Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
720 conjugacy classes of subgroups; only the 107 normal subgroups are shown.
This group has 720 conjugacy classes of subgroups — too many to draw. Only its 107 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. #19133312 | C2 | semidirect |
| 3. #19133218 | C2 | semidirect |
| 4. #19133218 | C2 | semidirect |
| 5. #19132927 | C2 | semidirect |
| 6. #19132927 | C2 | semidirect |
| 7. C43×#1556 | C2 | semidirect |
| 230. #1556 | D43 | semidirect |
| 268. C43 | #8523 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#14583523 | 2 |
| #19133312 | 2 |
| #19133218 | 2 |
| #19132927 | 2 |
| C43×#1556 | 2 |
| #8523 | 43 |