Finite Group DatabasebetaFinite Group DatabasebetaOrder 6016.
402 conjugacy classes of subgroups; only the 101 normal subgroups are shown.
This group has 402 conjugacy classes of subgroups — too many to draw. Only its 101 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 |
|---|---|---|
| 3. C2×#13093947 | C2 | semidirect |
| 5. #15689028 | C2 | semidirect |
| 6. #15688877 | C2 | semidirect |
| 7. C47×#340 | C2 | semidirect |
| 13. C2×#10625325 | C4 | semidirect |
| 47. C2×Dic94 | C2×C4 | semidirect |
| 50. C2×C8×C47 | C2×C4 | semidirect |
| 90. C2×Dic47 | SD16 | semidirect |
| 139. #340 | D47 | semidirect |
| 141. C47 | #1877 | semidirect |
| 188. C2×C8 | C4×D47 | semidirect |