Finite Group DatabasebetaFinite Group DatabasebetaOrder 6016.
426 conjugacy classes of subgroups; only the 125 normal subgroups are shown.
This group has 426 conjugacy classes of subgroups — too many to draw. Only its 125 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. #15689794 | C2 | semidirect |
| 2. D4×Dic94 | C2 | semidirect |
| 3. #15689470 | C2 | semidirect |
| 4. #15689468 | C2 | semidirect |
| 5. #15689403 | C2 | semidirect |
| 6. #15689402 | C2 | semidirect |
| 7. #15689318 | C2 | semidirect |
| 8. #15689316 | C2 | semidirect |
| 9. C8×Dic94 | C2 | semidirect |
| 10. #15689203 | C2 | semidirect |
| 11. C4×D8×C47 | C2 | semidirect |
| 81. D4×C47 | #41 | semidirect |
| 102. Dic94 | D8 | semidirect |
| 142. C4×D8 | D47 | semidirect |
| 143. C47 | #3358 | semidirect |
| 222. D4 | #10625350 | semidirect |