Finite Group DatabasebetaFinite Group DatabasebetaOrder 3712.
380 conjugacy classes of subgroups; only the 88 normal subgroups are shown.
This group has 380 conjugacy classes of subgroups — too many to draw. Only its 88 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 |
|---|---|---|
| 2. C2×#11745225 | C2 | semidirect |
| 4. #14272036 | C2 | semidirect |
| 14. C29×C22⋊Q8 | C4 | semidirect |
| 15. #11745308 | C4 | semidirect |
| 16. #11745286 | C4 | semidirect |
| 17. #11745259 | C4 | semidirect |
| 98. C22×C29 | #103 | semidirect |
| 104. C2×D29 | #103 | semidirect |
| 142. C22⋊Q8 | #1181 | semidirect |
| 150. C29 | #1892 | semidirect |
| 232. C22 | #11745225 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22×D29⋊C8 | 2 |
| C2×#11745225 | 2 |
| #14272105 | 2 |
| #14272036 | 2 |
| C22⋊Q8×D29 | 2 |
| #1892 | 29 |