Finite Group DatabasebetaFinite Group DatabasebetaOrder 3712.
250 conjugacy classes of subgroups; only the 65 normal subgroups are shown.
This group has 250 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 |
|---|---|---|
| 2. #14271147 | C2 | semidirect |
| 3. #14270961 | C2 | semidirect |
| 4. #14270959 | C2 | semidirect |
| 5. C29×#413 | C2 | semidirect |
| 108. #413 | D29 | semidirect |
| 134. C29 | #2132 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14271709 | 2 |
| #14271147 | 2 |
| #14270961 | 2 |
| #14270959 | 2 |
| C29×#413 | 2 |
| #2132 | 29 |