Finite Group DatabasebetaFinite Group DatabasebetaOrder 3712.
376 conjugacy classes of subgroups; only the 135 normal subgroups are shown.
This group has 376 conjugacy classes of subgroups — too many to draw. Only its 135 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 |
|---|---|---|
| 3. #14271473 | C2 | semidirect |
| 4. #14271469 | C2 | semidirect |
| 5. #14271457 | C2 | semidirect |
| 6. #14271447 | C2 | semidirect |
| 52. C2×Dic58 | Q8 | semidirect |
| 172. C29 | #3078 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14271716 | 2 |
| C2×#11745249 | 2 |
| #14271473 | 2 |
| #14271469 | 2 |
| #14271457 | 2 |
| #14271447 | 2 |
| #14271203 | 2 |
| #14271186 | 2 |
| #14271173 | 2 |
| #14271171 | 2 |
| C29×#428 | 2 |
| #3078 | 29 |