Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
926 conjugacy classes of subgroups; only the 171 normal subgroups are shown.
This group has 926 conjugacy classes of subgroups — too many to draw. Only its 171 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. #19145793 | C2 | semidirect |
| 3. #19133906 | C2 | semidirect |
| 4. #19133893 | C2 | semidirect |
| 5. #19133230 | C2 | semidirect |
| 6. #19133210 | C2 | semidirect |
| 7. C43×#3550 | C2 | semidirect |
| 171. #3550 | D43 | semidirect |
| 207. C43 | #19054 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19145793 | 2 |
| #19145040 | 2 |
| #19133906 | 2 |
| #19133893 | 2 |
| #19133230 | 2 |
| #19133210 | 2 |
| C43×#3550 | 2 |
| #19054 | 43 |