Finite Group DatabasebetaFinite Group DatabasebetaOrder 3712.
272 conjugacy classes of subgroups; only the 73 normal subgroups are shown.
This group has 272 conjugacy classes of subgroups — too many to draw. Only its 73 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. #14270935 | C2 | semidirect |
| 5. #14270934 | C2 | semidirect |
| 6. #14270933 | C2 | semidirect |
| 7. C29×#344 | C2 | semidirect |
| 91. #344 | D29 | semidirect |
| 109. C29 | #1829 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14271637 | 2 |
| C2×#11745171 | 2 |
| #14270935 | 2 |
| #14270934 | 2 |
| #14270933 | 2 |
| C29×#344 | 2 |
| #1829 | 29 |