Finite Group DatabasebetaFinite Group DatabasebetaOrder 35456.
206 conjugacy classes of subgroups; only the 59 normal subgroups are shown.
This group has 206 conjugacy classes of subgroups — too many to draw. Only its 59 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 |
|---|---|---|
| 51. Dic554 | Q16 | semidirect |
| 59. Q8×C277 | Q16 | semidirect |
| 82. C277 | #1633 | semidirect |
| 137. Q8 | #17984553 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| Q8×Dic554 | 2 |
| #31800381 | 2 |
| #31800294 | 2 |
| #31799750 | 2 |
| Q8⋊#14555660 | 2 |
| #31799732 | 2 |
| #477×C277 | 2 |
| #1633 | 277 |