Finite Group DatabasebetaFinite Group DatabasebetaOrder 6848.
144 conjugacy classes of subgroups; only the 43 normal subgroups are shown.
This group has 144 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×#13133807 | C2 | semidirect |
| 2. C2×#13133806 | C2 | semidirect |
| 3. C2×#13133803 | C2 | semidirect |
| 4. #16812105 | C2 | semidirect |
| 5. #16812096 | C2 | semidirect |
| 6. #16812019 | C2 | semidirect |
| 7. C2×D8×C107 | C2 | semidirect |
| 36. C8×C107 | D4 | semidirect |
| 37. C107⋊C8 | D4 | semidirect |
| 54. C107 | #496 | semidirect |
| 59. C2×D8 | D107 | semidirect |
| 92. C8 | C22⋊D107 | semidirect |