Finite Group DatabasebetaFinite Group DatabasebetaOrder 3712.
256 conjugacy classes of subgroups; only the 117 normal subgroups are shown.
This group has 256 conjugacy classes of subgroups — too many to draw. Only its 117 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 |
|---|---|---|
| 19. #11745163 | C4 | semidirect |
| 63. C8×C29 | C4⋊C4 | semidirect |
| 64. #6597 | C4⋊C4 | semidirect |
| 106. C29 | #1847 | semidirect |
| 149. C8 | #90779 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11745166 | 2 |
| C2×#11745155 | 2 |
| C2×#11745156 | 2 |
| C2×#11745163 | 2 |
| #14271032 | 2 |
| #14271028 | 2 |
| C2×C29×#106 | 2 |
| #1847 | 29 |