Finite Group DatabasebetaFinite Group DatabasebetaOrder 3712.
380 conjugacy classes of subgroups; only the 129 normal subgroups are shown.
This group has 380 conjugacy classes of subgroups — too many to draw. Only its 129 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. #14271530 | C2 | semidirect |
| 4. #14271512 | C2 | semidirect |
| 131. C29 | #3139 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14271716 | 2 |
| C2×#11745306 | 2 |
| #14271530 | 2 |
| #14271512 | 2 |
| #14271173 | 2 |
| #14271172 | 2 |
| #14271171 | 2 |
| M16×Dic29 | 2 |
| C29×#419 | 2 |
| #3139 | 29 |