Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
380 conjugacy classes of subgroups; only the 117 normal subgroups are shown.
This group has 380 conjugacy classes of subgroups — too many to draw. Only its 117 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. #19136390 | C2 | semidirect |
| 4. #19135386 | C2 | semidirect |
| 5. #19132688 | C2 | semidirect |
| 6. #19132685 | C2 | semidirect |
| 23. C43×#362 | C4 | semidirect |
| 24. C43×#361 | C4 | semidirect |
| 162. #362 | Dic43 | semidirect |
| 163. #361 | Dic43 | semidirect |
| 166. C43 | #12942 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19143512 | 2 |
| #19136390 | 2 |
| C2×#14582706 | 2 |
| #19135386 | 2 |
| #19132688 | 2 |
| #19132685 | 2 |
| C43×#2148 | 2 |
| #12942 | 43 |