Finite Group DatabasebetaFinite Group DatabasebetaOrder 3712.
294 conjugacy classes of subgroups; only the 37 normal subgroups are shown.
This group has 294 conjugacy classes of subgroups — too many to draw. Only its 37 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. #14270887 | C2 | semidirect |
| 3. C29×#323 | C2 | semidirect |
| 18. C23×D29 | C8 | semidirect |
| 89. #323 | D29 | semidirect |
| 105. C29 | #1316 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14271018 | 2 |
| #14270887 | 2 |
| C29×#323 | 2 |
| #1316 | 29 |