Finite Group DatabasebetaFinite Group DatabasebetaOrder 6016.
494 conjugacy classes of subgroups; only the 133 normal subgroups are shown.
This group has 494 conjugacy classes of subgroups — too many to draw. Only its 133 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. C2×#13094046 | C2 | semidirect |
| 2. #15689794 | C2 | semidirect |
| 3. #15689778 | C2 | semidirect |
| 4. #15689496 | C2 | semidirect |
| 5. #15689352 | C2 | semidirect |
| 6. #15689334 | C2 | semidirect |
| 7. #15689319 | C2 | semidirect |
| 8. #15689287 | C2 | semidirect |
| 9. #15689270 | C2 | semidirect |
| 10. C4×#10625325 | C2 | semidirect |
| 11. C8×D4×C47 | C2 | semidirect |
| 81. #10625325 | D4 | semidirect |
| 127. C4×C47 | #135 | semidirect |
| 151. C8×D4 | D47 | semidirect |
| 152. C47 | #3284 | semidirect |
| 272. C4 | #13094046 | semidirect |