Finite Group DatabasebetaFinite Group DatabasebetaOrder 3712.
238 conjugacy classes of subgroups; only the 69 normal subgroups are shown.
This group has 238 conjugacy classes of subgroups — too many to draw. Only its 69 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. #14271220 | C2 | semidirect |
| 3. #14270902 | C2 | semidirect |
| 4. C29×#432 | C2 | semidirect |
| 77. #432 | D29 | semidirect |
| 99. C29 | #1536 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14271713 | 2 |
| #14271220 | 2 |
| #14270902 | 2 |
| C29×#432 | 2 |
| #1536 | 29 |