Finite Group DatabasebetaFinite Group DatabasebetaOrder 3712.
484 conjugacy classes of subgroups; only the 181 normal subgroups are shown.
This group has 484 conjugacy classes of subgroups — too many to draw. Only its 181 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. #14271067 | C2 | semidirect |
| 5. #14271048 | C2 | semidirect |
| 6. #14271047 | C2 | semidirect |
| 8. C4×#90779 | C2 | semidirect |
| 19. #11745286 | C4 | semidirect |
| 147. C29 | #2332 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11745286 | 2 |
| #14271067 | 2 |
| #14271057 | 2 |
| #14271051 | 2 |
| #14271048 | 2 |
| #14271047 | 2 |
| #14271026 | 2 |
| C4×#90779 | 2 |
| C4×C22⋊C4×C29 | 2 |
| #2332 | 29 |