Finite Group DatabasebetaFinite Group DatabasebetaOrder 3712.
146 conjugacy classes of subgroups; only the 53 normal subgroups are shown.
This group has 146 conjugacy classes of subgroups — too many to draw. Only its 53 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. #14271279 | C2 | semidirect |
| 3. #14270969 | C2 | semidirect |
| 4. C16×Dic29 | C2 | semidirect |
| 5. C29×#368 | C2 | semidirect |
| 13. Dic232 | C4 | semidirect |
| 14. #11745148 | C4 | semidirect |
| 15. D464 | C4 | semidirect |
| 49. #368 | D29 | semidirect |
| 65. C29 | #2178 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14271595 | 2 |
| #14271279 | 2 |
| #14270969 | 2 |
| C16×Dic29 | 2 |
| C29×#368 | 2 |
| #2178 | 29 |