Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
490 conjugacy classes of subgroups; only the 103 normal subgroups are shown.
This group has 490 conjugacy classes of subgroups — too many to draw. Only its 103 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 |
|---|---|---|
| 3. #19133107 | C2 | semidirect |
| 4. #19132489 | C2 | semidirect |
| 17. C43×#489 | C4 | semidirect |
| 38. C4⋊Q8×C43 | C2×C4 | semidirect |
| 50. #97×C43 | C2×C4 | semidirect |
| 149. #489 | Dic43 | semidirect |
| 163. C43 | #9439 | semidirect |
| 168. C4⋊Q8 | C2×Dic43 | semidirect |
| 188. #97 | C2×Dic43 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19137707 | 2 |
| #19133219 | 2 |
| #19133107 | 2 |
| #19132489 | 2 |
| C43×#3140 | 2 |
| #9439 | 43 |