Finite Group DatabasebetaFinite Group DatabasebetaOrder 3712.
284 conjugacy classes of subgroups; only the 88 normal subgroups are shown.
This group has 284 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 |
|---|---|---|
| 3. #14272126 | C2 | semidirect |
| 4. #14272045 | C2 | semidirect |
| 9. C2×M16×C29 | C4 | semidirect |
| 10. C22×#6597 | C4 | semidirect |
| 13. C2×#90772 | C4 | semidirect |
| 15. C2×C8×D29 | C4 | semidirect |
| 17. #11745229 | C4 | semidirect |
| 19. #11745221 | C4 | semidirect |
| 105. C2×M16 | #1181 | semidirect |
| 116. C29 | #1757 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14272149 | 2 |
| #14272142 | 2 |
| #14272126 | 2 |
| #14272045 | 2 |
| C2×#11745269 | 2 |
| #1757 | 29 |