Finite Group DatabasebetaFinite Group DatabasebetaOrder 6464.
132 conjugacy classes of subgroups; only the 51 normal subgroups are shown.
This group has 132 conjugacy classes of subgroups — too many to draw. Only its 51 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. C4×D404 | C2 | semidirect |
| 3. #15692186 | C2 | semidirect |
| 4. #15692176 | C2 | semidirect |
| 5. #15692175 | C2 | semidirect |
| 6. #15692166 | C2 | semidirect |
| 7. C4×D4×C101 | C2 | semidirect |
| 10. #13108059 | C4 | semidirect |
| 23. D4×C101 | C2×C4 | semidirect |
| 31. D404 | C2×C4 | semidirect |
| 34. #11717579 | C2×C4 | semidirect |
| 53. C101 | #442 | semidirect |
| 57. C4×D4 | D101 | semidirect |
| 79. D4 | C4×D101 | semidirect |