Finite Group DatabasebetaFinite Group DatabasebetaOrder 6016.
384 conjugacy classes of subgroups; only the 123 normal subgroups are shown.
This group has 384 conjugacy classes of subgroups — too many to draw. Only its 123 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. #15689858 | C2 | semidirect |
| 2. #15689505 | C2 | semidirect |
| 4. #15689338 | C2 | semidirect |
| 5. #15689335 | C2 | semidirect |
| 6. #15689323 | C2 | semidirect |
| 7. #15689320 | C2 | semidirect |
| 8. Q8×C47⋊C8 | C2 | semidirect |
| 9. C4×#10625337 | C2 | semidirect |
| 10. C4×#10625334 | C2 | semidirect |
| 11. C47×#559 | C2 | semidirect |
| 129. #559 | D47 | semidirect |
| 139. C47 | #3396 | semidirect |