Finite Group DatabasebetaFinite Group DatabasebetaOrder 6016.
292 conjugacy classes of subgroups; only the 83 normal subgroups are shown.
This group has 292 conjugacy classes of subgroups — too many to draw. Only its 83 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×#13093959 | C2 | semidirect |
| 3. C2×#13093951 | C2 | semidirect |
| 4. C2×#13093950 | C2 | semidirect |
| 5. #15689089 | C2 | semidirect |
| 6. C2×#13093934 | C2 | semidirect |
| 7. C47×#408 | C2 | semidirect |
| 11. C2×#10625337 | C4 | semidirect |
| 12. C2×#10625335 | C4 | semidirect |
| 13. C2×#10625336 | C4 | semidirect |
| 14. C2×#10625334 | C4 | semidirect |
| 125. #408 | D47 | semidirect |
| 127. C47 | #1975 | semidirect |