Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
424 conjugacy classes of subgroups; only the 85 normal subgroups are shown.
This group has 424 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. #19134881 | C2 | semidirect |
| 5. #19132716 | C2 | semidirect |
| 6. #19132715 | C2 | semidirect |
| 7. C43×#1868 | C2 | semidirect |
| 20. #14582693 | C4 | semidirect |
| 21. #14582691 | C4 | semidirect |
| 188. #1868 | D43 | semidirect |
| 218. C43 | #12968 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19143659 | 2 |
| #19136258 | 2 |
| #19134978 | 2 |
| #19134881 | 2 |
| #19132716 | 2 |
| #19132715 | 2 |
| C43×#1868 | 2 |
| #12968 | 43 |