Finite Group DatabasebetaFinite Group DatabasebetaOrder 3712.
144 conjugacy classes of subgroups; only the 65 normal subgroups are shown.
This group has 144 conjugacy classes of subgroups — too many to draw. Only its 65 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 |
|---|---|---|
| 1. #14271579 | C2 | semidirect |
| 3. #14270983 | C2 | semidirect |
| 4. #14270948 | C2 | semidirect |
| 5. #14270947 | C2 | semidirect |
| 6. #14270938 | C2 | semidirect |
| 7. C29×#504 | C2 | semidirect |
| 69. #504 | D29 | semidirect |
| 94. C29 | #2171 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14271579 | 2 |
| #14271278 | 2 |
| #14270983 | 2 |
| #14270948 | 2 |
| #14270947 | 2 |
| #14270938 | 2 |
| C29×#504 | 2 |
| #2171 | 29 |