Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
666 conjugacy classes of subgroups; only the 103 normal subgroups are shown.
This group has 666 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. #19136286 | C2 | semidirect |
| 3. #19136246 | C2 | semidirect |
| 4. #19134565 | C2 | semidirect |
| 5. #19132725 | C2 | semidirect |
| 6. #19132717 | C2 | semidirect |
| 7. C43×#2888 | C2 | semidirect |
| 8. C2×#13063350 | C4 | semidirect |
| 9. C22×#10621882 | C4 | semidirect |
| 17. #14582904 | C4 | semidirect |
| 18. #14582895 | C4 | semidirect |
| 248. #2888 | D43 | semidirect |
| 286. C43 | #13099 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19143863 | 2 |
| #19136286 | 2 |
| #19136246 | 2 |
| #19134565 | 2 |
| #19132725 | 2 |
| #19132717 | 2 |
| C43×#2888 | 2 |
| #13099 | 43 |