Finite Group DatabasebetaFinite Group DatabasebetaOrder 3712.
260 conjugacy classes of subgroups; only the 89 normal subgroups are shown.
This group has 260 conjugacy classes of subgroups — too many to draw. Only its 89 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. #14271201 | C2 | semidirect |
| 4. #14270919 | C2 | semidirect |
| 5. C29×#427 | C2 | semidirect |
| 15. C2×#90772 | C4 | semidirect |
| 16. C2×C8×D29 | C4 | semidirect |
| 90. #427 | D29 | semidirect |
| 114. C29 | #1812 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11745263 | 2 |
| #14271201 | 2 |
| #14271136 | 2 |
| #14270919 | 2 |
| C29×#427 | 2 |
| #1812 | 29 |