Finite Group DatabasebetaFinite Group DatabasebetaOrder 6016.
344 conjugacy classes of subgroups; only the 75 normal subgroups are shown.
This group has 344 conjugacy classes of subgroups — too many to draw. Only its 75 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. #15689175 | C2 | semidirect |
| 3. #15689145 | C2 | semidirect |
| 4. #15688867 | C2 | semidirect |
| 5. #15688866 | C2 | semidirect |
| 6. #15688866 | C2 | semidirect |
| 7. C47×#331 | C2 | semidirect |
| 17. C4⋊(C47⋊C8) | C22 | semidirect |
| 18. C4⋊(C47⋊C8) | C22 | semidirect |
| 23. C4⋊C8×C47 | C22 | semidirect |
| 24. C4⋊C8×C47 | C22 | semidirect |
| 118. #331 | D47 | semidirect |
| 119. C47 | #1545 | semidirect |
| 133. C4⋊C8 | C2×D47 | semidirect |
| 134. C4⋊C8 | C2×D47 | semidirect |