Finite Group DatabasebetaFinite Group DatabasebetaOrder 3712.
260 conjugacy classes of subgroups; only the 69 normal subgroups are shown.
This group has 260 conjugacy classes of subgroups — too many to draw. Only its 69 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×#11745146 | C2 | semidirect |
| 3. #14271200 | C2 | semidirect |
| 4. #14270965 | C2 | semidirect |
| 5. #14270964 | C2 | semidirect |
| 6. #14270963 | C2 | semidirect |
| 7. C29×#357 | C2 | semidirect |
| 12. D8×D29 | C4 | semidirect |
| 16. C2×C16×C29 | C22 | semidirect |
| 17. C29×#107 | C22 | semidirect |
| 18. #11745166 | C22 | semidirect |
| 19. C2×#90768 | C22 | semidirect |
| 87. #357 | D29 | semidirect |
| 104. C2×C16 | C2×D29 | semidirect |
| 106. #107 | C2×D29 | semidirect |
| 108. C29 | #2140 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×D8×D29 | 2 |
| C2×#11745146 | 2 |
| #14271200 | 2 |
| #14270965 | 2 |
| #14270964 | 2 |
| #14270963 | 2 |
| C29×#357 | 2 |
| #2140 | 29 |