Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
446 conjugacy classes of subgroups; only the 91 normal subgroups are shown.
This group has 446 conjugacy classes of subgroups — too many to draw. Only its 91 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. #19132616 | C2 | semidirect |
| 4. #19132595 | C2 | semidirect |
| 12. C2×C4×Q8×C43 | C4 | semidirect |
| 15. C43×#397 | C4 | semidirect |
| 18. C43×#393 | C4 | semidirect |
| 22. C43×#376 | C4 | semidirect |
| 191. C2×C4×Q8 | Dic43 | semidirect |
| 196. #397 | Dic43 | semidirect |
| 199. #393 | Dic43 | semidirect |
| 204. #376 | Dic43 | semidirect |
| 208. C43 | #11823 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19134583 | 2 |
| #19132933 | 2 |
| #19132616 | 2 |
| #19132595 | 2 |
| C43×#2398 | 2 |
| #11823 | 43 |