Finite Group DatabasebetaFinite Group DatabasebetaOrder 6016.
256 conjugacy classes of subgroups; only the 87 normal subgroups are shown.
This group has 256 conjugacy classes of subgroups — too many to draw. Only its 87 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 |
|---|---|---|
| 4. #15688870 | C2 | semidirect |
| 5. #15688869 | C2 | semidirect |
| 6. #15688868 | C2 | semidirect |
| 7. C47×#332 | C2 | semidirect |
| 92. D47 | #332 | direct (N × H) |
| 99. #332 | D47 | direct (N × H) |
| 100. C47 | C2×#332 | semidirect |