Finite Group DatabasebetaFinite Group DatabasebetaOrder 3712.
272 conjugacy classes of subgroups; only the 63 normal subgroups are shown.
This group has 272 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. #14271008 | C2 | semidirect |
| 4. #14270898 | C2 | semidirect |
| 5. #14270897 | C2 | semidirect |
| 6. #14270896 | C2 | semidirect |
| 7. C29×#327 | C2 | semidirect |
| 10. #11745302 | C4 | semidirect |
| 12. D4×Dic29 | C4 | semidirect |
| 16. #11745255 | C4 | semidirect |
| 17. #11745250 | C4 | semidirect |
| 119. #327 | D29 | semidirect |
| 146. C29 | #1505 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14271708 | 2 |
| #14271217 | 2 |
| #14271008 | 2 |
| #14270898 | 2 |
| #14270897 | 2 |
| #14270896 | 2 |
| C29×#327 | 2 |
| #1505 | 29 |