Finite Group DatabasebetaFinite Group DatabasebetaOrder 5696.
112 conjugacy classes of subgroups; only the 41 normal subgroups are shown.
This group has 112 conjugacy classes of subgroups — too many to draw. Only its 41 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 |
|---|---|---|
| 3. Q8×Dic89 | C2 | semidirect |
| 4. #15667941 | C2 | semidirect |
| 5. #15667936 | C2 | semidirect |
| 7. C2×Q16×C89 | C2 | semidirect |
| 51. C89 | #464 | semidirect |
| 53. C2×Q16 | D89 | semidirect |