Finite Group DatabasebetaFinite Group DatabasebetaOrder 6464.
124 conjugacy classes of subgroups; only the 45 normal subgroups are shown.
This group has 124 conjugacy classes of subgroups — too many to draw. Only its 45 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. C22×#11717579 | C2 | semidirect |
| 3. #15692234 | C2 | semidirect |
| 4. #15692186 | C2 | semidirect |
| 5. #15692178 | C2 | semidirect |
| 6. #15692176 | C2 | semidirect |
| 36. #11717579 | D4 | semidirect |
| 42. C22×C101 | SD16 | semidirect |
| 55. C101 | #465 | semidirect |
| 98. C22 | #13108062 | semidirect |