Finite Group DatabasebetaFinite Group DatabasebetaOrder 3712.
264 conjugacy classes of subgroups; only the 85 normal subgroups are shown.
This group has 264 conjugacy classes of subgroups — too many to draw. Only its 85 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. #14271029 | C2 | semidirect |
| 3. #14270898 | C2 | semidirect |
| 4. C29×#431 | C2 | semidirect |
| 11. #11745236 | C4 | semidirect |
| 13. C4×D116 | C4 | semidirect |
| 14. #11745231 | C4 | semidirect |
| 84. #431 | D29 | semidirect |
| 108. C29 | #1517 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14271713 | 2 |
| #14271029 | 2 |
| #14270898 | 2 |
| C29×#431 | 2 |
| #1517 | 29 |