Finite Group DatabasebetaFinite Group DatabasebetaOrder 35968.
428 conjugacy classes of subgroups; only the 107 normal subgroups are shown.
This group has 428 conjugacy classes of subgroups — too many to draw. Only its 107 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. C2×#22582808 | C2 | semidirect |
| 3. C2×#22582801 | C2 | semidirect |
| 4. C2×#22582800 | C2 | semidirect |
| 5. C2×#22582799 | C2 | semidirect |
| 6. C4⋊C4×Dic281 | C2 | semidirect |
| 7. C2×#102×C281 | C2 | semidirect |
| 13. #22582875 | C4 | semidirect |
| 46. C4⋊Dic281 | D4 | semidirect |
| 63. C4⋊C4×C281 | D4 | semidirect |
| 137. Dic281 | #102 | semidirect |
| 147. C281 | #1982 | semidirect |
| 154. C2×#102 | D281 | semidirect |
| 208. C4⋊C4 | C22⋊D281 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#22582875 | 2 |
| C2×#22582808 | 2 |
| C2×#22582801 | 2 |
| C2×#22582800 | 2 |
| C2×#22582799 | 2 |
| C4⋊C4×Dic281 | 2 |
| C2×#102×C281 | 2 |
| #1982 | 281 |