Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
554 conjugacy classes of subgroups; only the 105 normal subgroups are shown.
This group has 554 conjugacy classes of subgroups — too many to draw. Only its 105 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. C22×#13063268 | C2 | semidirect |
| 3. C2×#14582715 | C2 | semidirect |
| 4. C2×#14582706 | C2 | semidirect |
| 5. #19135505 | C2 | semidirect |
| 6. #19132684 | C2 | semidirect |
| 7. C43×#3156 | C2 | semidirect |
| 197. #3156 | D43 | semidirect |
| 231. C43 | #13337 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#14583334 | 2 |
| C22×#13063268 | 2 |
| C2×#14582715 | 2 |
| C2×#14582706 | 2 |
| #19135505 | 2 |
| #19132684 | 2 |
| C43×#3156 | 2 |
| #13337 | 43 |