Finite Group DatabasebetaFinite Group DatabasebetaOrder 6016.
160 conjugacy classes of subgroups; only the 49 normal subgroups are shown.
This group has 160 conjugacy classes of subgroups — too many to draw. Only its 49 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×#13093969 | C2 | semidirect |
| 2. C2×#13093963 | C2 | semidirect |
| 3. #15689365 | C2 | semidirect |
| 5. #15688926 | C2 | semidirect |
| 6. #15688923 | C2 | semidirect |
| 7. C47×#366 | C2 | semidirect |
| 38. C16×C47 | D4 | semidirect |
| 80. #366 | D47 | semidirect |
| 83. C47 | #2220 | semidirect |
| 115. C16 | D188 | semidirect |