Finite Group DatabasebetaFinite Group DatabasebetaOrder 3712.
440 conjugacy classes of subgroups; only the 81 normal subgroups are shown.
This group has 440 conjugacy classes of subgroups — too many to draw. Only its 81 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. #14271127 | C2 | semidirect |
| 3. #14270886 | C2 | semidirect |
| 4. C29×#407 | C2 | semidirect |
| 17. C29×C22⋊C8 | C22 | semidirect |
| 19. C22⋊#6597 | C22 | semidirect |
| 63. C22×D29 | M16 | semidirect |
| 106. #407 | D29 | semidirect |
| 129. C22⋊C8 | C2×D29 | semidirect |
| 130. C29 | #1462 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22×#90781 | 2 |
| #14271127 | 2 |
| #14270886 | 2 |
| C29×#407 | 2 |
| #1462 | 29 |