Finite Group DatabasebetaFinite Group DatabasebetaOrder 5696.
162 conjugacy classes of subgroups; only the 43 normal subgroups are shown.
This group has 162 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×#13083574 | C2 | semidirect |
| 2. C2×#13083563 | C2 | semidirect |
| 3. C2×D712 | C2 | semidirect |
| 4. #15667986 | C2 | semidirect |
| 5. #15667937 | C2 | semidirect |
| 6. #15667934 | C2 | semidirect |
| 7. C22⋊C8×C89 | C2 | semidirect |
| 37. D356 | D4 | semidirect |
| 40. Dic178 | D4 | semidirect |
| 64. C89 | #449 | semidirect |
| 72. C22⋊C8 | D89 | semidirect |