Finite Group DatabasebetaFinite Group DatabasebetaOrder 8896.
248 conjugacy classes of subgroups; only the 99 normal subgroups are shown.
This group has 248 conjugacy classes of subgroups — too many to draw. Only its 99 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. #17984890 | C2 | semidirect |
| 2. #17984874 | C2 | semidirect |
| 3. #17984873 | C2 | semidirect |
| 4. #17984865 | C2 | semidirect |
| 5. #17984864 | C2 | semidirect |
| 6. Q16×D139 | C2 | semidirect |
| 7. #17984848 | C2 | semidirect |
| 8. C2×Q16×C139 | C2 | semidirect |
| 59. C139 | #578 | semidirect |
| 67. C2×Q16 | D139 | semidirect |