Finite Group DatabasebetaFinite Group DatabasebetaOrder 6016.
142 conjugacy classes of subgroups; only the 49 normal subgroups are shown.
This group has 142 conjugacy classes of subgroups — too many to draw. Only its 49 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. #15689161 | C2 | semidirect |
| 3. #15688951 | C2 | semidirect |
| 4. #15688949 | C2 | semidirect |
| 5. #15688925 | C2 | semidirect |
| 6. #15688925 | C2 | semidirect |
| 7. C47×C22⋊C16 | C2 | semidirect |
| 76. C22⋊C16 | D47 | semidirect |
| 77. C47 | #2234 | semidirect |