Finite Group DatabasebetaFinite Group DatabasebetaOrder 6976.
210 conjugacy classes of subgroups; only the 50 normal subgroups are shown.
This group has 210 conjugacy classes of subgroups — too many to draw. Only its 50 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×C22⋊#89137 | C2 | semidirect |
| 2. #16812758 | C2 | semidirect |
| 3. #16812757 | C2 | semidirect |
| 7. C22⋊#89137 | C22 | semidirect |
| 8. C23×D109 | C4 | semidirect |
| 11. C2×C22⋊D109 | C4 | semidirect |
| 15. C2×C4×D109 | C4 | semidirect |
| 16. C2×D4×C109 | C4 | semidirect |
| 18. C23×C109 | C2×C4 | semidirect |
| 24. C22×D109 | C2×C4 | semidirect |
| 31. C2×C4×C109 | C2×C4 | semidirect |
| 34. C2×Dic109 | C2×C4 | semidirect |
| 64. D109 | #99 | semidirect |
| 65. C109 | C2×#99 | semidirect |
| 78. C2×D4 | #89137 | semidirect |
| 93. C23 | C2×#89137 | semidirect |
| 103. C2×C4 | C2×#89137 | semidirect |