Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
820 conjugacy classes of subgroups; only the 171 normal subgroups are shown.
This group has 820 conjugacy classes of subgroups — too many to draw. Only its 171 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. #19145822 | C2 | semidirect |
| 2. #19144977 | C2 | semidirect |
| 3. #19133929 | C2 | semidirect |
| 4. #19133923 | C2 | semidirect |
| 5. #19133918 | C2 | semidirect |
| 6. #19133233 | C2 | semidirect |
| 7. #19133202 | C2 | semidirect |
| 238. C43 | #19005 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19145822 | 2 |
| #19144977 | 2 |
| #19133929 | 2 |
| #19133923 | 2 |
| #19133918 | 2 |
| #19133233 | 2 |
| #19133202 | 2 |
| C43×#3531 | 2 |
| #19005 | 43 |