Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
338 conjugacy classes of subgroups; only the 89 normal subgroups are shown.
This group has 338 conjugacy classes of subgroups — too many to draw. Only its 89 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 |
|---|---|---|
| 3. #19134768 | C2 | semidirect |
| 4. #19132695 | C2 | semidirect |
| 5. #19132694 | C2 | semidirect |
| 6. #19132678 | C2 | semidirect |
| 156. C43 | #13487 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#14582712 | 2 |
| #19135472 | 2 |
| #19134768 | 2 |
| #19132695 | 2 |
| #19132694 | 2 |
| #19132678 | 2 |
| C2×C43×#361 | 2 |
| #13487 | 43 |