Finite Group DatabasebetaFinite Group DatabasebetaOrder 6464.
108 conjugacy classes of subgroups; only the 37 normal subgroups are shown.
This group has 108 conjugacy classes of subgroups — too many to draw. Only its 37 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. #15692280 | C2 | semidirect |
| 2. C2×#13108059 | C2 | semidirect |
| 3. #15692262 | C2 | semidirect |
| 4. #15692190 | C2 | semidirect |
| 5. #15692172 | C2 | semidirect |
| 6. #15692171 | C2 | semidirect |
| 7. AGL(1,ℤ/8)×C101 | C2 | semidirect |
| 53. C101 | #472 | semidirect |
| 56. AGL(1,ℤ/8) | D101 | semidirect |