Finite Group DatabasebetaFinite Group DatabasebetaOrder 8768.
148 conjugacy classes of subgroups; only the 45 normal subgroups are shown.
This group has 148 conjugacy classes of subgroups — too many to draw. Only its 45 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 |
|---|---|---|
| 2. C2×#14555500 | C2 | semidirect |
| 4. #17984013 | C2 | semidirect |
| 5. #17984012 | C2 | semidirect |
| 7. C2×Q16×C137 | C2 | semidirect |
| 45. C2×D137 | Q16 | semidirect |
| 57. C137 | #451 | semidirect |
| 61. C2×Q16 | D137 | semidirect |