Finite Group DatabasebetaFinite Group DatabasebetaOrder 9536.
120 conjugacy classes of subgroups; only the 41 normal subgroups are shown.
This group has 120 conjugacy classes of subgroups — too many to draw. Only its 41 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×#14558724 | C2 | semidirect |
| 2. C2×#14558720 | C2 | semidirect |
| 3. #18011890 | C2 | semidirect |
| 4. #18011844 | C2 | semidirect |
| 5. #18011834 | C2 | semidirect |
| 6. #18011832 | C2 | semidirect |
| 26. #11924746 | D4 | semidirect |
| 55. C149 | #468 | semidirect |