 141. C19 | #2056 | semidirect |
| 200. C2×C4 | #64528 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22×#64528 | 2 |
| C2×C4⋊(C19⋊C8) | 2 |
| C2×#10597292 | 2 |
| C2×#10597267 | 2 |
| #11926450 | 2 |
| #11926306 | 2 |
| C19×#391 | 2 |
| #2056 | 19 |