Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
444 conjugacy classes of subgroups; only the 85 normal subgroups are shown.
This group has 444 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 |
|---|---|---|
| 2. #19143580 | C2 | semidirect |
| 3. #19133224 | C2 | semidirect |
| 4. #19133039 | C2 | semidirect |
| 5. #19132935 | C2 | semidirect |
| 6. C43⋊#1308 | C2 | semidirect |
| 7. C43×#1291 | C2 | semidirect |
| 205. #1291 | D43 | semidirect |
| 239. C43 | #9532 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19144735 | 2 |
| #19143580 | 2 |
| #19133224 | 2 |
| #19133039 | 2 |
| #19132935 | 2 |
| C43⋊#1308 | 2 |
| C43×#1291 | 2 |
| #9532 | 43 |