Finite Group DatabasebetaFinite Group DatabasebetaOrder 3712.
184 conjugacy classes of subgroups; only the 81 normal subgroups are shown.
This group has 184 conjugacy classes of subgroups — too many to draw. Only its 81 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. #14270916 | C2 | semidirect |
| 4. #14270915 | C2 | semidirect |
| 5. C29×#335 | C2 | semidirect |
| 47. C8×C29 | M16 | semidirect |
| 50. #6597 | M16 | semidirect |
| 68. #335 | D29 | semidirect |
| 84. C29 | #1567 | semidirect |
| 118. C8 | #90772 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14271185 | 2 |
| C4×C8×D29 | 2 |
| #14270916 | 2 |
| #14270915 | 2 |
| C29×#335 | 2 |
| #1567 | 29 |