Finite Group DatabasebetaFinite Group DatabasebetaOrder 4736.
480 conjugacy classes of subgroups; only the 205 normal subgroups are shown.
This group has 480 conjugacy classes of subgroups — too many to draw. Only its 205 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 |
|---|---|---|
| 3. #14557641 | C2 | direct (N × H) |
| 8. C2×Dic148 | C4 | semidirect |
| 39. Dic148 | C2×C4 | semidirect |
| 66. C2×C37 | #441 | semidirect |
| 75. C37 | C2×#441 | semidirect |
| 134. C2 | #14557641 | direct (N × H) |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22×Dic148 | 2 |
| C2×C4×Dic74 | 2 |
| #14557641 | 2 |
| C2×#11924468 | 2 |
| C2×#11924461 | 2 |
| C2×#97×C37 | 2 |
| C2×#441 | 37 |