Finite Group DatabasebetaFinite Group DatabasebetaOrder 6016.
382 conjugacy classes of subgroups; only the 125 normal subgroups are shown.
This group has 382 conjugacy classes of subgroups — too many to draw. Only its 125 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. #15689489 | C2 | semidirect |
| 3. #15689471 | C2 | semidirect |
| 4. #15689420 | C2 | semidirect |
| 5. #15689400 | C2 | semidirect |
| 6. #15689323 | C2 | semidirect |
| 7. #15689323 | C2 | semidirect |
| 8. #15689254 | C2 | semidirect |
| 9. #15689221 | C2 | semidirect |
| 10. C4×#10625336 | C2 | semidirect |
| 11. C47×#557 | C2 | semidirect |
| 79. Q8×C47 | #41 | semidirect |
| 125. #557 | D47 | semidirect |
| 136. C47 | #3368 | semidirect |
| 204. Q8 | #10625354 | semidirect |