Finite Group DatabasebetaFinite Group DatabasebetaOrder 35456.
152 conjugacy classes of subgroups; only the 65 normal subgroups are shown.
This group has 152 conjugacy classes of subgroups — too many to draw. Only its 65 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 |
|---|---|---|
| 48. #14555660 | Q16 | semidirect |
| 71. C277 | #1584 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #31800129 | 2 |
| Q8×#14555660 | 2 |
| C4×#17984553 | 2 |
| #31799754 | 2 |
| #31799734 | 2 |
| #31799724 | 2 |
| Q8⋊C8×C277 | 2 |
| #1584 | 277 |