Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
980 conjugacy classes of subgroups; only the 139 normal subgroups are shown.
This group has 980 conjugacy classes of subgroups — too many to draw. Only its 139 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. #19134505 | C2 | semidirect |
| 3. C2×#14582632 | C2 | semidirect |
| 4. #19132474 | C2 | semidirect |
| 5. C2×C43×#381 | C2 | semidirect |
| 6. C2×#13063299 | C4 | semidirect |
| 13. #14582759 | C4 | semidirect |
| 53. #95×C43 | D4 | semidirect |
| 196. C2×#381 | D43 | semidirect |
| 224. C43 | #9158 | semidirect |
| 257. #95 | C22⋊D43 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19142877 | 2 |
| #19134505 | 2 |
| C2×#14582632 | 2 |
| #19132474 | 2 |
| C2×C43×#381 | 2 |
| #9158 | 43 |