Finite Group DatabasebetaFinite Group DatabasebetaOrder 6016.
246 conjugacy classes of subgroups; only the 71 normal subgroups are shown.
This group has 246 conjugacy classes of subgroups — too many to draw. Only its 71 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. #15689179 | C2 | semidirect |
| 3. #15689174 | C2 | semidirect |
| 4. Q8⋊(C47⋊C8) | C2 | semidirect |
| 5. #15688852 | C2 | semidirect |
| 6. #15688850 | C2 | semidirect |
| 7. C47×Q8⋊C8 | C2 | semidirect |
| 113. Q8⋊C8 | D47 | semidirect |
| 116. C47 | #1488 | semidirect |