Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
306 conjugacy classes of subgroups; only the 93 normal subgroups are shown.
This group has 306 conjugacy classes of subgroups — too many to draw. Only its 93 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. #19136200 | C2 | semidirect |
| 5. #19132709 | C2 | semidirect |
| 6. #19132702 | C2 | semidirect |
| 7. C43×#1951 | C2 | semidirect |
| 14. #14582714 | C4 | semidirect |
| 15. #14582711 | C4 | semidirect |
| 139. #1951 | D43 | semidirect |
| 162. C43 | #13156 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19136342 | 2 |
| C2×#14582708 | 2 |
| #19136200 | 2 |
| #19135493 | 2 |
| #19132709 | 2 |
| #19132702 | 2 |
| C43×#1951 | 2 |
| #13156 | 43 |