Finite Group DatabasebetaFinite Group DatabasebetaOrder 4736.
774 conjugacy classes of subgroups; only the 206 normal subgroups are shown.
This group has 774 conjugacy classes of subgroups — too many to draw. Only its 206 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×#11924624 | C2 | semidirect |
| 2. #14558508 | C2 | semidirect |
| 3. #14558504 | C2 | semidirect |
| 4. D37⋊(C22⋊C8) | C2 | semidirect |
| 7. C2×#10596953 | C22 | semidirect |
| 8. C2×D37⋊C8 | C22 | semidirect |
| 9. #11924593 | C22 | semidirect |
| 10. #11924593 | C22 | semidirect |
| 69. C22×C37 | #131 | semidirect |
| 94. C37 | #2880 | semidirect |
| 165. C22 | #11924624 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11924624 | 2 |
| #14558508 | 2 |
| #14558504 | 2 |
| D37⋊(C22⋊C8) | 2 |
| C22×#10596966 | 2 |
| #2880 | 37 |