Finite Group DatabasebetaFinite Group DatabasebetaOrder 8768.
124 conjugacy classes of subgroups; only the 43 normal subgroups are shown.
This group has 124 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×#14555500 | C2 | semidirect |
| 4. #17984086 | C2 | semidirect |
| 6. #17983998 | C2 | semidirect |
| 7. C2×Q16×C137 | C2 | semidirect |
| 49. C137 | #497 | semidirect |
| 52. C2×Q16 | D137 | semidirect |