Finite Group DatabasebetaFinite Group DatabasebetaOrder 4736.
416 conjugacy classes of subgroups; only the 173 normal subgroups are shown.
This group has 416 conjugacy classes of subgroups — too many to draw. Only its 173 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. #14557815 | C2 | direct (N × H) |
| 33. C2×Dic74 | Q8 | semidirect |
| 64. Dic74 | C2×Q8 | semidirect |
| 79. C2×C37 | #475 | semidirect |
| 89. C37 | C2×#475 | semidirect |
| 161. C2 | #14557815 | direct (N × H) |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×C4×Dic74 | 2 |
| #14557815 | 2 |
| C2×#11924467 | 2 |
| C2×C4⋊#64436 | 2 |
| C2×#11924459 | 2 |
| C2×C4⋊Q8×C37 | 2 |
| C2×#475 | 37 |