Finite Group DatabasebetaFinite Group DatabasebetaOrder 6016.
500 conjugacy classes of subgroups; only the 141 normal subgroups are shown.
This group has 500 conjugacy classes of subgroups — too many to draw. Only its 141 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×#13094054 | C2 | semidirect |
| 2. C2×#13094011 | C2 | semidirect |
| 3. #41×Dic47 | C2 | semidirect |
| 4. #15689343 | C2 | semidirect |
| 5. #15689336 | C2 | semidirect |
| 6. #15689146 | C2 | semidirect |
| 7. #15689133 | C2 | semidirect |
| 8. #15689128 | C2 | semidirect |
| 12. C2×#10625337 | C22 | semidirect |
| 13. C2×#10625335 | C22 | semidirect |
| 18. Q8×Dic47 | C22 | semidirect |
| 20. D4×Dic47 | C22 | semidirect |
| 26. Dic47⋊C8 | C22 | semidirect |
| 27. #13093949 | C22 | semidirect |
| 135. C47 | #3040 | semidirect |