Finite Group DatabasebetaFinite Group DatabasebetaOrder 6848.
258 conjugacy classes of subgroups; only the 103 normal subgroups are shown.
This group has 258 conjugacy classes of subgroups — too many to draw. Only its 103 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×Q8×D107 | C2 | semidirect |
| 3. #16812141 | C2 | direct (N × H) |
| 4. C2×#13133808 | C2 | semidirect |
| 5. C2×#13133807 | C2 | semidirect |
| 6. C2×#13133805 | C2 | semidirect |
| 7. C2×#13133801 | C2 | semidirect |
| 8. C2×Q16×C107 | C2 | semidirect |
| 14. Q8×D107 | C22 | semidirect |
| 20. #13133808 | C22 | semidirect |
| 21. #13133807 | C22 | semidirect |
| 22. #13133805 | C22 | semidirect |
| 23. #13133801 | C22 | semidirect |
| 27. Q16×C107 | C22 | semidirect |
| 63. C2×C107 | #137 | semidirect |
| 67. C107 | C2×#137 | semidirect |
| 73. C2×Q16 | D107 | semidirect |
| 91. Q16 | C2×D107 | semidirect |
| 133. C2 | #16812141 | direct (N × H) |