Finite Group DatabasebetaFinite Group DatabasebetaOrder 6976.
124 conjugacy classes of subgroups; only the 41 normal subgroups are shown.
This group has 124 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 |
|---|---|---|
| 1. C2×#13182016 | C2 | semidirect |
| 2. C2×C8×D109 | C2 | semidirect |
| 3. #16812675 | C2 | semidirect |
| 5. #16812630 | C2 | semidirect |
| 6. #16812621 | C2 | semidirect |
| 7. #103×C109 | C2 | semidirect |
| 36. #11724784 | D4 | semidirect |
| 43. C2×D109 | SD16 | semidirect |
| 55. C109 | #465 | semidirect |
| 62. #103 | D109 | semidirect |