Finite Group DatabasebetaFinite Group DatabasebetaOrder 6848.
130 conjugacy classes of subgroups; only the 41 normal subgroups are shown.
This group has 130 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×#13133803 | C2 | semidirect |
| 2. C2×#13133802 | C2 | semidirect |
| 3. #16812083 | C2 | semidirect |
| 4. #16812040 | C2 | semidirect |
| 5. #16812030 | C2 | semidirect |
| 6. #16812029 | C2 | semidirect |
| 7. #121×C107 | C2 | semidirect |
| 37. C107⋊C8 | D4 | semidirect |
| 59. C107 | #469 | semidirect |
| 64. #121 | D107 | semidirect |