Finite Group DatabasebetaFinite Group DatabasebetaOrder 3712.
356 conjugacy classes of subgroups; only the 113 normal subgroups are shown.
This group has 356 conjugacy classes of subgroups — too many to draw. Only its 113 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 |
|---|---|---|
| 1. #14271882 | C2 | semidirect |
| 2. #14271554 | C2 | semidirect |
| 3. #14271382 | C2 | semidirect |
| 5. #14271371 | C2 | semidirect |
| 6. #14271293 | C2 | semidirect |
| 7. #14271264 | C2 | semidirect |
| 8. C4×Dic116 | C2 | semidirect |
| 137. C29 | #3402 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14271882 | 2 |
| #14271554 | 2 |
| #14271382 | 2 |
| #14271376 | 2 |
| #14271371 | 2 |
| #14271293 | 2 |
| #14271264 | 2 |
| C4×Dic116 | 2 |
| C29×#495 | 2 |
| #3402 | 29 |