Finite Group DatabasebetaFinite Group DatabasebetaOrder 9536.
114 conjugacy classes of subgroups; only the 55 normal subgroups are shown.
This group has 114 conjugacy classes of subgroups — too many to draw. Only its 55 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 |
|---|---|---|
| 4. C4⋊#11924746 | C2 | semidirect |
| 5. #18011840 | C2 | semidirect |
| 6. #18011840 | C2 | semidirect |
| 7. C4⋊C8×C149 | C2 | semidirect |
| 49. C149 | #424 | semidirect |
| 57. C4⋊C8 | D149 | semidirect |