Finite Group DatabasebetaFinite Group DatabasebetaOrder 3712.
156 conjugacy classes of subgroups; only the 52 normal subgroups are shown.
This group has 156 conjugacy classes of subgroups — too many to draw. Only its 52 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 |
|---|---|---|
| 11. C4×#6599 | C4 | semidirect |
| 12. C29×C4⋊C8 | C4 | semidirect |
| 14. C4⋊#6597 | C4 | semidirect |
| 78. C4⋊C8 | #1181 | semidirect |
| 83. C29 | #1286 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14272182 | 2 |
| #14272107 | 2 |
| #14271185 | 2 |
| #1286 | 29 |