Finite Group DatabasebetaFinite Group DatabasebetaOrder 3712.
340 conjugacy classes of subgroups; only the 85 normal subgroups are shown.
This group has 340 conjugacy classes of subgroups — too many to draw. Only its 85 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 |
|---|---|---|
| 1. #14271930 | C2 | semidirect |
| 3. C2×#11745171 | C2 | semidirect |
| 4. #14270934 | C2 | semidirect |
| 5. C29×#413 | C2 | semidirect |
| 42. #90777 | D4 | semidirect |
| 83. #413 | D29 | semidirect |
| 105. C29 | #1914 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14271930 | 2 |
| #14271727 | 2 |
| C2×#11745171 | 2 |
| #14270934 | 2 |
| C29×#413 | 2 |
| #1914 | 29 |