Finite Group DatabasebetaFinite Group DatabasebetaOrder 3712.
290 conjugacy classes of subgroups; only the 67 normal subgroups are shown.
This group has 290 conjugacy classes of subgroups — too many to draw. Only its 67 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. C2×#11745185 | C2 | semidirect |
| 3. C2×#11745173 | C2 | semidirect |
| 4. #14271162 | C2 | semidirect |
| 5. #14271028 | C2 | semidirect |
| 6. #14270931 | C2 | semidirect |
| 7. C29×#417 | C2 | semidirect |
| 59. C4×Dic29 | D4 | semidirect |
| 125. #417 | D29 | semidirect |
| 154. C29 | #2040 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14271741 | 2 |
| C2×#11745185 | 2 |
| C2×#11745173 | 2 |
| #14271162 | 2 |
| #14271028 | 2 |
| #14270931 | 2 |
| C29×#417 | 2 |
| #2040 | 29 |