Finite Group DatabasebetaFinite Group DatabasebetaOrder 3712.
184 conjugacy classes of subgroups; only the 109 normal subgroups are shown.
This group has 184 conjugacy classes of subgroups — too many to draw. Only its 109 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 |
|---|---|---|
| 4. #14270938 | C2 | semidirect |
| 5. C4×#90768 | C2 | semidirect |
| 6. C16×Dic29 | C2 | semidirect |
| 7. C29×#346 | C2 | semidirect |
| 19. #11745146 | C4 | semidirect |
| 20. C16×D29 | C4 | semidirect |
| 62. #346 | D29 | semidirect |
| 81. C29 | #2108 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11745146 | 2 |
| C2×C16×D29 | 2 |
| #14271117 | 2 |
| #14270938 | 2 |
| C4×#90768 | 2 |
| C16×Dic29 | 2 |
| C29×#346 | 2 |
| #2108 | 29 |