Finite Group DatabasebetaFinite Group DatabasebetaOrder 3712.
150 conjugacy classes of subgroups; only the 45 normal subgroups are shown.
This group has 150 conjugacy classes of subgroups — too many to draw. Only its 45 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. #14271541 | C2 | semidirect |
| 4. #14270983 | C2 | semidirect |
| 5. #14270980 | C2 | semidirect |
| 6. #14270979 | C2 | semidirect |
| 95. C29 | #2214 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14271603 | 2 |
| #14271541 | 2 |
| #14271280 | 2 |
| #14270983 | 2 |
| #14270980 | 2 |
| #14270979 | 2 |
| C29×#510 | 2 |
| #2214 | 29 |