Finite Group DatabasebetaFinite Group DatabasebetaOrder 6016.
412 conjugacy classes of subgroups; only the 99 normal subgroups are shown.
This group has 412 conjugacy classes of subgroups — too many to draw. Only its 99 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. C2×#13093945 | C2 | semidirect |
| 4. C2×#13093944 | C2 | semidirect |
| 5. C2×#13093934 | C2 | semidirect |
| 6. #15688988 | C2 | semidirect |
| 7. C2×#102×C47 | C2 | semidirect |
| 12. #13094020 | C4 | semidirect |
| 47. C2×C8×C47 | D4 | semidirect |
| 56. C2×C47⋊C8 | D4 | semidirect |
| 126. C2×#102 | D47 | semidirect |
| 129. C47 | #1961 | semidirect |
| 172. C2×C8 | C22⋊D47 | semidirect |