Finite Group DatabasebetaFinite Group DatabasebetaOrder 3712.
212 conjugacy classes of subgroups; only the 61 normal subgroups are shown.
This group has 212 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 |
|---|---|---|
| 4. #14270905 | C2 | semidirect |
| 5. #14270904 | C2 | semidirect |
| 6. #14270904 | C2 | semidirect |
| 7. C29×#330 | C2 | semidirect |
| 96. #330 | D29 | semidirect |
| 120. C29 | #1528 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #125×D29 | 2 |
| #14271218 | 2 |
| #14271115 | 2 |
| #14270905 | 2 |
| #14270904 | 2 |
| C29×#330 | 2 |
| #1528 | 29 |