Finite Group DatabasebetaFinite Group DatabasebetaOrder 6016.
480 conjugacy classes of subgroups; only the 197 normal subgroups are shown.
This group has 480 conjugacy classes of subgroups — too many to draw. Only its 197 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 |
|---|---|---|
| 4. #15689227 | C2 | direct (N × H) |
| 10. C2×#10625337 | C4 | semidirect |
| 49. #10625337 | C2×C4 | semidirect |
| 99. C2×C47 | #441 | semidirect |
| 111. C47 | C2×#441 | semidirect |
| 201. C2 | #15689227 | direct (N × H) |