Finite Group DatabasebetaFinite Group DatabasebetaOrder 4736.
284 conjugacy classes of subgroups; only the 85 normal subgroups are shown.
This group has 284 conjugacy classes of subgroups — too many to draw. Only its 85 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. C2×#11924447 | C2 | semidirect |
| 3. #14557272 | C2 | direct (N × H) |
| 4. C2×#97×C37 | C2 | semidirect |
| 15. #11924447 | C22 | semidirect |
| 19. #97×C37 | C22 | semidirect |
| 81. C2×C37 | #329 | semidirect |
| 88. C2×#97 | D37 | semidirect |
| 90. C37 | C2×#329 | semidirect |
| 105. #97 | C2×D37 | semidirect |
| 167. C2 | #14557272 | direct (N × H) |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11924524 | 2 |
| C2×#11924447 | 2 |
| #14557272 | 2 |
| C2×#97×C37 | 2 |
| C2×#329 | 37 |