Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
666 conjugacy classes of subgroups; only the 99 normal subgroups are shown.
This group has 666 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. #19143074 | C2 | semidirect |
| 3. #19136286 | C2 | semidirect |
| 4. #19136244 | C2 | semidirect |
| 5. #19132723 | C2 | semidirect |
| 6. #19132717 | C2 | semidirect |
| 7. C43×#1795 | C2 | semidirect |
| 8. C2×#13063350 | C4 | semidirect |
| 9. C22×#10621882 | C4 | semidirect |
| 16. #14582904 | C4 | semidirect |
| 17. #14582895 | C4 | semidirect |
| 251. #1795 | 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 |
| #19143074 | 2 |
| #19136286 | 2 |
| #19136244 | 2 |
| #19132723 | 2 |
| #19132717 | 2 |
| C43×#1795 | 2 |
| #13099 | 43 |