Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
552 conjugacy classes of subgroups; only the 83 normal subgroups are shown.
This group has 552 conjugacy classes of subgroups — too many to draw. Only its 83 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. #19134332 | C2 | semidirect |
| 3. #19132908 | C2 | semidirect |
| 4. #19132599 | C2 | semidirect |
| 5. #19132598 | C2 | semidirect |
| 6. #19132597 | C2 | semidirect |
| 7. C43×#1345 | C2 | semidirect |
| 224. #1345 | D43 | semidirect |
| 252. C43 | #11699 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19140347 | 2 |
| #19134332 | 2 |
| #19132908 | 2 |
| #19132599 | 2 |
| #19132598 | 2 |
| #19132597 | 2 |
| C43×#1345 | 2 |
| #11699 | 43 |