Finite Group DatabasebetaFinite Group DatabasebetaOrder 6848.
128 conjugacy classes of subgroups; only the 41 normal subgroups are shown.
This group has 128 conjugacy classes of subgroups — too many to draw. Only its 41 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×#13133807 | C2 | semidirect |
| 2. C2×#13133806 | C2 | semidirect |
| 4. #16812074 | C2 | semidirect |
| 5. Dic107⋊C8 | C2 | semidirect |
| 6. #16812029 | C2 | semidirect |
| 7. #102×C107 | C2 | semidirect |
| 35. Dic214 | D4 | semidirect |
| 50. Dic107 | SD16 | semidirect |
| 56. C107 | #460 | semidirect |
| 64. #102 | D107 | semidirect |