Finite Group DatabasebetaFinite Group DatabasebetaOrder 4736.
230 conjugacy classes of subgroups; only the 51 normal subgroups are shown.
This group has 230 conjugacy classes of subgroups — too many to draw. Only its 51 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×#11924559 | C2 | semidirect |
| 2. C2×#11924477 | C2 | semidirect |
| 3. #14557766 | C2 | semidirect |
| 4. #14557337 | C2 | semidirect |
| 5. #14557335 | C2 | semidirect |
| 6. #14557312 | C2 | semidirect |
| 7. C2×SD32×C37 | C2 | semidirect |
| 33. Q16×C37 | D4 | semidirect |
| 42. D296 | D4 | semidirect |
| 91. C2×SD32 | D37 | semidirect |
| 97. C37 | #2186 | semidirect |
| 123. Q16 | C22⋊D37 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11924559 | 2 |
| C2×#11924477 | 2 |
| #14557766 | 2 |
| #14557337 | 2 |
| #14557335 | 2 |
| #14557312 | 2 |
| C2×SD32×C37 | 2 |
| #2186 | 37 |