Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
314 conjugacy classes of subgroups; only the 81 normal subgroups are shown.
This group has 314 conjugacy classes of subgroups — too many to draw. Only its 81 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. #19136349 | C2 | semidirect |
| 3. #19133349 | C2 | semidirect |
| 4. #19132647 | C2 | semidirect |
| 5. #19132639 | C2 | semidirect |
| 6. #19132637 | C2 | semidirect |
| 7. C43×#1363 | C2 | semidirect |
| 150. #1363 | D43 | semidirect |
| 177. C43 | #11980 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19145167 | 2 |
| #19136349 | 2 |
| #19133349 | 2 |
| #19132647 | 2 |
| #19132639 | 2 |
| #19132637 | 2 |
| C43×#1363 | 2 |
| #11980 | 43 |