Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
514 conjugacy classes of subgroups; only the 95 normal subgroups are shown.
This group has 514 conjugacy classes of subgroups — too many to draw. Only its 95 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. #19143632 | C2 | semidirect |
| 3. #19133194 | C2 | semidirect |
| 4. #19133037 | C2 | semidirect |
| 5. #19132948 | C2 | semidirect |
| 6. #19132445 | C2 | semidirect |
| 7. C43×#1290 | C2 | semidirect |
| 224. #1290 | D43 | semidirect |
| 259. C43 | #9243 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#14583115 | 2 |
| #19143632 | 2 |
| #19133194 | 2 |
| #19133037 | 2 |
| #19132948 | 2 |
| #19132445 | 2 |
| C43×#1290 | 2 |
| #9243 | 43 |