Finite Group DatabasebetaFinite Group DatabasebetaOrder 3712.
290 conjugacy classes of subgroups; only the 71 normal subgroups are shown.
This group has 290 conjugacy classes of subgroups — too many to draw. Only its 71 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. C2×#11745185 | C2 | semidirect |
| 2. #14271164 | C2 | semidirect |
| 3. #14271028 | C2 | semidirect |
| 4. #14270932 | C2 | semidirect |
| 36. C4×Dic29 | D4 | semidirect |
| 102. C29 | #2040 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11745185 | 2 |
| #14271164 | 2 |
| #14271028 | 2 |
| #14270932 | 2 |
| C29×#537 | 2 |
| #2040 | 29 |