Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
204 conjugacy classes of subgroups; only the 75 normal subgroups are shown.
This group has 204 conjugacy classes of subgroups — too many to draw. Only its 75 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. #19136438 | C2 | semidirect |
| 3. #19132662 | C2 | semidirect |
| 4. #19132571 | C2 | semidirect |
| 5. #19132570 | C2 | semidirect |
| 6. #19132517 | C2 | semidirect |
| 7. C43×#2171 | C2 | semidirect |
| 25. #13063271 | C8 | semidirect |
| 26. #13063269 | C8 | semidirect |
| 27. #13063268 | C8 | semidirect |
| 28. #13063266 | C8 | semidirect |
| 100. #2171 | D43 | semidirect |
| 124. C43 | #12068 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19136479 | 2 |
| #19136438 | 2 |
| #19132662 | 2 |
| #19132571 | 2 |
| #19132570 | 2 |
| #19132517 | 2 |
| C43×#2171 | 2 |
| #12068 | 43 |