Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
770 conjugacy classes of subgroups; only the 101 normal subgroups are shown.
This group has 770 conjugacy classes of subgroups — too many to draw. Only its 101 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 |
|---|---|---|
| 3. #19135581 | C2 | semidirect |
| 4. #19134530 | C2 | semidirect |
| 6. #19132441 | C2 | semidirect |
| 7. C2×C43×#451 | C2 | semidirect |
| 224. C2×#451 | D43 | semidirect |
| 261. C43 | #9956 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19145348 | 2 |
| #19138249 | 2 |
| #19135581 | 2 |
| #19134530 | 2 |
| #19133164 | 2 |
| #19132441 | 2 |
| C2×C43×#451 | 2 |
| #9956 | 43 |