Finite Group DatabasebetaFinite Group DatabasebetaOrder 4736.
224 conjugacy classes of subgroups; only the 90 normal subgroups are shown.
This group has 224 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 |
|---|---|---|
| 1. C2×#11924610 | C2 | semidirect |
| 2. C22×#10596927 | C2 | semidirect |
| 3. #14558431 | C2 | direct (N × H) |
| 6. #11924610 | C22 | semidirect |
| 10. C2×#10596927 | C22 | semidirect |
| 81. C2×C37 | #350 | semidirect |
| 87. C37 | C2×#350 | semidirect |
| 163. C2 | #14558431 | 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 |
| C22×#10596927 | 2 |
| #14558431 | 2 |
| C2×#11924543 | 2 |
| C2×#350 | 37 |