Finite Group DatabasebetaFinite Group DatabasebetaOrder 4736.
712 conjugacy classes of subgroups; only the 149 normal subgroups are shown.
This group has 712 conjugacy classes of subgroups — too many to draw. Only its 149 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×#11924584 | C2 | semidirect |
| 2. C2×#11924556 | C2 | semidirect |
| 3. #14558111 | C2 | semidirect |
| 4. #14557694 | C2 | semidirect |
| 5. #14557687 | C2 | semidirect |
| 6. #14557677 | C2 | semidirect |
| 7. #14557670 | C2 | semidirect |
| 8. #14557535 | C2 | semidirect |
| 9. C2×#11924460 | C2 | semidirect |
| 10. #14557501 | C2 | semidirect |
| 11. C2×#137×C37 | C2 | semidirect |
| 49. C2×Q8×C37 | D4 | semidirect |
| 71. #10596962 | D4 | semidirect |
| 171. C2×#137 | D37 | semidirect |
| 181. C37 | #3013 | semidirect |
| 233. C2×Q8 | C22⋊D37 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11924584 | 2 |
| C2×#11924556 | 2 |
| #14558111 | 2 |
| #14557694 | 2 |
| #14557687 | 2 |
| #14557677 | 2 |
| #14557670 | 2 |
| #14557535 | 2 |
| C2×#11924460 | 2 |
| #14557501 | 2 |
| C2×#137×C37 | 2 |
| #3013 | 37 |