Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
402 conjugacy classes of subgroups; only the 85 normal subgroups are shown.
This group has 402 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. #19143700 | C2 | semidirect |
| 3. #19133147 | C2 | semidirect |
| 5. #19132466 | C2 | semidirect |
| 6. #19132461 | C2 | semidirect |
| 9. #14583302 | C4 | semidirect |
| 10. #14583271 | C4 | semidirect |
| 11. #14583251 | C4 | semidirect |
| 12. #14583245 | C4 | semidirect |
| 182. C43 | #9418 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19145309 | 2 |
| #19143700 | 2 |
| #19133147 | 2 |
| #19133142 | 2 |
| #19132466 | 2 |
| #19132461 | 2 |
| C43×#1536 | 2 |
| #9418 | 43 |