Finite Group DatabasebetaFinite Group DatabasebetaOrder 8896.
266 conjugacy classes of subgroups; only the 103 normal subgroups are shown.
This group has 266 conjugacy classes of subgroups — too many to draw. Only its 103 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×#14555786 | C2 | semidirect |
| 2. C2×#14555784 | C2 | semidirect |
| 3. #17984863 | C2 | direct (N × H) |
| 4. C2×#14555775 | C2 | semidirect |
| 5. C2×#14555774 | C2 | semidirect |
| 6. C2×#14555770 | C2 | semidirect |
| 7. C2×C8×D139 | C2 | semidirect |
| 8. C2×SD16×C139 | C2 | semidirect |
| 10. #14555786 | C22 | semidirect |
| 12. #14555784 | C22 | semidirect |
| 20. #14555775 | C22 | semidirect |
| 21. #14555774 | C22 | semidirect |
| 22. #14555770 | C22 | semidirect |
| 24. C8×D139 | C22 | semidirect |
| 27. SD16×C139 | C22 | semidirect |
| 65. C2×C139 | #135 | semidirect |
| 69. C139 | C2×#135 | semidirect |
| 76. C2×SD16 | D139 | semidirect |
| 94. SD16 | C2×D139 | semidirect |
| 137. C2 | #17984863 | direct (N × H) |