Finite Group DatabasebetaFinite Group DatabasebetaOrder 35968.
240 conjugacy classes of subgroups; only the 105 normal subgroups are shown.
This group has 240 conjugacy classes of subgroups — too many to draw. Only its 105 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 |
|---|---|---|
| 10. #22582811 | C4 | semidirect |
| 52. C8×C281 | C4⋊C4 | semidirect |
| 71. C281 | #1944 | semidirect |
| 124. C8 | #17985117 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#22582811 | 2 |
| C2×#22582789 | 2 |
| #31823359 | 2 |
| #31823225 | 2 |
| C2×#107×C281 | 2 |
| #1944 | 281 |