Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
422 conjugacy classes of subgroups; only the 115 normal subgroups are shown.
This group has 422 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 |
|---|---|---|
| 2. C2×#14582714 | C2 | semidirect |
| 4. #19136191 | C2 | semidirect |
| 5. #19135508 | C2 | semidirect |
| 7. C2×C43×#368 | C2 | semidirect |
| 13. C2×#13063270 | C4 | semidirect |
| 156. C2×#368 | D43 | semidirect |
| 187. C43 | #13246 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22×#13063270 | 2 |
| C2×#14582714 | 2 |
| C2×#14582711 | 2 |
| #19136191 | 2 |
| #19135508 | 2 |
| #19135503 | 2 |
| C2×C43×#368 | 2 |
| #13246 | 43 |