Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
466 conjugacy classes of subgroups; only the 111 normal subgroups are shown.
This group has 466 conjugacy classes of subgroups — too many to draw. Only its 111 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. #19134312 | C2 | semidirect |
| 3. #19132608 | C2 | semidirect |
| 4. #19132605 | C2 | semidirect |
| 5. C2×C43×C22⋊C16 | C2 | semidirect |
| 6. C2×#13063347 | C4 | semidirect |
| 9. #14583140 | C4 | semidirect |
| 11. #14583135 | C4 | semidirect |
| 15. #14582937 | C4 | semidirect |
| 168. C2×C22⋊C16 | D43 | semidirect |
| 196. C43 | #11703 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19144176 | 2 |
| #19134312 | 2 |
| #19132608 | 2 |
| #19132605 | 2 |
| C2×C43×C22⋊C16 | 2 |
| #11703 | 43 |