Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
286 conjugacy classes of subgroups; only the 71 normal subgroups are shown.
This group has 286 conjugacy classes of subgroups — too many to draw. Only its 71 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. #19136407 | C2 | semidirect |
| 3. #19132588 | C2 | semidirect |
| 5. #19132582 | C2 | semidirect |
| 7. C43×#1841 | C2 | semidirect |
| 9. #14583301 | C4 | semidirect |
| 10. #14583283 | C4 | semidirect |
| 15. #14583012 | C4 | semidirect |
| 16. #14583007 | C4 | semidirect |
| 138. #1841 | D43 | semidirect |
| 166. C43 | #11836 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19145324 | 2 |
| #19136407 | 2 |
| #19132588 | 2 |
| #19132585 | 2 |
| #19132582 | 2 |
| #19132579 | 2 |
| C43×#1841 | 2 |
| #11836 | 43 |