Finite Group DatabasebetaFinite Group DatabasebetaOrder 9536.
258 conjugacy classes of subgroups; only the 107 normal subgroups are shown.
This group has 258 conjugacy classes of subgroups — too many to draw. Only its 107 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 |
|---|---|---|
| 3. C2×C4×Dic149 | C2 | semidirect |
| 4. #18011818 | C2 | semidirect |
| 5. C2×C42×C149 | C2 | semidirect |
| 11. C2×C4×D149 | C4 | semidirect |
| 12. #14558713 | C4 | direct (N × H) |
| 27. C2×Dic149 | C2×C4 | semidirect |
| 33. C2×C4×C149 | C2×C4 | semidirect |
| 45. C2×D149 | C42 | semidirect |
| 47. C4×C149 | C22⋊C4 | semidirect |
| 56. C149 | C4×C22⋊C4 | semidirect |
| 61. C2×C42 | D149 | semidirect |
| 90. C2×C4 | C4×D149 | semidirect |
| 106. C4 | #14558713 | direct (N × H) |