Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
450 conjugacy classes of subgroups; only the 99 normal subgroups are shown.
This group has 450 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 |
|---|---|---|
| 3. #19133189 | C2 | semidirect |
| 4. #19133106 | C2 | semidirect |
| 5. #19132488 | C2 | semidirect |
| 6. #19132467 | C2 | semidirect |
| 10. #14583194 | C4 | semidirect |
| 11. #14583189 | C4 | semidirect |
| 12. #14583109 | C4 | semidirect |
| 13. #14583104 | C4 | semidirect |
| 227. C43 | #9160 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19144757 | 2 |
| #19143615 | 2 |
| #19133189 | 2 |
| #19133106 | 2 |
| #19132488 | 2 |
| #19132467 | 2 |
| C43×#1759 | 2 |
| #9160 | 43 |