Finite Group DatabasebetaFinite Group DatabasebetaOrder 3712.
402 conjugacy classes of subgroups; only the 161 normal subgroups are shown.
This group has 402 conjugacy classes of subgroups — too many to draw. Only its 161 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. #14271242 | C2 | semidirect |
| 3. #14271233 | C2 | semidirect |
| 4. C8×D116 | C2 | semidirect |
| 5. #14271220 | C2 | semidirect |
| 6. #14271128 | C2 | semidirect |
| 7. C29×#431 | C2 | semidirect |
| 93. #431 | D29 | semidirect |
| 120. C29 | #2981 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14271713 | 2 |
| #14271242 | 2 |
| #14271233 | 2 |
| C8×D116 | 2 |
| #14271220 | 2 |
| #14271128 | 2 |
| C29×#431 | 2 |
| #2981 | 29 |