Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
422 conjugacy classes of subgroups; only the 109 normal subgroups are shown.
This group has 422 conjugacy classes of subgroups — too many to draw. Only its 109 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. C2×#14582728 | C2 | semidirect |
| 3. C2×#14582716 | C2 | semidirect |
| 4. #19136194 | C2 | semidirect |
| 5. #19135508 | C2 | semidirect |
| 12. C2×#13063269 | C4 | semidirect |
| 187. C43 | #13246 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22×#13063269 | 2 |
| C2×#14582728 | 2 |
| C2×#14582716 | 2 |
| #19136194 | 2 |
| #19135508 | 2 |
| #19135506 | 2 |
| C2×C43×#361 | 2 |
| #13246 | 43 |