Finite Group DatabasebetaFinite Group DatabasebetaOrder 6016.
456 conjugacy classes of subgroups; only the 129 normal subgroups are shown.
This group has 456 conjugacy classes of subgroups — too many to draw. Only its 129 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. #15689668 | C2 | semidirect |
| 2. #15689527 | C2 | semidirect |
| 3. #15689498 | C2 | semidirect |
| 4. #15689468 | C2 | semidirect |
| 5. #15689359 | C2 | semidirect |
| 6. #15689357 | C2 | semidirect |
| 7. D8×Dic47 | C2 | semidirect |
| 8. #15689205 | C2 | semidirect |
| 9. #15689203 | C2 | semidirect |
| 10. C2×C8×Dic47 | C2 | semidirect |
| 11. C47×#466 | C2 | semidirect |
| 89. C2×Dic47 | D8 | semidirect |
| 99. C8×C47 | #41 | semidirect |
| 101. C47⋊C8 | #41 | semidirect |
| 134. #466 | D47 | semidirect |
| 139. C47 | #3169 | semidirect |
| 229. C8 | #10625352 | semidirect |