Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
888 conjugacy classes of subgroups; only the 139 normal subgroups are shown.
This group has 888 conjugacy classes of subgroups — too many to draw. Only its 139 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 |
|---|---|---|
| 1. #19135424 | C2 | semidirect |
| 2. #19133330 | C2 | semidirect |
| 4. #14582923 | C22 | semidirect |
| 6. C42×Dic43 | C22 | semidirect |
| 9. C43×H(3,𝔽4) | C4 | semidirect |
| 90. H(3,𝔽4) | Dic43 | semidirect |
| 100. C43 | #8530 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19135424 | 2 |
| #19133330 | 2 |
| C43×#3549 | 2 |
| #8530 | 43 |