Finite Group DatabasebetaFinite Group DatabasebetaOrder 3712.
310 conjugacy classes of subgroups; only the 51 normal subgroups are shown.
This group has 310 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 |
|---|---|---|
| 1. #14271740 | C2 | semidirect |
| 2. #14271299 | C2 | semidirect |
| 3. #14271296 | C2 | semidirect |
| 4. #14271081 | C2 | semidirect |
| 5. #14270896 | C2 | semidirect |
| 6. #14270888 | C2 | semidirect |
| 7. C29×#327 | C2 | semidirect |
| 91. C2×Dic29 | D8 | semidirect |
| 132. #327 | D29 | semidirect |
| 161. C29 | #1598 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14271740 | 2 |
| #14271299 | 2 |
| #14271296 | 2 |
| #14271081 | 2 |
| #14270896 | 2 |
| #14270888 | 2 |
| C29×#327 | 2 |
| #1598 | 29 |