Finite Group DatabasebetaFinite Group DatabasebetaOrder 3712.
220 conjugacy classes of subgroups; only the 72 normal subgroups are shown.
This group has 220 conjugacy classes of subgroups — too many to draw. Only its 72 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×#11745206 | C2 | semidirect |
| 2. D29⋊M32 | C2 | semidirect |
| 3. #14272062 | C2 | semidirect |
| 4. #14272061 | C2 | semidirect |
| 17. #11745214 | C22 | semidirect |
| 18. C2×#90770 | C22 | semidirect |
| 125. C29 | #2117 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11745206 | 2 |
| D29⋊M32 | 2 |
| #14272062 | 2 |
| #14272061 | 2 |
| #131×D29 | 2 |
| #2117 | 29 |