Finite Group DatabasebetaFinite Group DatabasebetaOrder 3712.
380 conjugacy classes of subgroups; only the 121 normal subgroups are shown.
This group has 380 conjugacy classes of subgroups — too many to draw. Only its 121 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 |
|---|---|---|
| 4. #14271449 | C2 | semidirect |
| 5. #14271448 | C2 | semidirect |
| 6. #14271370 | C2 | semidirect |
| 8. #14271270 | C2 | semidirect |
| 9. #14271267 | C2 | semidirect |
| 11. C29×#462 | C2 | semidirect |
| 135. #462 | D29 | semidirect |
| 175. C29 | #3113 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14271718 | 2 |
| C4×Q8×D29 | 2 |
| #14271492 | 2 |
| #14271449 | 2 |
| #14271448 | 2 |
| #14271370 | 2 |
| #14271317 | 2 |
| #14271270 | 2 |
| #14271267 | 2 |
| #14271219 | 2 |
| C29×#462 | 2 |
| #3113 | 29 |