Finite Group DatabasebetaFinite Group DatabasebetaOrder 9536.
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×#10597010 | C2 | semidirect |
| 3. #18011979 | C2 | semidirect |
| 4. #18011974 | C2 | semidirect |
| 6. C8×#10597010 | C2 | semidirect |
| 18. #14558725 | C4 | semidirect |
| 19. #14558724 | C4 | semidirect |
| 20. #14558723 | C4 | semidirect |
| 22. SD16×C149 | C4 | semidirect |
| 31. Dic298 | C2×C4 | semidirect |
| 36. #11924746 | C2×C4 | semidirect |
| 37. Q8×C149 | C2×C4 | semidirect |
| 39. C8×C149 | C2×C4 | semidirect |
| 48. #10597010 | SD16 | direct (N × H) |
| 58. C149 | C4×SD16 | semidirect |
| 73. SD16 | #10597010 | direct (N × H) |
| 85. Q8 | C2×#10597010 | semidirect |
| 98. C8 | C2×#10597010 | semidirect |