Finite Group DatabasebetaFinite Group DatabasebetaOrder 3712.
146 conjugacy classes of subgroups; only the 57 normal subgroups are shown.
This group has 146 conjugacy classes of subgroups — too many to draw. Only its 57 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. #14271281 | C2 | semidirect |
| 3. #14270993 | C2 | semidirect |
| 4. #14270971 | C2 | semidirect |
| 5. C4×C16×C29 | C2 | semidirect |
| 13. Dic232 | C4 | semidirect |
| 14. #11745148 | C4 | semidirect |
| 15. D464 | C4 | semidirect |
| 51. C4×C16 | D29 | semidirect |
| 65. C29 | #2178 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14271595 | 2 |
| #14271281 | 2 |
| #14270993 | 2 |
| #14270971 | 2 |
| C4×C16×C29 | 2 |
| #2178 | 29 |