Finite Group DatabasebetaFinite Group DatabasebetaOrder 6016.
420 conjugacy classes of subgroups; only the 141 normal subgroups are shown.
This group has 420 conjugacy classes of subgroups — too many to draw. Only its 141 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. #15689777 | C2 | semidirect |
| 2. #15689528 | C2 | semidirect |
| 3. #15689437 | C2 | semidirect |
| 4. #15689404 | C2 | semidirect |
| 5. #15689359 | C2 | semidirect |
| 6. C4×D376 | C2 | semidirect |
| 7. C2×#13093958 | C2 | semidirect |
| 8. C8×D4×C47 | C2 | semidirect |
| 52. D4×C47 | D8 | semidirect |
| 69. C8×C47 | #41 | semidirect |
| 96. C8×D4 | D47 | semidirect |
| 98. C47 | #3334 | semidirect |
| 146. D4 | D376 | semidirect |
| 159. C8 | #10625352 | semidirect |