Finite Group DatabasebetaFinite Group DatabasebetaOrder 4736.
286 conjugacy classes of subgroups; only the 97 normal subgroups are shown.
This group has 286 conjugacy classes of subgroups — too many to draw. Only its 97 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. #14557575 | C2 | semidirect |
| 4. #14557399 | C2 | semidirect |
| 5. #14557301 | C2 | semidirect |
| 6. #14557293 | C2 | semidirect |
| 25. #104×C37 | C4 | semidirect |
| 40. M16×C37 | C2×C4 | semidirect |
| 43. C42×C37 | C2×C4 | semidirect |
| 119. C37 | #1860 | semidirect |
| 134. #104 | Dic37 | semidirect |
| 154. M16 | C2×Dic37 | semidirect |
| 169. C42 | C2×Dic37 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14558016 | 2 |
| #14557575 | 2 |
| #14557534 | 2 |
| #14557399 | 2 |
| #14557301 | 2 |
| #14557293 | 2 |
| C2×#104×C37 | 2 |
| #1860 | 37 |