Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
576 conjugacy classes of subgroups; only the 89 normal subgroups are shown.
This group has 576 conjugacy classes of subgroups — too many to draw. Only its 89 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. #19137705 | C2 | semidirect |
| 3. #19133218 | C2 | semidirect |
| 4. #19133104 | C2 | semidirect |
| 5. #19133102 | C2 | semidirect |
| 6. #19132489 | C2 | semidirect |
| 7. C43×#1300 | C2 | semidirect |
| 12. #14583293 | C4 | semidirect |
| 13. #14583288 | C4 | semidirect |
| 43. #13063325 | C2×C4 | semidirect |
| 44. #13063322 | C2×C4 | semidirect |
| 76. #97×C43 | C2×C4 | semidirect |
| 226. #1300 | D43 | semidirect |
| 257. C43 | #9441 | semidirect |
| 298. #97 | C4×D43 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19145061 | 2 |
| #19137705 | 2 |
| #19133218 | 2 |
| #19133104 | 2 |
| #19133102 | 2 |
| #19132489 | 2 |
| C43×#1300 | 2 |
| #9441 | 43 |