Finite Group DatabasebetaFinite Group DatabasebetaOrder 6464.
150 conjugacy classes of subgroups; only the 59 normal subgroups are shown.
This group has 150 conjugacy classes of subgroups — too many to draw. Only its 59 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. C2×#13108058 | C2 | semidirect |
| 3. #15692173 | C2 | semidirect |
| 4. #15692171 | C2 | semidirect |
| 5. C2×M16×C101 | C2 | semidirect |
| 56. C101 | #413 | semidirect |
| 60. C2×M16 | D101 | semidirect |