Finite Group DatabasebetaFinite Group DatabasebetaOrder 6976.
154 conjugacy classes of subgroups; only the 48 normal subgroups are shown.
This group has 154 conjugacy classes of subgroups — too many to draw. Only its 48 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. D109⋊M16 | C2 | semidirect |
| 2. #16812778 | C2 | semidirect |
| 3. #16812764 | C2 | semidirect |
| 5. #13182039 | C22 | semidirect |
| 10. C4×#89137 | C22 | semidirect |
| 13. #13182030 | C4 | semidirect |
| 16. C2×D436 | C4 | semidirect |
| 19. C2×Q8×C109 | C4 | semidirect |
| 56. C109 | #421 | semidirect |
| 66. C2×Q8 | #89137 | semidirect |