Finite Group DatabasebetaFinite Group DatabasebetaOrder 3712.
410 conjugacy classes of subgroups; only the 137 normal subgroups are shown.
This group has 410 conjugacy classes of subgroups — too many to draw. Only its 137 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. #14271504 | C2 | semidirect |
| 3. #14271498 | C2 | semidirect |
| 4. #14271493 | C2 | semidirect |
| 5. #14271206 | C2 | semidirect |
| 6. #14271171 | C2 | semidirect |
| 29. #11745158 | C22 | semidirect |
| 30. #11745158 | C22 | semidirect |
| 31. #11745156 | C22 | semidirect |
| 32. #11745155 | C22 | semidirect |
| 149. C29 | #3095 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11745286 | 2 |
| #14271504 | 2 |
| #14271498 | 2 |
| #14271493 | 2 |
| #14271206 | 2 |
| #14271171 | 2 |
| #14271127 | 2 |
| C2×C29×#117 | 2 |
| #3095 | 29 |