Finite Group DatabasebetaFinite Group DatabasebetaOrder 6848.
122 conjugacy classes of subgroups; only the 59 normal subgroups are shown.
This group has 122 conjugacy classes of subgroups — too many to draw. Only its 59 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. Q8×Dic107 | C2 | semidirect |
| 3. #16812041 | C2 | semidirect |
| 4. #16812033 | C2 | semidirect |
| 6. C8×Dic107 | C2 | semidirect |
| 18. SD16×C107 | C4 | semidirect |
| 22. Q8×C107 | C2×C4 | semidirect |
| 32. C8×C107 | C2×C4 | semidirect |
| 44. Dic107 | SD16 | direct (N × H) |
| 49. C107 | C4×SD16 | semidirect |
| 61. SD16 | Dic107 | direct (N × H) |
| 72. Q8 | C2×Dic107 | semidirect |
| 83. C8 | C2×Dic107 | semidirect |