Finite Group DatabasebetaFinite Group DatabasebetaOrder 3712.
280 conjugacy classes of subgroups; only the 63 normal subgroups are shown.
This group has 280 conjugacy classes of subgroups — too many to draw. Only its 63 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. #14271125 | C2 | semidirect |
| 3. C22⋊C8×D29 | C2 | semidirect |
| 4. #14270888 | C2 | semidirect |
| 5. #14270888 | C2 | semidirect |
| 6. #14270887 | C2 | semidirect |
| 7. C29×#323 | C2 | semidirect |
| 125. #323 | D29 | semidirect |
| 153. C29 | #1468 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11745245 | 2 |
| #14271125 | 2 |
| C22⋊C8×D29 | 2 |
| #14270888 | 2 |
| #14270887 | 2 |
| C29×#323 | 2 |
| #1468 | 29 |