Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
332 conjugacy classes of subgroups; only the 107 normal subgroups are shown.
This group has 332 conjugacy classes of subgroups — too many to draw. Only its 107 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 |
|---|---|---|
| 2. C2×C16×Dic43 | C2 | semidirect |
| 4. #19135344 | C2 | semidirect |
| 5. #19132690 | C2 | semidirect |
| 6. #19132689 | C2 | semidirect |
| 21. C43×#358 | C4 | semidirect |
| 22. C43×#357 | C4 | semidirect |
| 156. #358 | Dic43 | semidirect |
| 157. #357 | Dic43 | semidirect |
| 160. C43 | #13151 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#14582706 | 2 |
| C2×C16×Dic43 | 2 |
| #19135484 | 2 |
| #19135344 | 2 |
| #19132690 | 2 |
| #19132689 | 2 |
| C43×#2138 | 2 |
| #13151 | 43 |