Finite Group DatabasebetaFinite Group DatabasebetaOrder 3712.
282 conjugacy classes of subgroups; only the 71 normal subgroups are shown.
This group has 282 conjugacy classes of subgroups — too many to draw. Only its 71 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 |
|---|---|---|
| 3. #14270932 | C2 | semidirect |
| 4. #14270922 | C2 | semidirect |
| 5. C29×#544 | C2 | semidirect |
| 25. C2×D116 | Q8 | semidirect |
| 76. #544 | D29 | semidirect |
| 98. C29 | #2027 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14271167 | 2 |
| #14271064 | 2 |
| #14270932 | 2 |
| #14270922 | 2 |
| C29×#544 | 2 |
| #2027 | 29 |