Finite Group DatabasebetaFinite Group DatabasebetaOrder 3712.
208 conjugacy classes of subgroups; only the 94 normal subgroups are shown.
This group has 208 conjugacy classes of subgroups — too many to draw. Only its 94 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. #6599⋊C8 | C2 | semidirect |
| 4. #14272004 | C2 | semidirect |
| 49. C8×C29 | M16 | semidirect |
| 51. #6597 | M16 | semidirect |
| 86. C29 | #1451 | semidirect |
| 119. C8 | #90796 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14272182 | 2 |
| C4×#90796 | 2 |
| #6599⋊C8 | 2 |
| #14272004 | 2 |
| C4×C8×D29 | 2 |
| #1451 | 29 |