Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
812 conjugacy classes of subgroups; only the 99 normal subgroups are shown.
This group has 812 conjugacy classes of subgroups — too many to draw. Only its 99 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. C2×#14583038 | C2 | semidirect |
| 3. #19138249 | C2 | semidirect |
| 4. #19135430 | C2 | semidirect |
| 5. #19133162 | C2 | semidirect |
| 6. #19132442 | C2 | semidirect |
| 7. C43×#1787 | C2 | semidirect |
| 238. #1787 | D43 | semidirect |
| 273. C43 | #9948 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19145346 | 2 |
| C2×#14583038 | 2 |
| #19138249 | 2 |
| #19135430 | 2 |
| #19133162 | 2 |
| #19132442 | 2 |
| C43×#1787 | 2 |
| #9948 | 43 |