Finite Group DatabasebetaFinite Group DatabasebetaOrder 3712.
168 conjugacy classes of subgroups; only the 51 normal subgroups are shown.
This group has 168 conjugacy classes of subgroups — too many to draw. Only its 51 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. #14271445 | C2 | semidirect |
| 4. #14271290 | C2 | semidirect |
| 5. #14270915 | C2 | semidirect |
| 7. C29×#332 | C2 | semidirect |
| 62. #6597 | SD16 | semidirect |
| 81. #332 | D29 | semidirect |
| 102. C29 | #1686 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14271537 | 2 |
| #14271445 | 2 |
| #14271364 | 2 |
| #14271290 | 2 |
| #14270915 | 2 |
| #14270906 | 2 |
| C29×#332 | 2 |
| #1686 | 29 |