Finite Group DatabasebetaFinite Group DatabasebetaOrder 3712.
242 conjugacy classes of subgroups; only the 63 normal subgroups are shown.
This group has 242 conjugacy classes of subgroups — too many to draw. Only its 63 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. #14271217 | C2 | semidirect |
| 3. #14271014 | C2 | semidirect |
| 4. #14270901 | C2 | semidirect |
| 5. #14270899 | C2 | semidirect |
| 9. #11745298 | C4 | semidirect |
| 12. D4×Dic29 | C4 | semidirect |
| 17. #11745252 | C4 | semidirect |
| 18. #11745249 | C4 | semidirect |
| 136. C29 | #1509 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14271694 | 2 |
| #14271217 | 2 |
| #14271014 | 2 |
| #14270901 | 2 |
| #14270899 | 2 |
| #14270897 | 2 |
| C29×#327 | 2 |
| #1509 | 29 |