Finite Group DatabasebetaFinite Group DatabasebetaOrder 4736.
130 conjugacy classes of subgroups; only the 51 normal subgroups are shown.
This group has 130 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 |
|---|---|---|
| 22. Q16×C37 | Q8 | semidirect |
| 67. C37 | #2225 | semidirect |
| 82. Q16 | Dic74 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14557937 | 2 |
| Q16×Dic37 | 2 |
| #14557361 | 2 |
| #14557360 | 2 |
| #14557351 | 2 |
| #14557337 | 2 |
| C37×#358 | 2 |
| #2225 | 37 |