Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
416 conjugacy classes of subgroups; only the 85 normal subgroups are shown.
This group has 416 conjugacy classes of subgroups — too many to draw. Only its 85 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 |
|---|---|---|
| 4. #19134815 | C2 | semidirect |
| 5. #19132723 | C2 | semidirect |
| 6. #19132718 | C2 | semidirect |
| 7. C43×#1868 | C2 | semidirect |
| 187. #1868 | D43 | semidirect |
| 218. C43 | #12963 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19143653 | 2 |
| #19136234 | 2 |
| #19135013 | 2 |
| #19134815 | 2 |
| #19132723 | 2 |
| #19132718 | 2 |
| C43×#1868 | 2 |
| #12963 | 43 |