Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
936 conjugacy classes of subgroups; only the 155 normal subgroups are shown.
This group has 936 conjugacy classes of subgroups — too many to draw. Only its 155 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. C2×#14583649 | C2 | semidirect |
| 2. #19145781 | C2 | semidirect |
| 3. #19133904 | C2 | semidirect |
| 4. #19133891 | C2 | semidirect |
| 5. #19133219 | C2 | semidirect |
| 6. #19133196 | C2 | semidirect |
| 16. #14583305 | C22 | semidirect |
| 17. #14583263 | C22 | semidirect |
| 22. #14582640 | C22 | semidirect |
| 218. C43 | #18994 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#14583649 | 2 |
| #19145781 | 2 |
| #19133904 | 2 |
| #19133891 | 2 |
| #19133219 | 2 |
| #19133196 | 2 |
| C43×#3153 | 2 |
| #18994 | 43 |