Finite Group DatabasebetaFinite Group DatabasebetaOrder 35968.
210 conjugacy classes of subgroups; only the 61 normal subgroups are shown.
This group has 210 conjugacy classes of subgroups — too many to draw. Only its 61 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 |
|---|---|---|
| 4. #31823209 | C2 | semidirect |
| 5. Q8⋊#14555886 | C2 | semidirect |
| 6. Q8⋊#14555886 | C2 | semidirect |
| 7. #557×C281 | C2 | semidirect |
| 63. Q8×C281 | SD16 | semidirect |
| 90. C281 | #1626 | semidirect |
| 92. #557 | D281 | semidirect |
| 146. Q8 | #17985125 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #31823811 | 2 |
| #31823663 | 2 |
| #31823209 | 2 |
| Q8⋊#14555886 | 2 |
| #557×C281 | 2 |
| #1626 | 281 |