Finite Group DatabasebetaFinite Group DatabasebetaOrder 35968.
588 conjugacy classes of subgroups; only the 249 normal subgroups are shown.
This group has 588 conjugacy classes of subgroups — too many to draw. Only its 249 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 |
|---|---|---|
| 9. #22582879 | C4 | semidirect |
| 35. C4×Dic281 | Q8 | semidirect |
| 69. C4×C281 | C4×Q8 | semidirect |
| 73. Dic281 | C4⋊Q8 | semidirect |
| 79. C281 | C4×C4⋊Q8 | semidirect |
| 153. C4 | #22582844 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#22582879 | 2 |
| C2×#22582844 | 2 |
| #31823368 | 2 |
| #31823359 | 2 |
| C4⋊C4×Dic281 | 2 |
| C42×Dic281 | 2 |
| #384×C281 | 2 |
| C4×C4⋊Q8 | 281 |