Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
688 conjugacy classes of subgroups; only the 215 normal subgroups are shown.
This group has 688 conjugacy classes of subgroups — too many to draw. Only its 215 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 |
|---|---|---|
| 1. #19135091 | C2 | semidirect |
| 2. #19135070 | C2 | semidirect |
| 3. #19134989 | C2 | semidirect |
| 5. #19134744 | C2 | semidirect |
| 20. C43×#497 | C4 | semidirect |
| 21. C43×#494 | C4 | semidirect |
| 22. C43×#492 | C4 | semidirect |
| 139. #497 | Dic43 | semidirect |
| 140. #494 | Dic43 | semidirect |
| 141. #492 | Dic43 | semidirect |
| 151. C43 | #23360 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19135091 | 2 |
| #19135070 | 2 |
| #19134989 | 2 |
| #19134979 | 2 |
| #19134744 | 2 |
| C43×#3152 | 2 |
| #23360 | 43 |