Finite Group DatabasebetaFinite Group DatabasebetaOrder 3712.
312 conjugacy classes of subgroups; only the 68 normal subgroups are shown.
This group has 312 conjugacy classes of subgroups — too many to draw. Only its 68 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 |
|---|---|---|
| 3. C2×#11745225 | C2 | semidirect |
| 4. D29⋊#101 | C2 | semidirect |
| 5. #14272042 | C2 | semidirect |
| 6. #14272038 | C2 | semidirect |
| 19. C29×#137 | C4 | semidirect |
| 20. #11745313 | C4 | semidirect |
| 21. #11745304 | C4 | semidirect |
| 26. #11745271 | C4 | semidirect |
| 162. #137 | #1181 | semidirect |
| 180. C29 | #1908 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| D29⋊#131 | 2 |
| #14272154 | 2 |
| C2×#11745225 | 2 |
| D29⋊#101 | 2 |
| #14272042 | 2 |
| #14272038 | 2 |
| #137×D29 | 2 |
| #1908 | 29 |