Finite Group DatabasebetaFinite Group DatabasebetaOrder 3712.
336 conjugacy classes of subgroups; only the 121 normal subgroups are shown.
This group has 336 conjugacy classes of subgroups — too many to draw. Only its 121 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. #14271565 | C2 | semidirect |
| 3. #14271505 | C2 | semidirect |
| 4. #14271499 | C2 | semidirect |
| 5. #14271471 | C2 | semidirect |
| 6. #14271421 | C2 | semidirect |
| 7. C4×Dic116 | C2 | semidirect |
| 8. #14271205 | C2 | semidirect |
| 131. C29 | #3352 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14271853 | 2 |
| #14271565 | 2 |
| #14271505 | 2 |
| #14271499 | 2 |
| #14271471 | 2 |
| #14271421 | 2 |
| C4×Dic116 | 2 |
| #14271205 | 2 |
| C29×#436 | 2 |
| #3352 | 29 |