Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
332 conjugacy classes of subgroups; only the 99 normal subgroups are shown.
This group has 332 conjugacy classes of subgroups — too many to draw. Only its 99 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 |
|---|---|---|
| 3. C2×C16×Dic43 | C2 | semidirect |
| 5. #19135341 | C2 | semidirect |
| 6. #19132692 | C2 | semidirect |
| 7. C43×#1381 | C2 | semidirect |
| 16. #14582704 | C4 | semidirect |
| 17. #14582701 | C4 | semidirect |
| 139. #1381 | D43 | semidirect |
| 160. C43 | #13151 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#14582705 | 2 |
| #19136303 | 2 |
| C2×C16×Dic43 | 2 |
| #19135481 | 2 |
| #19135341 | 2 |
| #19132692 | 2 |
| C43×#1381 | 2 |
| #13151 | 43 |