Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
376 conjugacy classes of subgroups; only the 55 normal subgroups are shown.
This group has 376 conjugacy classes of subgroups — too many to draw. Only its 55 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. #19136809 | C2 | semidirect |
| 3. #19132585 | C2 | semidirect |
| 4. #19132531 | C2 | semidirect |
| 5. C43×#2091 | C2 | semidirect |
| 13. #14582681 | C22 | semidirect |
| 15. C43×#430 | C22 | semidirect |
| 18. C43×#338 | C22 | semidirect |
| 124. #2091 | D43 | semidirect |
| 138. #430 | C2×D43 | semidirect |
| 144. #338 | C2×D43 | semidirect |
| 145. C43 | #12298 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19145395 | 2 |
| #19136809 | 2 |
| #19132585 | 2 |
| #19132531 | 2 |
| C43×#2091 | 2 |
| #12298 | 43 |