Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
388 conjugacy classes of subgroups; only the 103 normal subgroups are shown.
This group has 388 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 |
|---|---|---|
| 4. #19135346 | C2 | semidirect |
| 5. #19132709 | C2 | semidirect |
| 6. #19132678 | C2 | semidirect |
| 7. C43×#2161 | C2 | semidirect |
| 17. #14582710 | C4 | semidirect |
| 140. #2161 | D43 | semidirect |
| 167. C43 | #12944 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#14583020 | 2 |
| #19136332 | 2 |
| #19136322 | 2 |
| #19135346 | 2 |
| #19132709 | 2 |
| #19132678 | 2 |
| C43×#2161 | 2 |
| #12944 | 43 |