Finite Group DatabasebetaFinite Group DatabasebetaOrder 3712.
216 conjugacy classes of subgroups; only the 73 normal subgroups are shown.
This group has 216 conjugacy classes of subgroups — too many to draw. Only its 73 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. #14271216 | C2 | semidirect |
| 3. #14270893 | C2 | semidirect |
| 4. #14270890 | C2 | semidirect |
| 5. C29×#423 | C2 | semidirect |
| 91. #423 | D29 | semidirect |
| 116. C29 | #1495 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14271697 | 2 |
| #14271216 | 2 |
| #14270893 | 2 |
| #14270890 | 2 |
| C29×#423 | 2 |
| #1495 | 29 |