Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
316 conjugacy classes of subgroups; only the 101 normal subgroups are shown.
This group has 316 conjugacy classes of subgroups — too many to draw. Only its 101 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 |
|---|---|---|
| 1. #19136390 | C2 | semidirect |
| 4. #108×Dic43 | C2 | semidirect |
| 5. #19132708 | C2 | semidirect |
| 6. #19132676 | C2 | semidirect |
| 21. C43×#362 | C4 | semidirect |
| 22. C43×#361 | C4 | semidirect |
| 160. #362 | Dic43 | semidirect |
| 161. #361 | Dic43 | semidirect |
| 164. C43 | #13137 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19136390 | 2 |
| #19136323 | 2 |
| #19135484 | 2 |
| #108×Dic43 | 2 |
| #19132708 | 2 |
| #19132676 | 2 |
| C43×#2148 | 2 |
| #13137 | 43 |