Finite Group DatabasebetaFinite Group DatabasebetaOrder 6848.
122 conjugacy classes of subgroups; only the 55 normal subgroups are shown.
This group has 122 conjugacy classes of subgroups — too many to draw. Only its 55 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. C4×Dic214 | C2 | semidirect |
| 4. #16812041 | C2 | semidirect |
| 5. #16812034 | C2 | semidirect |
| 7. C4×C8×C107 | C2 | semidirect |
| 11. #13133807 | C4 | direct (N × H) |
| 31. Dic214 | C2×C4 | semidirect |
| 33. C8×C107 | C2×C4 | semidirect |
| 39. C4×C107 | SD16 | semidirect |
| 49. C107 | C4×SD16 | semidirect |
| 57. C4×C8 | D107 | semidirect |
| 83. C8 | C4×D107 | semidirect |
| 92. C4 | #13133807 | direct (N × H) |