Finite Group DatabasebetaFinite Group DatabasebetaOrder 3712.
124 conjugacy classes of subgroups; only the 41 normal subgroups are shown.
This group has 124 conjugacy classes of subgroups — too many to draw. Only its 41 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. #14270987 | C2 | semidirect |
| 4. #14270986 | C2 | semidirect |
| 5. #14270979 | C2 | semidirect |
| 7. C29×#362 | C2 | semidirect |
| 64. #362 | D29 | semidirect |
| 80. C29 | #2239 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14271418 | 2 |
| #14271210 | 2 |
| #14270987 | 2 |
| #14270986 | 2 |
| #14270979 | 2 |
| #14270944 | 2 |
| C29×#362 | 2 |
| #2239 | 29 |