Finite Group DatabasebetaFinite Group DatabasebetaOrder 6848.
162 conjugacy classes of subgroups; only the 43 normal subgroups are shown.
This group has 162 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 |
|---|---|---|
| 1. C2×#13133819 | C2 | semidirect |
| 2. C2×#13133805 | C2 | semidirect |
| 3. C2×D856 | C2 | semidirect |
| 4. #16812084 | C2 | semidirect |
| 5. #16812029 | C2 | semidirect |
| 6. (C2×D107)⋊C8 | C2 | semidirect |
| 7. #103×C107 | C2 | semidirect |
| 27. Q8×C107 | D4 | semidirect |
| 37. D428 | D4 | semidirect |
| 64. C107 | #449 | semidirect |
| 70. #103 | D107 | semidirect |
| 92. Q8 | D428 | semidirect |