Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
480 conjugacy classes of subgroups; only the 103 normal subgroups are shown.
This group has 480 conjugacy classes of subgroups — too many to draw. Only its 103 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. #19132481 | C2 | semidirect |
| 4. #19132447 | C2 | semidirect |
| 16. C43×#383 | C4 | semidirect |
| 18. C43×#380 | C4 | semidirect |
| 21. C43×#376 | C4 | semidirect |
| 22. C2×#95×C43 | C4 | semidirect |
| 185. #383 | Dic43 | semidirect |
| 187. #380 | Dic43 | semidirect |
| 191. #376 | Dic43 | semidirect |
| 192. C2×#95 | Dic43 | semidirect |
| 196. C43 | #8777 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C4×#13063240 | 2 |
| #19132933 | 2 |
| #19132481 | 2 |
| #19132447 | 2 |
| C43×#2353 | 2 |
| #8777 | 43 |