Finite Group DatabasebetaFinite Group DatabasebetaOrder 3712.
230 conjugacy classes of subgroups; only the 54 normal subgroups are shown.
This group has 230 conjugacy classes of subgroups — too many to draw. Only its 54 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 |
|---|---|---|
| 1. C2×#11745221 | C2 | semidirect |
| 2. #14272073 | C2 | semidirect |
| 3. #14272071 | C2 | semidirect |
| 92. C29 | #2133 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11745221 | 2 |
| #14272073 | 2 |
| #14272071 | 2 |
| #14271734 | 2 |
| #2133 | 29 |