Finite Group DatabasebetaFinite Group DatabasebetaOrder 4736.
336 conjugacy classes of subgroups; only the 123 normal subgroups are shown.
This group has 336 conjugacy classes of subgroups — too many to draw. Only its 123 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 |
|---|---|---|
| 91. Dic74 | Q16 | semidirect |
| 124. C37 | #3363 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14558263 | 2 |
| #14558261 | 2 |
| #14557885 | 2 |
| #14557882 | 2 |
| #14557827 | 2 |
| #14557744 | 2 |
| #14557742 | 2 |
| #14557657 | 2 |
| #14557627 | 2 |
| C4×#10596942 | 2 |
| C37×#477 | 2 |
| #3363 | 37 |