Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
424 conjugacy classes of subgroups; only the 83 normal subgroups are shown.
This group has 424 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 |
|---|---|---|
| 3. #19133332 | C2 | semidirect |
| 5. #19133015 | C2 | semidirect |
| 6. #19132486 | C2 | semidirect |
| 7. C43×#1574 | C2 | semidirect |
| 162. #1574 | D43 | semidirect |
| 191. C43 | #10492 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19145538 | 2 |
| #19135434 | 2 |
| #19133332 | 2 |
| #19133262 | 2 |
| #19133015 | 2 |
| #19132486 | 2 |
| C43×#1574 | 2 |
| #10492 | 43 |