Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
472 conjugacy classes of subgroups; only the 115 normal subgroups are shown.
This group has 472 conjugacy classes of subgroups — too many to draw. Only its 115 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. #19132474 | C2 | semidirect |
| 4. #19132462 | C2 | semidirect |
| 16. C43×#383 | C4 | semidirect |
| 17. C43×#381 | C4 | semidirect |
| 20. C4×C22⋊C4×C43 | C4 | semidirect |
| 21. C43×#376 | C4 | semidirect |
| 192. #383 | Dic43 | semidirect |
| 193. #381 | Dic43 | semidirect |
| 197. C4×C22⋊C4 | Dic43 | semidirect |
| 198. #376 | Dic43 | semidirect |
| 203. C43 | #8763 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19134583 | 2 |
| #19132913 | 2 |
| #19132474 | 2 |
| #19132462 | 2 |
| C43×#2353 | 2 |
| #8763 | 43 |