Finite Group DatabasebetaFinite Group DatabasebetaOrder 3712.
150 conjugacy classes of subgroups; only the 47 normal subgroups are shown.
This group has 150 conjugacy classes of subgroups — too many to draw. Only its 47 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. #107×D29 | C2 | semidirect |
| 3. #14270988 | C2 | semidirect |
| 4. #14270965 | C2 | semidirect |
| 5. #14270963 | C2 | semidirect |
| 6. #14270942 | C2 | semidirect |
| 7. C29×#366 | C2 | semidirect |
| 69. #366 | D29 | semidirect |
| 89. C29 | #2232 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14271400 | 2 |
| #107×D29 | 2 |
| #14270988 | 2 |
| #14270965 | 2 |
| #14270963 | 2 |
| #14270942 | 2 |
| C29×#366 | 2 |
| #2232 | 29 |