Finite Group DatabasebetaFinite Group DatabasebetaOrder 2432.
270 conjugacy classes of subgroups; only the 89 normal subgroups are shown.
This group has 270 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 |
|---|---|---|
| 2. C2×#10597279 | C2 | semidirect |
| 3. #11926572 | C2 | semidirect |
| 5. #11926304 | C2 | semidirect |
| 6. #11926299 | C2 | semidirect |
| 20. #10597292 | C4 | semidirect |
| 21. #10597292 | C4 | semidirect |
| 22. #10597289 | C4 | semidirect |
| 23. #10597289 | C4 | semidirect |
| 136. C19 | #1866 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#10597394 | 2 |
| C2×#10597279 | 2 |
| #11926572 | 2 |
| #11926540 | 2 |
| #11926304 | 2 |
| #11926299 | 2 |
| C2×C19×#104 | 2 |
| #1866 | 19 |