Finite Group DatabasebetaFinite Group DatabasebetaOrder 3712.
264 conjugacy classes of subgroups; only the 61 normal subgroups are shown.
This group has 264 conjugacy classes of subgroups — too many to draw. Only its 61 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. #14271218 | C2 | semidirect |
| 3. #14271115 | C2 | semidirect |
| 4. #14270903 | C2 | semidirect |
| 5. #14270902 | C2 | semidirect |
| 6. #14270902 | C2 | semidirect |
| 7. C29×#329 | C2 | semidirect |
| 20. C29×#97 | C22 | semidirect |
| 21. C29×#97 | C22 | semidirect |
| 25. #11745151 | C22 | semidirect |
| 26. #11745151 | C22 | semidirect |
| 111. #329 | D29 | semidirect |
| 134. #97 | C2×D29 | semidirect |
| 135. #97 | C2×D29 | semidirect |
| 137. C29 | #1527 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #124×D29 | 2 |
| #14271218 | 2 |
| #14271115 | 2 |
| #14270903 | 2 |
| #14270902 | 2 |
| C29×#329 | 2 |
| #1527 | 29 |