Finite Group DatabasebetaFinite Group DatabasebetaOrder 3712.
386 conjugacy classes of subgroups; only the 125 normal subgroups are shown.
This group has 386 conjugacy classes of subgroups — too many to draw. Only its 125 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. #14271458 | C2 | semidirect |
| 3. #14271440 | C2 | semidirect |
| 4. #14271411 | C2 | semidirect |
| 5. #14271365 | C2 | semidirect |
| 6. #14271363 | C2 | semidirect |
| 7. #14271187 | C2 | semidirect |
| 8. C29×#533 | C2 | semidirect |
| 108. #533 | D29 | semidirect |
| 145. C29 | #3254 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14271713 | 2 |
| #14271458 | 2 |
| #14271440 | 2 |
| #14271411 | 2 |
| #14271365 | 2 |
| #14271363 | 2 |
| #14271187 | 2 |
| C29×#533 | 2 |
| #3254 | 29 |