Finite Group DatabasebetaFinite Group DatabasebetaOrder 4736.
168 conjugacy classes of subgroups; only the 90 normal subgroups are shown.
This group has 168 conjugacy classes of subgroups — too many to draw. Only its 90 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. #14558426 | C2 | direct (N × H) |
| 4. #11924610 | C4 | semidirect |
| 6. C2×#10596927 | C4 | semidirect |
| 23. #10596927 | C2×C4 | semidirect |
| 48. C2×C37 | #347 | semidirect |
| 53. C37 | C2×#347 | semidirect |
| 97. C2 | #14558426 | direct (N × H) |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11924610 | 2 |
| #14558426 | 2 |
| C2×#11924446 | 2 |
| C2×#347 | 37 |