Finite Group DatabasebetaFinite Group DatabasebetaOrder 8896.
104 conjugacy classes of subgroups; only the 35 normal subgroups are shown.
This group has 104 conjugacy classes of subgroups — too many to draw. Only its 35 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. #17984873 | C2 | semidirect |
| 3. C2×#14555772 | C2 | semidirect |
| 4. #17984850 | C2 | semidirect |
| 5. #17984777 | C2 | semidirect |
| 6. #17984758 | C2 | semidirect |
| 7. #101×C139 | C2 | semidirect |
| 51. C139 | #471 | semidirect |
| 58. #101 | D139 | semidirect |