Finite Group DatabasebetaFinite Group DatabasebetaOrder 6464.
170 conjugacy classes of subgroups; only the 53 normal subgroups are shown.
This group has 170 conjugacy classes of subgroups — too many to draw. Only its 53 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. M16×D101 | C2 | semidirect |
| 3. C42×D101 | C2 | semidirect |
| 4. #15692183 | C2 | semidirect |
| 5. #15692182 | C2 | semidirect |
| 6. #15692181 | C2 | semidirect |
| 7. #104×C101 | C2 | semidirect |
| 8. #13108075 | C4 | semidirect |
| 12. #13108073 | C4 | semidirect |
| 13. Q8×D101 | C4 | semidirect |
| 15. D4×D101 | C4 | semidirect |
| 19. #13108058 | C22 | semidirect |
| 23. C4×Dic101 | C22 | semidirect |
| 25. M16×C101 | C22 | semidirect |
| 26. C42×C101 | C22 | semidirect |
| 29. Q8×C101 | C2×C4 | semidirect |
| 31. D4×C101 | C2×C4 | semidirect |
| 42. D404 | C2×C4 | semidirect |
| 52. Dic202 | C2×C4 | semidirect |
| 75. D101 | #104 | direct (N × H) |
| 76. C101 | C2×#104 | semidirect |
| 84. #104 | D101 | direct (N × H) |
| 99. M16 | C2×D101 | semidirect |
| 103. C42 | C2×D101 | semidirect |
| 108. Q8 | C4×D101 | semidirect |
| 115. D4 | C4×D101 | semidirect |