Finite Group DatabasebetaFinite Group DatabasebetaOrder 3712.
184 conjugacy classes of subgroups; only the 51 normal subgroups are shown.
This group has 184 conjugacy classes of subgroups — too many to draw. Only its 51 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. #14271364 | C2 | semidirect |
| 3. #14271360 | C2 | semidirect |
| 4. #14271290 | C2 | semidirect |
| 5. #14270913 | C2 | semidirect |
| 6. #14270906 | C2 | semidirect |
| 7. C29×#331 | C2 | semidirect |
| 66. #6597 | SD16 | semidirect |
| 88. #331 | D29 | semidirect |
| 109. C29 | #1688 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14271539 | 2 |
| #14271364 | 2 |
| #14271360 | 2 |
| #14271290 | 2 |
| #14270913 | 2 |
| #14270906 | 2 |
| C29×#331 | 2 |
| #1688 | 29 |