Finite Group DatabasebetaFinite Group DatabasebetaOrder 3712.
376 conjugacy classes of subgroups; only the 133 normal subgroups are shown.
This group has 376 conjugacy classes of subgroups — too many to draw. Only its 133 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 |
|---|---|---|
| 1. #14271794 | C2 | semidirect |
| 3. #14271473 | C2 | semidirect |
| 4. #14271462 | C2 | semidirect |
| 5. #14271452 | C2 | semidirect |
| 6. #14271447 | C2 | semidirect |
| 7. #14271203 | C2 | semidirect |
| 8. #14271189 | C2 | semidirect |
| 11. C2×C29×#106 | C2 | semidirect |
| 46. #90805 | Q8 | semidirect |
| 126. C2×#106 | D29 | semidirect |
| 164. C29 | #3084 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14271794 | 2 |
| #14271644 | 2 |
| #14271473 | 2 |
| #14271462 | 2 |
| #14271452 | 2 |
| #14271447 | 2 |
| #14271203 | 2 |
| #14271189 | 2 |
| #14271162 | 2 |
| #14271160 | 2 |
| C2×C29×#106 | 2 |
| #3084 | 29 |