Finite Group DatabasebetaFinite Group DatabasebetaOrder 6464.
122 conjugacy classes of subgroups; only the 44 normal subgroups are shown.
This group has 122 conjugacy classes of subgroups — too many to draw. Only its 44 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. Q8×#87938 | C2 | semidirect |
| 3. #15692323 | C2 | semidirect |
| 4. #15692318 | C2 | semidirect |
| 6. C8×#87938 | C2 | semidirect |
| 18. #13108063 | C4 | semidirect |
| 19. #13108062 | C4 | semidirect |
| 20. #13108061 | C4 | semidirect |
| 22. SD16×C101 | C4 | semidirect |
| 29. Q8×C101 | C2×C4 | semidirect |
| 36. Dic202 | C2×C4 | semidirect |
| 38. C8×C101 | C2×C4 | semidirect |
| 39. #11717579 | C2×C4 | semidirect |
| 48. #87938 | SD16 | direct (N × H) |
| 58. C101 | C4×SD16 | semidirect |
| 73. SD16 | #87938 | direct (N × H) |
| 85. Q8 | C2×#87938 | semidirect |
| 98. C8 | C2×#87938 | semidirect |