Finite Group DatabasebetaFinite Group DatabasebetaOrder 6848.
152 conjugacy classes of subgroups; only the 43 normal subgroups are shown.
This group has 152 conjugacy classes of subgroups — too many to draw. Only its 43 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. C2×#13133808 | C2 | semidirect |
| 3. #16812085 | C2 | semidirect |
| 4. #16812034 | C2 | semidirect |
| 5. #16812030 | C2 | semidirect |
| 6. (C2×D107)⋊C8 | C2 | semidirect |
| 7. C2×SD16×C107 | C2 | semidirect |
| 60. C107 | #452 | semidirect |
| 64. C2×SD16 | D107 | semidirect |