Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
308 conjugacy classes of subgroups; only the 57 normal subgroups are shown.
This group has 308 conjugacy classes of subgroups — too many to draw. Only its 57 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 |
|---|---|---|
| 4. #19132770 | C2 | semidirect |
| 5. #19132756 | C2 | semidirect |
| 6. #19132754 | C2 | semidirect |
| 7. C43×#1414 | C2 | semidirect |
| 8. #14583512 | C4 | semidirect |
| 11. #14583279 | C4 | semidirect |
| 12. #14583269 | C4 | semidirect |
| 17. #14582958 | C4 | semidirect |
| 154. #1414 | D43 | semidirect |
| 180. C43 | #13608 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19145681 | 2 |
| #19136281 | 2 |
| #19136268 | 2 |
| #19132770 | 2 |
| #19132756 | 2 |
| #19132754 | 2 |
| C43×#1414 | 2 |
| #13608 | 43 |