Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
386 conjugacy classes of subgroups; only the 87 normal subgroups are shown.
This group has 386 conjugacy classes of subgroups — too many to draw. Only its 87 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. #19136355 | C2 | semidirect |
| 3. #19136300 | C2 | semidirect |
| 4. #19135491 | C2 | semidirect |
| 5. C43×#1384 | C2 | semidirect |
| 110. #1384 | D43 | semidirect |
| 128. C43 | #13447 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19147731 | 2 |
| #19136355 | 2 |
| #19136300 | 2 |
| #19135491 | 2 |
| C43×#1384 | 2 |
| #13447 | 43 |