Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
860 conjugacy classes of subgroups; only the 103 normal subgroups are shown.
This group has 860 conjugacy classes of subgroups — too many to draw. Only its 103 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. #19136266 | C2 | semidirect |
| 3. #19136260 | C2 | semidirect |
| 4. #19135122 | C2 | semidirect |
| 5. C43×#1884 | C2 | semidirect |
| 7. #14583641 | C4 | semidirect |
| 8. #14583615 | C4 | semidirect |
| 17. #14582873 | C22 | semidirect |
| 22. C43×#568 | C22 | semidirect |
| 25. C43×#410 | C22 | semidirect |
| 206. #1884 | D43 | semidirect |
| 213. #568 | C2×D43 | semidirect |
| 228. #410 | C2×D43 | semidirect |
| 234. C43 | #12778 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19149000 | 2 |
| #19136266 | 2 |
| #19136260 | 2 |
| #19135122 | 2 |
| C43×#1884 | 2 |
| #12778 | 43 |