Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
650 conjugacy classes of subgroups; only the 111 normal subgroups are shown.
This group has 650 conjugacy classes of subgroups — too many to draw. Only its 111 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. #19135513 | C2 | semidirect |
| 3. #19133102 | C2 | semidirect |
| 4. #19133038 | C2 | semidirect |
| 5. #19132488 | C2 | semidirect |
| 6. #19132451 | C2 | semidirect |
| 7. C43×#2275 | C2 | semidirect |
| 10. #14583189 | C4 | semidirect |
| 11. #14583094 | C4 | semidirect |
| 32. #13063325 | C2×C4 | semidirect |
| 33. #13063322 | C2×C4 | semidirect |
| 41. C4⋊(C43⋊C8) | C2×C4 | semidirect |
| 129. D4×C43 | #104 | semidirect |
| 191. #2275 | D43 | semidirect |
| 225. C43 | #9325 | semidirect |
| 332. D4 | #13063253 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19144686 | 2 |
| #19135513 | 2 |
| #19133102 | 2 |
| #19133038 | 2 |
| #19132488 | 2 |
| #19132451 | 2 |
| C43×#2275 | 2 |
| #9325 | 43 |