Finite Group DatabasebetaFinite Group DatabasebetaOrder 3712.
270 conjugacy classes of subgroups; only the 65 normal subgroups are shown.
This group has 270 conjugacy classes of subgroups — too many to draw. Only its 65 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. #14271137 | C2 | semidirect |
| 3. #14270955 | C2 | semidirect |
| 4. C29×#410 | C2 | semidirect |
| 6. C22×D116 | C4 | semidirect |
| 8. #11745309 | C4 | semidirect |
| 15. #11745288 | C4 | semidirect |
| 17. C29×#99 | C22 | semidirect |
| 19. #11745182 | C22 | semidirect |
| 97. #410 | D29 | semidirect |
| 119. #99 | C2×D29 | semidirect |
| 120. C29 | #2128 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14271727 | 2 |
| #14271137 | 2 |
| #14270955 | 2 |
| C29×#410 | 2 |
| #2128 | 29 |