Finite Group DatabasebetaFinite Group DatabasebetaOrder 6848.
162 conjugacy classes of subgroups; only the 55 normal subgroups are shown.
This group has 162 conjugacy classes of subgroups — too many to draw. Only its 55 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×#13133801 | C2 | semidirect |
| 3. C4⋊C4×D107 | C2 | semidirect |
| 4. #16812033 | C2 | semidirect |
| 5. #16812031 | C2 | semidirect |
| 6. #16812029 | C2 | semidirect |
| 7. #103×C107 | C2 | semidirect |
| 9. #13133819 | C4 | semidirect |
| 25. Q8×C107 | C2×C4 | semidirect |
| 33. D428 | C2×C4 | semidirect |
| 58. C107 | #417 | semidirect |
| 64. #103 | D107 | semidirect |
| 84. Q8 | C4×D107 | semidirect |