Finite Group DatabasebetaFinite Group DatabasebetaOrder 3712.
322 conjugacy classes of subgroups; only the 117 normal subgroups are shown.
This group has 322 conjugacy classes of subgroups — too many to draw. Only its 117 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. #14271470 | C2 | semidirect |
| 3. #14271467 | C2 | semidirect |
| 6. #14271373 | C2 | semidirect |
| 7. #14271370 | C2 | semidirect |
| 129. C29 | #3261 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14271775 | 2 |
| #14271470 | 2 |
| #14271467 | 2 |
| #14271419 | 2 |
| #14271402 | 2 |
| #14271373 | 2 |
| #14271370 | 2 |
| #14271190 | 2 |
| C29×#541 | 2 |
| #3261 | 29 |