Finite Group DatabasebetaFinite Group DatabasebetaOrder 3712.
160 conjugacy classes of subgroups; only the 61 normal subgroups are shown.
This group has 160 conjugacy classes of subgroups — too many to draw. Only its 61 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. #14270963 | C2 | semidirect |
| 3. C4×#90768 | C2 | semidirect |
| 4. C29×#500 | C2 | semidirect |
| 47. #500 | D29 | semidirect |
| 63. C29 | #2240 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14271540 | 2 |
| #14270963 | 2 |
| C4×#90768 | 2 |
| C29×#500 | 2 |
| #2240 | 29 |