Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
572 conjugacy classes of subgroups; only the 135 normal subgroups are shown.
This group has 572 conjugacy classes of subgroups — too many to draw. Only its 135 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. C22×#13063257 | C2 | semidirect |
| 3. C2×#14582710 | C2 | semidirect |
| 4. #19132701 | C2 | semidirect |
| 5. C43×#2112 | C2 | semidirect |
| 9. #14583140 | C4 | semidirect |
| 10. #14583135 | C4 | semidirect |
| 25. C2×Dic172 | C2×C4 | semidirect |
| 27. C2×D344 | C2×C4 | semidirect |
| 38. #13063259 | C2×C4 | semidirect |
| 42. #13063257 | D4 | semidirect |
| 140. C22×C43 | #360 | semidirect |
| 157. #2112 | D43 | semidirect |
| 180. C43 | #13001 | semidirect |
| 301. C22 | #14582710 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19144176 | 2 |
| C22×#13063257 | 2 |
| C2×#14582710 | 2 |
| #19132701 | 2 |
| C43×#2112 | 2 |
| #13001 | 43 |