Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
332 conjugacy classes of subgroups; only the 67 normal subgroups are shown.
This group has 332 conjugacy classes of subgroups — too many to draw. Only its 67 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. #19132771 | C2 | semidirect |
| 4. #19132756 | C2 | semidirect |
| 6. #14583511 | C4 | semidirect |
| 8. #14583271 | C4 | semidirect |
| 9. #14583263 | C4 | semidirect |
| 15. #14582960 | C4 | semidirect |
| 27. #13063325 | C2×C4 | semidirect |
| 29. #13063317 | C2×C4 | semidirect |
| 42. #13063236 | C2×C4 | semidirect |
| 43. C4×C43⋊C8 | C2×C4 | semidirect |
| 175. C43 | #13607 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19145667 | 2 |
| #19136264 | 2 |
| #19132771 | 2 |
| #19132756 | 2 |
| C43×#2134 | 2 |
| #13607 | 43 |