Finite Group DatabasebetaFinite Group DatabasebetaOrder 3712.
134 conjugacy classes of subgroups; only the 41 normal subgroups are shown.
This group has 134 conjugacy classes of subgroups — too many to draw. Only its 41 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. #14271210 | C2 | semidirect |
| 3. #14270987 | C2 | semidirect |
| 4. #14270986 | C2 | semidirect |
| 5. #14270976 | C2 | semidirect |
| 6. #14270944 | C2 | semidirect |
| 7. C29×#361 | C2 | semidirect |
| 67. #361 | D29 | semidirect |
| 84. C29 | #2238 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14271413 | 2 |
| #14271210 | 2 |
| #14270987 | 2 |
| #14270986 | 2 |
| #14270976 | 2 |
| #14270944 | 2 |
| C29×#361 | 2 |
| #2238 | 29 |