Finite Group DatabasebetaFinite Group DatabasebetaOrder 3712.
362 conjugacy classes of subgroups; only the 141 normal subgroups are shown.
This group has 362 conjugacy classes of subgroups — too many to draw. Only its 141 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. #14271467 | C2 | semidirect |
| 3. #14271467 | C2 | semidirect |
| 4. #14271455 | C2 | semidirect |
| 5. #14271445 | C2 | semidirect |
| 47. C2×Dic58 | Q8 | semidirect |
| 157. C29 | #3082 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14271640 | 2 |
| #14271467 | 2 |
| #14271455 | 2 |
| #14271445 | 2 |
| #14271203 | 2 |
| #14271199 | 2 |
| #14271190 | 2 |
| #14271171 | 2 |
| C2×#11745158 | 2 |
| C29×#544 | 2 |
| #3082 | 29 |