Finite Group DatabasebetaFinite Group DatabasebetaOrder 4736.
340 conjugacy classes of subgroups; only the 165 normal subgroups are shown.
This group has 340 conjugacy classes of subgroups — too many to draw. Only its 165 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. #14557942 | C2 | semidirect |
| 3. #14557938 | C2 | semidirect |
| 4. #14557935 | C2 | semidirect |
| 31. M16×C37 | Q8 | semidirect |
| 32. C2×C8×C37 | Q8 | semidirect |
| 89. C37 | #3164 | semidirect |
| 112. M16 | Dic74 | semidirect |
| 113. C2×C8 | Dic74 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14558161 | 2 |
| #14557942 | 2 |
| #14557938 | 2 |
| #14557935 | 2 |
| #14557575 | 2 |
| #14557571 | 2 |
| C2×#11924470 | 2 |
| C37×#405 | 2 |
| #3164 | 37 |