Finite Group DatabasebetaFinite Group DatabasebetaOrder 3712.
280 conjugacy classes of subgroups; only the 51 normal subgroups are shown.
This group has 280 conjugacy classes of subgroups — too many to draw. Only its 51 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. #14271476 | C2 | semidirect |
| 3. #14271089 | C2 | semidirect |
| 4. #14270898 | C2 | semidirect |
| 5. #14270897 | C2 | semidirect |
| 6. #14270886 | C2 | semidirect |
| 7. C29×#480 | C2 | semidirect |
| 10. C2×C4⋊C4×C29 | C22 | semidirect |
| 21. C29×C22⋊C8 | C22 | semidirect |
| 23. #11745179 | C22 | semidirect |
| 24. C22⋊#6597 | C22 | semidirect |
| 120. #480 | D29 | semidirect |
| 141. C2×C4⋊C4 | C2×D29 | semidirect |
| 149. C22⋊C8 | C2×D29 | semidirect |
| 152. C29 | #1607 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14271721 | 2 |
| #14271476 | 2 |
| #14271089 | 2 |
| #14270898 | 2 |
| #14270897 | 2 |
| #14270886 | 2 |
| C29×#480 | 2 |
| #1607 | 29 |