Finite Group DatabasebetaFinite Group DatabasebetaOrder 8896.
162 conjugacy classes of subgroups; only the 43 normal subgroups are shown.
This group has 162 conjugacy classes of subgroups — too many to draw. Only its 43 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×#14555785 | C2 | semidirect |
| 2. C2×#14555774 | C2 | semidirect |
| 3. C2×D1112 | C2 | semidirect |
| 4. #17984816 | C2 | semidirect |
| 5. #17984767 | C2 | semidirect |
| 6. #17984764 | C2 | semidirect |
| 7. C22⋊C8×C139 | C2 | semidirect |
| 26. Dic278 | D4 | semidirect |
| 30. D556 | D4 | semidirect |
| 64. C139 | #449 | semidirect |
| 72. C22⋊C8 | D139 | semidirect |