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 |
|---|---|---|
| 3. #11926280 | C2 | semidirect |
| 6. C22×Dic38 | C4 | semidirect |
| 10. C2×C4⋊Dic19 | C4 | semidirect |
| 13. #10597370 | C4 | semidirect |
| 118. C19 | #1520 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#10597370 | 2 |
| C2×C22⋊(C19⋊C8) | 2 |
| #11926280 | 2 |
| C19×#380 | 2 |
| #1520 | 19 |