Finite Group DatabasebetaFinite Group DatabasebetaOrder 2432.
312 conjugacy classes of subgroups; only the 93 normal subgroups are shown.
This group has 312 conjugacy classes of subgroups — too many to draw. Only its 93 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. C2×#10597273 | C2 | semidirect |
| 4. C2×#10597281 | C2 | semidirect |
| 5. #11926312 | C2 | semidirect |
| 6. #11926309 | C2 | semidirect |
| 17. #10597397 | C4 | semidirect |
| 144. C19 | #1908 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#10597397 | 2 |
| #11926545 | 2 |
| C2×#10597273 | 2 |
| C2×#10597281 | 2 |
| #11926312 | 2 |
| #11926309 | 2 |
| C2×C19×#131 | 2 |
| #1908 | 19 |