Finite Group DatabasebetaFinite Group DatabasebetaOrder 3712.
132 conjugacy classes of subgroups; only the 73 normal subgroups are shown.
This group has 132 conjugacy classes of subgroups — too many to draw. Only its 73 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 |
|---|---|---|
| 9. C2×C16×C29 | C4 | semidirect |
| 13. #11745160 | C4 | semidirect |
| 68. C2×C16 | Dic29 | semidirect |
| 71. C29 | #1378 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11745160 | 2 |
| #14271118 | 2 |
| C2×C29×M32 | 2 |
| #1378 | 29 |