Finite Group DatabasebetaFinite Group DatabasebetaOrder 3712.
908 conjugacy classes of subgroups; only the 285 normal subgroups are shown.
This group has 908 conjugacy classes of subgroups — too many to draw. Only its 285 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. #14271082 | C2 | direct (N × H) |
| 22. C22×Dic29 | Q8 | semidirect |
| 39. C2×Dic29 | C2×Q8 | semidirect |
| 54. C2×C29 | #395 | semidirect |
| 66. C29 | C2×#395 | semidirect |
| 103. C2 | #14271082 | direct (N × H) |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22×#90779 | 2 |
| #14271082 | 2 |
| C2×#11745179 | 2 |
| C23×Q8×C29 | 2 |
| C2×#395 | 29 |