Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
474 conjugacy classes of subgroups; only the 119 normal subgroups are shown.
This group has 474 conjugacy classes of subgroups — too many to draw. Only its 119 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×#14582715 | C2 | semidirect |
| 5. #19132693 | C2 | semidirect |
| 6. #19132675 | C2 | semidirect |
| 7. C2×C43×#441 | C2 | semidirect |
| 11. C2×#13063271 | C4 | semidirect |
| 12. C2×#13063268 | C4 | semidirect |
| 166. C2×#441 | D43 | semidirect |
| 196. C43 | #13038 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#14583340 | 2 |
| C2×#14582715 | 2 |
| C2×#14582708 | 2 |
| #19135488 | 2 |
| #19132693 | 2 |
| #19132675 | 2 |
| C2×C43×#441 | 2 |
| #13038 | 43 |