Finite Group DatabasebetaFinite Group DatabasebetaOrder 6016.
420 conjugacy classes of subgroups; only the 139 normal subgroups are shown.
This group has 420 conjugacy classes of subgroups — too many to draw. Only its 139 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. D4×Dic94 | C2 | semidirect |
| 2. #15689475 | C2 | semidirect |
| 3. #15689453 | C2 | semidirect |
| 4. #15689405 | C2 | semidirect |
| 5. #15689350 | C2 | semidirect |
| 6. #15689328 | C2 | semidirect |
| 7. #15689261 | C2 | semidirect |
| 8. C4×#10625335 | C2 | semidirect |
| 9. D4×C47⋊C8 | C2 | semidirect |
| 10. C2×#13093947 | C2 | semidirect |
| 83. D4×C47 | SD16 | semidirect |
| 102. Dic94 | #41 | semidirect |
| 140. C47 | #3298 | semidirect |
| 217. D4 | #10625335 | semidirect |