Finite Group DatabasebetaFinite Group DatabasebetaOrder 4736.
600 conjugacy classes of subgroups; only the 269 normal subgroups are shown.
This group has 600 conjugacy classes of subgroups — too many to draw. Only its 269 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 |
|---|---|---|
| 3. #14557429 | C2 | semidirect |
| 5. #14557402 | C2 | semidirect |
| 6. #14557398 | C2 | semidirect |
| 9. #11924495 | C4 | semidirect |
| 42. C4⋊Dic37 | C2×C4 | semidirect |
| 45. C4×Dic37 | C2×C4 | semidirect |
| 55. C2×C4×C37 | C4⋊C4 | semidirect |
| 99. C37 | #2317 | semidirect |
| 154. C2×C4 | #10596936 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11924495 | 2 |
| #14557429 | 2 |
| #14557406 | 2 |
| #14557402 | 2 |
| #14557398 | 2 |
| C22×C4⋊C4×C37 | 2 |
| #2317 | 37 |