Finite Group DatabasebetaFinite Group DatabasebetaOrder 3712.
264 conjugacy classes of subgroups; only the 93 normal subgroups are shown.
This group has 264 conjugacy classes of subgroups — too many to draw. Only its 93 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. #14271216 | C2 | semidirect |
| 3. #14270888 | C2 | semidirect |
| 5. C29×#431 | C2 | semidirect |
| 33. C2×C4×D29 | C8 | semidirect |
| 99. #431 | D29 | semidirect |
| 125. C29 | #1458 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11745234 | 2 |
| #14271216 | 2 |
| #14270888 | 2 |
| #14270886 | 2 |
| C29×#431 | 2 |
| #1458 | 29 |