Finite Group DatabasebetaFinite Group DatabasebetaOrder 6016.
220 conjugacy classes of subgroups; only the 89 normal subgroups are shown.
This group has 220 conjugacy classes of subgroups — too many to draw. Only its 89 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×#13093964 | C2 | semidirect |
| 2. C2×#13093960 | C2 | semidirect |
| 3. #15688930 | C2 | semidirect |
| 8. C2×C47⋊C16 | C22 | semidirect |
| 10. #13093960 | C22 | semidirect |
| 88. C47 | #2143 | semidirect |