Finite Group DatabasebetaFinite Group DatabasebetaOrder 3712.
336 conjugacy classes of subgroups; only the 101 normal subgroups are shown.
This group has 336 conjugacy classes of subgroups — too many to draw. Only its 101 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 |
|---|---|---|
| 3. #14270899 | C2 | direct (N × H) |
| 7. C22×Dic58 | C4 | semidirect |
| 9. C2×C4⋊Dic29 | C4 | semidirect |
| 12. #11745286 | C4 | semidirect |
| 36. C2×Dic58 | C2×C4 | semidirect |
| 40. C4⋊Dic29 | C2×C4 | semidirect |
| 101. C2×C29 | #328 | semidirect |
| 120. C29 | C2×#328 | semidirect |
| 197. C2 | #14270899 | direct (N × H) |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11745286 | 2 |
| C2×C22⋊#6597 | 2 |
| #14270899 | 2 |
| C2×C29×#95 | 2 |
| C2×#328 | 29 |