Finite Group DatabasebetaFinite Group DatabasebetaOrder 6848.
124 conjugacy classes of subgroups; only the 41 normal subgroups are shown.
This group has 124 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×#13133805 | C2 | semidirect |
| 3. C4×D428 | C2 | semidirect |
| 4. C4⋊(C107⋊C8) | C2 | semidirect |
| 5. #16812033 | C2 | semidirect |
| 6. #16812030 | C2 | semidirect |
| 7. #124×C107 | C2 | semidirect |
| 55. C107 | #463 | semidirect |
| 59. #124 | D107 | semidirect |