Finite Group DatabasebetaFinite Group DatabasebetaOrder 3712.
208 conjugacy classes of subgroups; only the 57 normal subgroups are shown.
This group has 208 conjugacy classes of subgroups — too many to draw. Only its 57 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. #14271537 | C2 | semidirect |
| 3. #14271515 | C2 | semidirect |
| 4. #14271510 | C2 | semidirect |
| 5. #14271509 | C2 | semidirect |
| 6. #14270884 | C2 | semidirect |
| 7. C29×#486 | C2 | semidirect |
| 75. #486 | D29 | semidirect |
| 95. C29 | #1717 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14271539 | 2 |
| #14271537 | 2 |
| #14271515 | 2 |
| #14271510 | 2 |
| #14271509 | 2 |
| #14270884 | 2 |
| C29×#486 | 2 |
| #1717 | 29 |