Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
938 conjugacy classes of subgroups; only the 155 normal subgroups are shown.
This group has 938 conjugacy classes of subgroups — too many to draw. Only its 155 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. #19145594 | C2 | semidirect |
| 3. #19133910 | C2 | semidirect |
| 4. #19133222 | C2 | semidirect |
| 5. #19133192 | C2 | semidirect |
| 6. C43×#3166 | C2 | semidirect |
| 14. #14583291 | C22 | semidirect |
| 15. #14583261 | C22 | semidirect |
| 20. #14582641 | C22 | semidirect |
| 21. #14582638 | C22 | semidirect |
| 24. C43×#501 | C22 | semidirect |
| 150. #3166 | D43 | semidirect |
| 167. #501 | C2×D43 | semidirect |
| 179. C43 | #19006 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#14583647 | 2 |
| #19145594 | 2 |
| #19133910 | 2 |
| #19133222 | 2 |
| #19133192 | 2 |
| C43×#3166 | 2 |
| #19006 | 43 |