Finite Group DatabasebetaFinite Group DatabasebetaOrder 6016.
372 conjugacy classes of subgroups; only the 123 normal subgroups are shown.
This group has 372 conjugacy classes of subgroups — too many to draw. Only its 123 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. #15689858 | C2 | semidirect |
| 2. #15689505 | C2 | semidirect |
| 3. #15689497 | C2 | semidirect |
| 4. #15689345 | C2 | semidirect |
| 5. #15689335 | C2 | semidirect |
| 6. #15689330 | C2 | semidirect |
| 8. Q8×C47⋊C8 | C2 | semidirect |
| 9. C4×#10625336 | C2 | semidirect |
| 10. C4×#10625335 | C2 | semidirect |
| 11. C47×#556 | C2 | semidirect |
| 127. #556 | D47 | semidirect |
| 137. C47 | #3394 | semidirect |