Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
404 conjugacy classes of subgroups; only the 111 normal subgroups are shown.
This group has 404 conjugacy classes of subgroups — too many to draw. Only its 111 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. #19133354 | C2 | semidirect |
| 4. C43⋊#1309 | C2 | semidirect |
| 5. C43×#1567 | C2 | semidirect |
| 136. #1567 | D43 | semidirect |
| 161. C43 | #8638 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19143308 | 2 |
| #19133354 | 2 |
| #19133328 | 2 |
| C43⋊#1309 | 2 |
| C43×#1567 | 2 |
| #8638 | 43 |