Finite Group DatabasebetaFinite Group DatabasebetaOrder 8768.
144 conjugacy classes of subgroups; only the 43 normal subgroups are shown.
This group has 144 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×#14555497 | C2 | semidirect |
| 2. C2×D1096 | C2 | semidirect |
| 3. C2×#14555495 | C2 | semidirect |
| 4. #17984084 | C2 | semidirect |
| 5. #17984077 | C2 | semidirect |
| 6. #17983998 | C2 | semidirect |
| 7. C2×SD16×C137 | C2 | semidirect |
| 29. #11764040 | D4 | semidirect |
| 37. C8×C137 | D4 | semidirect |
| 54. C137 | #496 | semidirect |
| 57. C2×SD16 | D137 | semidirect |
| 92. C8 | C22⋊D137 | semidirect |