Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
408 conjugacy classes of subgroups; only the 85 normal subgroups are shown.
This group has 408 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. #19132725 | C2 | semidirect |
| 6. #19132724 | C2 | semidirect |
| 7. C43×#1858 | C2 | semidirect |
| 20. #14582697 | C4 | semidirect |
| 21. #14582695 | C4 | semidirect |
| 186. #1858 | D43 | semidirect |
| 216. C43 | #12974 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19143664 | 2 |
| #19136278 | 2 |
| #19134978 | 2 |
| #19134815 | 2 |
| #19132725 | 2 |
| #19132724 | 2 |
| C43×#1858 | 2 |
| #12974 | 43 |