Finite Group DatabasebetaFinite Group DatabasebetaOrder 3712.
290 conjugacy classes of subgroups; only the 69 normal subgroups are shown.
This group has 290 conjugacy classes of subgroups — too many to draw. Only its 69 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. C2×#11745153 | C2 | semidirect |
| 3. #14271162 | C2 | semidirect |
| 4. #14270932 | C2 | semidirect |
| 5. C29×#382 | C2 | semidirect |
| 34. C42×C29 | D4 | semidirect |
| 82. #382 | D29 | semidirect |
| 102. C29 | #2040 | semidirect |
| 124. C42 | D116 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14271744 | 2 |
| C2×#11745153 | 2 |
| #14271162 | 2 |
| #14270932 | 2 |
| C29×#382 | 2 |
| #2040 | 29 |