Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
464 conjugacy classes of subgroups; only the 85 normal subgroups are shown.
This group has 464 conjugacy classes of subgroups — too many to draw. Only its 85 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. #19143655 | C2 | semidirect |
| 3. #19133149 | C2 | semidirect |
| 4. #19133123 | C2 | semidirect |
| 5. #19132956 | C2 | semidirect |
| 6. #19132471 | C2 | semidirect |
| 7. C43×#1306 | C2 | semidirect |
| 10. #14583230 | C4 | semidirect |
| 12. #14583213 | C4 | semidirect |
| 15. #14583052 | C4 | semidirect |
| 17. #14583035 | C4 | semidirect |
| 223. #1306 | D43 | semidirect |
| 260. C43 | #9332 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19145411 | 2 |
| #19143655 | 2 |
| #19133149 | 2 |
| #19133123 | 2 |
| #19132956 | 2 |
| #19132471 | 2 |
| C43×#1306 | 2 |
| #9332 | 43 |