Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
692 conjugacy classes of subgroups; only the 105 normal subgroups are shown.
This group has 692 conjugacy classes of subgroups — too many to draw. Only its 105 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. C2×#14583210 | C2 | semidirect |
| 2. #19139067 | C2 | semidirect |
| 3. #19135432 | C2 | semidirect |
| 4. #19134682 | C2 | semidirect |
| 5. #19133163 | C2 | semidirect |
| 6. #19132442 | C2 | semidirect |
| 125. C22⋊Dic43 | D8 | semidirect |
| 257. C43 | #9952 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#14583210 | 2 |
| #19139067 | 2 |
| #19135432 | 2 |
| #19134682 | 2 |
| #19133163 | 2 |
| #19132442 | 2 |
| C43×#3186 | 2 |
| #9952 | 43 |