Finite Group DatabasebetaFinite Group DatabasebetaOrder 6016.
168 conjugacy classes of subgroups; only the 67 normal subgroups are shown.
This group has 168 conjugacy classes of subgroups — too many to draw. Only its 67 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 |
|---|---|---|
| 3. #15688873 | C2 | semidirect |
| 4. Q8⋊(C47⋊C8) | C2 | semidirect |
| 6. #15688844 | C2 | semidirect |
| 7. C47×#446 | C2 | semidirect |
| 56. C8×C47 | SD16 | semidirect |
| 78. #446 | D47 | semidirect |
| 85. C47 | #1582 | semidirect |
| 138. C8 | #10625336 | semidirect |