Finite Group DatabasebetaFinite Group DatabasebetaOrder 3712.
376 conjugacy classes of subgroups; only the 131 normal subgroups are shown.
This group has 376 conjugacy classes of subgroups — too many to draw. Only its 131 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. #14271473 | C2 | semidirect |
| 4. #14271472 | C2 | semidirect |
| 5. #14271459 | C2 | semidirect |
| 6. #14271458 | C2 | semidirect |
| 7. #14271445 | C2 | semidirect |
| 11. C29×#475 | C2 | semidirect |
| 46. Q8×D29 | Q8 | semidirect |
| 134. #475 | D29 | semidirect |
| 173. C29 | #3078 | 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 |
| #14271473 | 2 |
| #14271472 | 2 |
| #14271459 | 2 |
| #14271458 | 2 |
| #14271445 | 2 |
| #14271202 | 2 |
| #14271185 | 2 |
| #14271170 | 2 |
| C29×#475 | 2 |
| #3078 | 29 |