Finite Group DatabasebetaFinite Group DatabasebetaOrder 6976.
202 conjugacy classes of subgroups; only the 60 normal subgroups are shown.
This group has 202 conjugacy classes of subgroups — too many to draw. Only its 60 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×D109⋊C8 | C2 | semidirect |
| 2. C2×C4⋊#89137 | C2 | semidirect |
| 3. #16812761 | C2 | direct (N × H) |
| 7. D109⋊C8 | C22 | semidirect |
| 10. C4⋊#89137 | C22 | semidirect |
| 12. C2×D436 | C4 | semidirect |
| 16. D4×D109 | C4 | semidirect |
| 19. C2×D4×C109 | C4 | semidirect |
| 30. D4×C109 | C2×C4 | semidirect |
| 36. D436 | C2×C4 | semidirect |
| 60. C2×C109 | #102 | semidirect |
| 63. D109 | #102 | semidirect |
| 66. C109 | C2×#102 | semidirect |
| 79. C2×D4 | #89137 | semidirect |
| 99. D4 | C2×#89137 | semidirect |
| 131. C2 | #16812761 | direct (N × H) |