Finite Group DatabasebetaFinite Group DatabasebetaOrder 9536.
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×#14558746 | C2 | semidirect |
| 2. C2×C4×#10597010 | C2 | semidirect |
| 3. #18011975 | C2 | direct (N × H) |
| 7. #14558746 | C22 | semidirect |
| 10. C4×#10597010 | C22 | semidirect |
| 13. #14558735 | C4 | semidirect |
| 15. C2×Dic298 | C4 | semidirect |
| 19. C2×D4×C149 | C4 | semidirect |
| 25. Dic298 | C2×C4 | semidirect |
| 38. D4×C149 | C2×C4 | semidirect |
| 53. C2×C149 | #104 | semidirect |
| 57. C149 | C2×#104 | semidirect |
| 69. C2×D4 | #10597010 | semidirect |
| 85. D4 | C2×#10597010 | semidirect |
| 113. C2 | #18011975 | direct (N × H) |