Finite Group DatabasebetaFinite Group DatabasebetaOrder 3712.
394 conjugacy classes of subgroups; only the 157 normal subgroups are shown.
This group has 394 conjugacy classes of subgroups — too many to draw. Only its 157 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. #14271236 | C2 | semidirect |
| 3. #14271233 | C2 | semidirect |
| 4. #14271220 | C2 | semidirect |
| 5. #14271128 | C2 | semidirect |
| 6. C29×#432 | C2 | semidirect |
| 88. #432 | D29 | semidirect |
| 113. C29 | #2980 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14271713 | 2 |
| #14271236 | 2 |
| #14271233 | 2 |
| #14271220 | 2 |
| #14271128 | 2 |
| C29×#432 | 2 |
| #2980 | 29 |