Finite Group DatabasebetaFinite Group DatabasebetaOrder 3712.
564 conjugacy classes of subgroups; only the 177 normal subgroups are shown.
This group has 564 conjugacy classes of subgroups — too many to draw. Only its 177 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. #14271070 | C2 | semidirect |
| 3. #14271059 | C2 | semidirect |
| 4. #14271044 | C2 | semidirect |
| 40. C22×Dic29 | Q8 | semidirect |
| 129. C29 | #2855 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22×C4×Dic29 | 2 |
| #14271070 | 2 |
| #14271059 | 2 |
| #14271044 | 2 |
| #14271035 | 2 |
| #14271024 | 2 |
| #14271023 | 2 |
| C2×C29×C22⋊Q8 | 2 |
| #2855 | 29 |