Finite Group DatabasebetaFinite Group DatabasebetaOrder 35968.
260 conjugacy classes of subgroups; only the 57 normal subgroups are shown.
This group has 260 conjugacy classes of subgroups — too many to draw. Only its 57 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. #101×D281 | C2 | semidirect |
| 3. #31823260 | C2 | semidirect |
| 4. #31823259 | C2 | semidirect |
| 5. #355×C281 | C2 | semidirect |
| 15. #22582798 | C22 | semidirect |
| 18. #101×C281 | C22 | semidirect |
| 90. D281 | #355 | direct (N × H) |
| 91. C281 | C2×#355 | semidirect |
| 97. #355 | D281 | direct (N × H) |
| 110. #101 | C2×D281 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #124×D281 | 2 |
| #101×D281 | 2 |
| #31823260 | 2 |
| #31823259 | 2 |
| #355×C281 | 2 |
| C2×#355 | 281 |