Finite Group DatabasebetaFinite Group DatabasebetaOrder 3712.
172 conjugacy classes of subgroups; only the 85 normal subgroups are shown.
This group has 172 conjugacy classes of subgroups — too many to draw. Only its 85 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. C4⋊#90768 | C2 | semidirect |
| 4. #14270981 | C2 | semidirect |
| 5. C29×C4⋊C16 | C2 | semidirect |
| 54. C4×C29 | M32 | semidirect |
| 59. Dic29 | M32 | semidirect |
| 64. C4⋊C16 | D29 | semidirect |
| 79. C29 | #2150 | semidirect |
| 120. C4 | #11745146 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11745146 | 2 |
| C4×C8×D29 | 2 |
| C4⋊#90768 | 2 |
| #14270981 | 2 |
| C29×C4⋊C16 | 2 |
| #2150 | 29 |