Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
1068 conjugacy classes of subgroups; only the 163 normal subgroups are shown.
This group has 1068 conjugacy classes of subgroups — too many to draw. Only its 163 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×#14583615 | C2 | semidirect |
| 2. #19144682 | C2 | semidirect |
| 3. #19133738 | C2 | semidirect |
| 4. #19133676 | C2 | semidirect |
| 5. #19133321 | C2 | semidirect |
| 6. #19133039 | C2 | semidirect |
| 7. C43×#3152 | C2 | semidirect |
| 16. #14583186 | C22 | semidirect |
| 17. #14583091 | C22 | semidirect |
| 21. #14582648 | C22 | semidirect |
| 22. #14582628 | C22 | semidirect |
| 27. C43×#494 | C22 | semidirect |
| 28. C43×#492 | C22 | semidirect |
| 163. #3152 | D43 | semidirect |
| 185. #494 | C2×D43 | semidirect |
| 186. #492 | C2×D43 | semidirect |
| 196. C43 | #18547 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#14583615 | 2 |
| #19144682 | 2 |
| #19133738 | 2 |
| #19133676 | 2 |
| #19133321 | 2 |
| #19133039 | 2 |
| C43×#3152 | 2 |
| #18547 | 43 |