Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
784 conjugacy classes of subgroups; only the 107 normal subgroups are shown.
This group has 784 conjugacy classes of subgroups — too many to draw. Only its 107 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. #19132713 | C2 | semidirect |
| 12. C22×C22⋊C4×C43 | C4 | semidirect |
| 13. C22×C22⋊C4×C43 | C4 | semidirect |
| 16. C43×#386 | C4 | semidirect |
| 200. C22×C22⋊C4 | Dic43 | semidirect |
| 201. C22×C22⋊C4 | Dic43 | semidirect |
| 209. #386 | Dic43 | semidirect |
| 214. C43 | #12854 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19134516 | 2 |
| #19134510 | 2 |
| #19132713 | 2 |
| C43×#2308 | 2 |
| #12854 | 43 |