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. Q8×D188 | C2 | semidirect |
| 2. #15689482 | C2 | semidirect |
| 3. #15689469 | C2 | semidirect |
| 4. #15689413 | C2 | semidirect |
| 5. #15689408 | C2 | semidirect |
| 6. #15689335 | C2 | semidirect |
| 8. #15689254 | C2 | semidirect |
| 9. #15689233 | C2 | semidirect |
| 10. C4×#10625336 | C2 | semidirect |
| 11. C47×#559 | C2 | semidirect |
| 125. #559 | D47 | semidirect |
| 136. C47 | #3373 | semidirect |