Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
536 conjugacy classes of subgroups; only the 99 normal subgroups are shown.
This group has 536 conjugacy classes of subgroups — too many to draw. Only its 99 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. #19134631 | C2 | semidirect |
| 3. #19134374 | C2 | semidirect |
| 4. #19133112 | C2 | semidirect |
| 5. #19133111 | C2 | semidirect |
| 6. #19132954 | C2 | semidirect |
| 7. C43×#1471 | C2 | semidirect |
| 8. C22×#10621882 | C4 | semidirect |
| 16. C2×#13063258 | C4 | semidirect |
| 17. C2×#13063246 | C4 | semidirect |
| 18. C2×#13063245 | C4 | semidirect |
| 223. #1471 | D43 | semidirect |
| 255. C43 | #9818 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#14583133 | 2 |
| #19134631 | 2 |
| #19134374 | 2 |
| #19133112 | 2 |
| #19133111 | 2 |
| #19132954 | 2 |
| C43×#1471 | 2 |
| #9818 | 43 |