Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
726 conjugacy classes of subgroups; only the 111 normal subgroups are shown.
This group has 726 conjugacy classes of subgroups — too many to draw. Only its 111 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. #19134519 | C2 | semidirect |
| 4. #19132447 | C2 | semidirect |
| 5. C43×#2310 | C2 | semidirect |
| 6. C2×#13063314 | C4 | semidirect |
| 11. #14582806 | C4 | semidirect |
| 162. #2310 | D43 | semidirect |
| 188. C43 | #9466 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19138249 | 2 |
| #19134519 | 2 |
| #19133123 | 2 |
| #19132447 | 2 |
| C43×#2310 | 2 |
| #9466 | 43 |