Finite Group DatabasebetaFinite Group DatabasebetaOrder 6848.
186 conjugacy classes of subgroups; only the 53 normal subgroups are shown.
This group has 186 conjugacy classes of subgroups — too many to draw. Only its 53 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 |
|---|---|---|
| 2. M16×D107 | C2 | semidirect |
| 3. #16812026 | C2 | semidirect |
| 4. #16812025 | C2 | semidirect |
| 5. #100×C107 | C2 | semidirect |
| 12. #13133802 | C22 | semidirect |
| 16. M16×C107 | C22 | semidirect |
| 49. D107 | #100 | direct (N × H) |
| 50. C107 | C2×#100 | semidirect |
| 56. #100 | D107 | direct (N × H) |
| 66. M16 | C2×D107 | semidirect |