Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
420 conjugacy classes of subgroups; only the 71 normal subgroups are shown.
This group has 420 conjugacy classes of subgroups — too many to draw. Only its 71 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×#14582694 | C2 | semidirect |
| 3. #19132756 | C2 | semidirect |
| 4. #19132753 | C2 | semidirect |
| 5. C2×C43×#355 | C2 | semidirect |
| 8. #14583449 | C4 | semidirect |
| 9. #14583294 | C4 | semidirect |
| 11. #14583289 | C4 | semidirect |
| 16. C4×#10621877 | C4 | semidirect |
| 37. #13063325 | C2×C4 | semidirect |
| 38. #13063322 | C2×C4 | semidirect |
| 45. #13063236 | C2×C4 | semidirect |
| 46. #13063236 | C2×C4 | semidirect |
| 171. C2×#355 | D43 | semidirect |
| 199. C43 | #13578 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19145059 | 2 |
| C2×#14582694 | 2 |
| #19132756 | 2 |
| #19132753 | 2 |
| C2×C43×#355 | 2 |
| #13578 | 43 |