Finite Group DatabasebetaFinite Group DatabasebetaOrder 6848.
188 conjugacy classes of subgroups; only the 45 normal subgroups are shown.
This group has 188 conjugacy classes of subgroups — too many to draw. Only its 45 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×#13133807 | C2 | semidirect |
| 3. C2×#13133806 | C2 | semidirect |
| 4. #16812089 | C2 | semidirect |
| 5. #16812029 | C2 | semidirect |
| 6. (C2×D107)⋊C8 | C2 | semidirect |
| 7. #102×C107 | C2 | semidirect |
| 9. C2×Dic214 | C22 | semidirect |
| 17. C2×C107⋊C8 | C22 | semidirect |
| 21. C2×C8×C107 | C22 | semidirect |
| 22. C4⋊C4×C107 | C22 | semidirect |
| 54. C2×D107 | SD16 | semidirect |
| 66. C107 | #450 | semidirect |
| 73. #102 | D107 | semidirect |
| 86. C2×C8 | C2×D107 | semidirect |
| 88. C4⋊C4 | C2×D107 | semidirect |