Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
580 conjugacy classes of subgroups; only the 103 normal subgroups are shown.
This group has 580 conjugacy classes of subgroups — too many to draw. Only its 103 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. C4×#13063240 | C2 | semidirect |
| 3. #19133112 | C2 | semidirect |
| 4. #19132449 | C2 | semidirect |
| 5. C43×#2975 | C2 | semidirect |
| 8. #14582838 | C4 | semidirect |
| 9. #14582835 | C4 | semidirect |
| 10. #14582816 | C4 | semidirect |
| 12. #14582808 | C4 | semidirect |
| 61. C22⋊C8×C43 | D4 | semidirect |
| 196. #2975 | D43 | semidirect |
| 228. C43 | #9186 | semidirect |
| 259. C22⋊C8 | C22⋊D43 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19140479 | 2 |
| C4×#13063240 | 2 |
| #19133112 | 2 |
| #19132449 | 2 |
| C43×#2975 | 2 |
| #9186 | 43 |