Finite Group DatabasebetaFinite Group DatabasebetaOrder 3712.
414 conjugacy classes of subgroups; only the 133 normal subgroups are shown.
This group has 414 conjugacy classes of subgroups — too many to draw. Only its 133 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. C2×#11745288 | C2 | semidirect |
| 2. #14271501 | C2 | semidirect |
| 3. #14271484 | C2 | semidirect |
| 4. #14271206 | C2 | semidirect |
| 5. #14271164 | C2 | semidirect |
| 6. #14271127 | C2 | semidirect |
| 22. #11745183 | C22 | semidirect |
| 23. #11745180 | C22 | semidirect |
| 25. #11745156 | C22 | semidirect |
| 26. #11745155 | C22 | semidirect |
| 121. C29 | #3093 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11745288 | 2 |
| #14271501 | 2 |
| #14271484 | 2 |
| #14271206 | 2 |
| #14271164 | 2 |
| #14271127 | 2 |
| C29×#525 | 2 |
| #3093 | 29 |