Finite Group DatabasebetaFinite Group DatabasebetaOrder 3712.
238 conjugacy classes of subgroups; only the 73 normal subgroups are shown.
This group has 238 conjugacy classes of subgroups — too many to draw. Only its 73 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. #14271009 | C2 | semidirect |
| 3. #14270901 | C2 | semidirect |
| 5. C29×#431 | C2 | semidirect |
| 13. #11745237 | C4 | semidirect |
| 14. C4×D116 | C4 | semidirect |
| 16. #11745232 | C4 | semidirect |
| 17. C4×Dic58 | C4 | semidirect |
| 90. #431 | D29 | semidirect |
| 116. C29 | #1500 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14271697 | 2 |
| #14271009 | 2 |
| #14270901 | 2 |
| #14270898 | 2 |
| C29×#431 | 2 |
| #1500 | 29 |