Finite Group DatabasebetaFinite Group DatabasebetaOrder 6016.
160 conjugacy classes of subgroups; only the 57 normal subgroups are shown.
This group has 160 conjugacy classes of subgroups — too many to draw. Only its 57 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 |
|---|---|---|
| 2. Q16×Dic47 | C2 | semidirect |
| 4. #15688948 | C2 | semidirect |
| 6. #15688898 | C2 | semidirect |
| 7. C47×#358 | C2 | semidirect |
| 11. #13093967 | C4 | semidirect |
| 24. Q16×C47 | C2×C4 | semidirect |
| 36. C47⋊C16 | C2×C4 | semidirect |
| 72. #358 | D47 | semidirect |
| 75. C47 | #2175 | semidirect |
| 92. Q16 | C4×D47 | semidirect |