Finite Group DatabasebetaFinite Group DatabasebetaOrder 35968.
346 conjugacy classes of subgroups; only the 79 normal subgroups are shown.
This group has 346 conjugacy classes of subgroups — too many to draw. Only its 79 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. #31823937 | C2 | semidirect |
| 3. #31823480 | C2 | semidirect |
| 4. #31823467 | C2 | semidirect |
| 5. #31823233 | C2 | semidirect |
| 6. #31823219 | C2 | semidirect |
| 7. #410×C281 | C2 | semidirect |
| 11. C2×#17985125 | C4 | semidirect |
| 12. C2×#17985123 | C4 | semidirect |
| 40. C2×#14555886 | C2×C4 | semidirect |
| 49. C2×Q8×C281 | C2×C4 | semidirect |
| 51. C2×D4×C281 | C2×C4 | semidirect |
| 115. C281 | #1904 | semidirect |
| 121. #410 | D281 | semidirect |
| 146. C2×Q8 | C4×D281 | semidirect |
| 154. C2×D4 | C4×D281 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#22582904 | 2 |
| #31823937 | 2 |
| #31823480 | 2 |
| #31823467 | 2 |
| #31823233 | 2 |
| #31823219 | 2 |
| #410×C281 | 2 |
| #1904 | 281 |