Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
392 conjugacy classes of subgroups; only the 87 normal subgroups are shown.
This group has 392 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. #19136350 | C2 | semidirect |
| 3. #19136345 | C2 | semidirect |
| 4. #19135484 | C2 | semidirect |
| 5. #19135481 | C2 | semidirect |
| 6. #19132698 | C2 | semidirect |
| 7. C43×#2148 | C2 | semidirect |
| 179. #2148 | D43 | semidirect |
| 210. C43 | #13444 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19147729 | 2 |
| #19136350 | 2 |
| #19136345 | 2 |
| #19135484 | 2 |
| #19135481 | 2 |
| #19132698 | 2 |
| C43×#2148 | 2 |
| #13444 | 43 |