Finite Group DatabasebetaFinite Group DatabasebetaOrder 6464.
120 conjugacy classes of subgroups; only the 39 normal subgroups are shown.
This group has 120 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 |
|---|---|---|
| 1. C2×#13108062 | C2 | semidirect |
| 2. C2×#13108057 | C2 | semidirect |
| 3. #15692235 | C2 | semidirect |
| 5. #15692188 | C2 | semidirect |
| 6. #15692180 | C2 | semidirect |
| 7. #102×C101 | C2 | semidirect |
| 36. #11717579 | D4 | semidirect |
| 55. C101 | #468 | semidirect |
| 63. #102 | D101 | semidirect |