Finite Group DatabasebetaFinite Group DatabasebetaOrder 3712.
326 conjugacy classes of subgroups; only the 71 normal subgroups are shown.
This group has 326 conjugacy classes of subgroups — too many to draw. Only its 71 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. #14271206 | C2 | semidirect |
| 2. C2×#11745185 | C2 | semidirect |
| 3. #14271164 | C2 | semidirect |
| 4. C2×#11745181 | C2 | semidirect |
| 5. #14271066 | C2 | semidirect |
| 6. #14270922 | C2 | semidirect |
| 61. #90777 | D4 | semidirect |
| 157. C29 | #2037 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14271206 | 2 |
| C2×#11745185 | 2 |
| #14271164 | 2 |
| C2×#11745181 | 2 |
| #14271066 | 2 |
| #14270922 | 2 |
| C29×#535 | 2 |
| #2037 | 29 |