Finite Group DatabasebetaFinite Group DatabasebetaOrder 6464.
152 conjugacy classes of subgroups; only the 47 normal subgroups are shown.
This group has 152 conjugacy classes of subgroups — too many to draw. Only its 47 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 |
|---|---|---|
| 1. C2×#13108064 | C2 | semidirect |
| 2. C2×#13108062 | C2 | semidirect |
| 3. #15692234 | C2 | semidirect |
| 4. #15692179 | C2 | semidirect |
| 5. #15692176 | C2 | semidirect |
| 6. C22⋊#11717579 | C2 | semidirect |
| 60. C101 | #452 | semidirect |