Finite Group DatabasebetaFinite Group DatabasebetaOrder 6016.
412 conjugacy classes of subgroups; only the 105 normal subgroups are shown.
This group has 412 conjugacy classes of subgroups — too many to draw. Only its 105 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. C22×#10625329 | C2 | semidirect |
| 3. C2×#13093944 | C2 | semidirect |
| 4. #15688885 | C2 | semidirect |
| 5. C47×#380 | C2 | semidirect |
| 12. #13093998 | C4 | semidirect |
| 45. C2×C47⋊C8 | D4 | semidirect |
| 108. #380 | D47 | semidirect |
| 110. C47 | #1895 | semidirect |