Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
466 conjugacy classes of subgroups; only the 115 normal subgroups are shown.
This group has 466 conjugacy classes of subgroups — too many to draw. Only its 115 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 |
|---|---|---|
| 1. C2×#14582712 | C2 | semidirect |
| 2. #19136331 | C2 | semidirect |
| 3. #19136323 | C2 | semidirect |
| 4. #19136311 | C2 | semidirect |
| 5. #19136200 | C2 | semidirect |
| 6. #19134719 | C2 | semidirect |
| 24. C43×#495 | C4 | semidirect |
| 25. C43×#493 | C4 | semidirect |
| 32. #13063265 | D4 | semidirect |
| 34. C2×C43⋊C16 | D4 | semidirect |
| 189. #495 | Dic43 | semidirect |
| 190. #493 | Dic43 | semidirect |
| 201. C43 | #13215 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#14582712 | 2 |
| #19136331 | 2 |
| #19136323 | 2 |
| #19136311 | 2 |
| #19136200 | 2 |
| #19134719 | 2 |
| C43×#3155 | 2 |
| #13215 | 43 |