Finite Group DatabasebetaFinite Group DatabasebetaOrder 6464.
170 conjugacy classes of subgroups; only the 52 normal subgroups are shown.
This group has 170 conjugacy classes of subgroups — too many to draw. Only its 52 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×#13108084 | C2 | semidirect |
| 2. C2×C4×#87938 | C2 | semidirect |
| 3. #15692319 | C2 | direct (N × H) |
| 7. #13108084 | C22 | semidirect |
| 10. C4×#87938 | C22 | semidirect |
| 13. #13108073 | C4 | semidirect |
| 15. C2×Dic202 | C4 | semidirect |
| 19. C2×D4×C101 | C4 | semidirect |
| 25. D4×C101 | C2×C4 | semidirect |
| 38. Dic202 | C2×C4 | semidirect |
| 53. C2×C101 | #104 | semidirect |
| 57. C101 | C2×#104 | semidirect |
| 69. C2×D4 | #87938 | semidirect |
| 85. D4 | C2×#87938 | semidirect |
| 113. C2 | #15692319 | direct (N × H) |