Finite Group DatabasebetaFinite Group DatabasebetaOrder 35968.
280 conjugacy classes of subgroups; only the 125 normal subgroups are shown.
This group has 280 conjugacy classes of subgroups — too many to draw. Only its 125 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. #31823193 | C2 | direct (N × H) |
| 22. C2×Dic562 | C8 | semidirect |
| 45. Dic562 | C2×C8 | semidirect |
| 78. C2×C281 | Q8⋊C8 | semidirect |
| 82. C281 | C2×Q8⋊C8 | semidirect |
| 161. C2 | #31823193 | direct (N × H) |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×C4×Dic562 | 2 |
| C2×C4×#14555886 | 2 |
| #31823193 | 2 |
| C2×C4⋊C8×C281 | 2 |
| C2×Q8⋊C8 | 281 |