Finite Group DatabasebetaFinite Group DatabasebetaOrder 6016.
284 conjugacy classes of subgroups; only the 89 normal subgroups are shown.
This group has 284 conjugacy classes of subgroups — too many to draw. Only its 89 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. #15689176 | C2 | semidirect |
| 3. #15688856 | C2 | semidirect |
| 4. C4×C4⋊C4×C47 | C2 | semidirect |
| 6. #13094024 | C4 | semidirect |
| 7. #13094021 | C4 | semidirect |
| 12. C4×D188 | C4 | semidirect |
| 92. C4×C4⋊C4 | D47 | semidirect |
| 94. C47 | #1502 | semidirect |