Finite Group DatabasebetaFinite Group DatabasebetaOrder 6016.
412 conjugacy classes of subgroups; only the 109 normal subgroups are shown.
This group has 412 conjugacy classes of subgroups — too many to draw. Only its 109 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. C2×#13093946 | C2 | semidirect |
| 3. #15688983 | C2 | semidirect |
| 4. #15688886 | C2 | semidirect |
| 5. C22×M16×C47 | C2 | semidirect |
| 9. #13093998 | C4 | semidirect |
| 39. C2×C8×C47 | D4 | semidirect |
| 105. C22×M16 | D47 | semidirect |
| 110. C47 | #1895 | semidirect |
| 144. C2×C8 | C22⋊D47 | semidirect |