Finite Group DatabasebetaFinite Group DatabasebetaOrder 3712.
216 conjugacy classes of subgroups; only the 53 normal subgroups are shown.
This group has 216 conjugacy classes of subgroups — too many to draw. Only its 53 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×Dic232 | C2 | semidirect |
| 3. C2×#11745177 | C2 | semidirect |
| 5. #14270966 | C2 | semidirect |
| 7. C29×#358 | C2 | semidirect |
| 71. C2×D29 | Q32 | semidirect |
| 84. #358 | D29 | semidirect |
| 105. C29 | #2188 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×Q16×D29 | 2 |
| C2×Dic232 | 2 |
| C2×#11745177 | 2 |
| #14271405 | 2 |
| #14270966 | 2 |
| #14270942 | 2 |
| C29×#358 | 2 |
| #2188 | 29 |