Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
422 conjugacy classes of subgroups; only the 89 normal subgroups are shown.
This group has 422 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 |
|---|---|---|
| 3. #19133106 | C2 | semidirect |
| 5. #19133069 | C2 | semidirect |
| 6. #19132457 | C2 | semidirect |
| 7. C43×#1274 | C2 | semidirect |
| 10. #14583304 | C4 | semidirect |
| 11. #14583297 | C4 | semidirect |
| 12. #14583246 | C4 | semidirect |
| 13. #14583246 | C4 | semidirect |
| 170. #1274 | D43 | semidirect |
| 197. C43 | #9279 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19145733 | 2 |
| #19143670 | 2 |
| #19133106 | 2 |
| #19133102 | 2 |
| #19133069 | 2 |
| #19132457 | 2 |
| C43×#1274 | 2 |
| #9279 | 43 |