Finite Group DatabasebetaFinite Group DatabasebetaOrder 3712.
348 conjugacy classes of subgroups; only the 71 normal subgroups are shown.
This group has 348 conjugacy classes of subgroups — too many to draw. Only its 71 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×#11745304 | C2 | semidirect |
| 3. #14271180 | C2 | semidirect |
| 4. #14271172 | C2 | semidirect |
| 5. #14271136 | C2 | semidirect |
| 6. #14270933 | C2 | semidirect |
| 7. C29×#536 | C2 | semidirect |
| 133. #536 | D29 | semidirect |
| 167. C29 | #2009 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14271961 | 2 |
| C2×#11745304 | 2 |
| #14271180 | 2 |
| #14271172 | 2 |
| #14271136 | 2 |
| #14270933 | 2 |
| C29×#536 | 2 |
| #2009 | 29 |