Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
440 conjugacy classes of subgroups; only the 71 normal subgroups are shown.
This group has 440 conjugacy classes of subgroups — too many to draw. Only its 71 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. #19136244 | C2 | semidirect |
| 3. #19135143 | C2 | semidirect |
| 4. #19135120 | C2 | semidirect |
| 5. #19134883 | C2 | semidirect |
| 6. #19132723 | C2 | semidirect |
| 7. C43×#2128 | C2 | semidirect |
| 196. #2128 | D43 | semidirect |
| 230. C43 | #13432 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19145456 | 2 |
| #19136244 | 2 |
| #19135143 | 2 |
| #19135120 | 2 |
| #19134883 | 2 |
| #19132723 | 2 |
| C43×#2128 | 2 |
| #13432 | 43 |