Finite Group DatabasebetaFinite Group DatabasebetaOrder 3712.
140 conjugacy classes of subgroups; only the 47 normal subgroups are shown.
This group has 140 conjugacy classes of subgroups — too many to draw. Only its 47 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. #14270989 | C2 | semidirect |
| 4. #14270988 | C2 | semidirect |
| 5. #14270967 | C2 | semidirect |
| 7. C29×#358 | C2 | semidirect |
| 68. #358 | D29 | semidirect |
| 85. C29 | #2236 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14271401 | 2 |
| #107×D29 | 2 |
| #14270989 | 2 |
| #14270988 | 2 |
| #14270967 | 2 |
| #14270942 | 2 |
| C29×#358 | 2 |
| #2236 | 29 |