Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
382 conjugacy classes of subgroups; only the 69 normal subgroups are shown.
This group has 382 conjugacy classes of subgroups — too many to draw. Only its 69 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. #19134590 | C2 | semidirect |
| 3. #19132937 | C2 | semidirect |
| 4. #19132625 | C2 | semidirect |
| 7. C43×#1354 | C2 | semidirect |
| 182. #1354 | D43 | semidirect |
| 210. C43 | #11833 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19140461 | 2 |
| #19134590 | 2 |
| #19132937 | 2 |
| #19132625 | 2 |
| #19132599 | 2 |
| #19132597 | 2 |
| C43×#1354 | 2 |
| #11833 | 43 |