Finite Group DatabasebetaFinite Group DatabasebetaOrder 6464.
162 conjugacy classes of subgroups; only the 43 normal subgroups are shown.
This group has 162 conjugacy classes of subgroups — too many to draw. Only its 43 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×#13108074 | C2 | semidirect |
| 2. C2×#13108062 | C2 | semidirect |
| 3. C2×#13108059 | C2 | semidirect |
| 4. #15692178 | C2 | semidirect |
| 5. #15692175 | C2 | semidirect |
| 6. C22⋊#11717579 | C2 | semidirect |
| 7. #121×C101 | C2 | semidirect |
| 37. D404 | D4 | semidirect |
| 40. Dic202 | D4 | semidirect |
| 64. C101 | #449 | semidirect |
| 69. #121 | D101 | semidirect |