Finite Group DatabasebetaFinite Group DatabasebetaOrder 35968.
312 conjugacy classes of subgroups; only the 93 normal subgroups are shown.
This group has 312 conjugacy classes of subgroups — too many to draw. Only its 93 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. #31823516 | C2 | semidirect |
| 3. #31823190 | C2 | semidirect |
| 4. #423×C281 | C2 | semidirect |
| 15. C4×#14555886 | C22 | semidirect |
| 19. C4⋊C8×C281 | C22 | semidirect |
| 49. D1124 | M16 | semidirect |
| 89. C281 | #1486 | semidirect |
| 93. #423 | D281 | semidirect |
| 107. C4⋊C8 | C2×D281 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×C4×D1124 | 2 |
| #31823516 | 2 |
| #31823190 | 2 |
| #423×C281 | 2 |
| #1486 | 281 |