Finite Group DatabasebetaFinite Group DatabasebetaOrder 9664.
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×D151 | C2 | semidirect |
| 3. C42×D151 | C2 | semidirect |
| 4. #18012667 | C2 | semidirect |
| 5. #18012666 | C2 | semidirect |
| 6. #18012665 | C2 | semidirect |
| 7. #104×C151 | C2 | semidirect |
| 8. #14559005 | C4 | semidirect |
| 12. #14559003 | C4 | semidirect |
| 13. Q8×D151 | C4 | semidirect |
| 15. D4×D151 | C4 | semidirect |
| 19. #14558988 | C22 | semidirect |
| 23. C4×Dic151 | C22 | semidirect |
| 25. M16×C151 | C22 | semidirect |
| 26. C42×C151 | C22 | semidirect |
| 30. Dic302 | C2×C4 | semidirect |
| 32. D604 | C2×C4 | semidirect |
| 48. Q8×C151 | C2×C4 | semidirect |
| 50. D4×C151 | C2×C4 | semidirect |
| 75. D151 | #104 | direct (N × H) |
| 76. C151 | C2×#104 | semidirect |
| 84. #104 | D151 | direct (N × H) |
| 99. M16 | C2×D151 | semidirect |
| 103. C42 | C2×D151 | semidirect |
| 108. Q8 | C4×D151 | semidirect |
| 115. D4 | C4×D151 | semidirect |