Finite Group DatabasebetaFinite Group DatabasebetaOrder 35968.
648 conjugacy classes of subgroups; only the 173 normal subgroups are shown.
This group has 648 conjugacy classes of subgroups — too many to draw. Only its 173 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. #31823343 | C2 | semidirect |
| 3. #31823342 | C2 | semidirect |
| 4. #31823341 | C2 | semidirect |
| 5. #31823340 | C2 | semidirect |
| 6. #31823339 | C2 | semidirect |
| 7. #31823339 | C2 | semidirect |
| 8. #31823330 | C2 | semidirect |
| 9. #386×C281 | C2 | semidirect |
| 15. #22582875 | C4 | semidirect |
| 35. C2×D1124 | C2×C4 | semidirect |
| 40. C2×C22⋊D281 | C2×C4 | semidirect |
| 41. C2×C22⋊D281 | C2×C4 | semidirect |
| 55. C4×Dic281 | C2×C4 | semidirect |
| 60. C2×D4×C281 | C2×C4 | semidirect |
| 147. C281 | #2380 | semidirect |
| 156. #386 | D281 | semidirect |
| 194. 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×#22582875 | 2 |
| #31823343 | 2 |
| #31823342 | 2 |
| #31823341 | 2 |
| #31823340 | 2 |
| #31823339 | 2 |
| #31823330 | 2 |
| #386×C281 | 2 |
| #2380 | 281 |