Finite Group DatabasebetaFinite Group DatabasebetaOrder 6464.
142 conjugacy classes of subgroups; only the 39 normal subgroups are shown.
This group has 142 conjugacy classes of subgroups — too many to draw. Only its 39 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 |
|---|---|---|
| 2. #15692288 | C2 | semidirect |
| 3. #15692285 | C2 | semidirect |
| 4. #15692255 | C2 | semidirect |
| 5. #15692183 | C2 | semidirect |
| 6. #15692173 | C2 | semidirect |
| 7. #104×C101 | C2 | semidirect |
| 61. C101 | #456 | semidirect |
| 68. #104 | D101 | semidirect |