Finite Group DatabasebetaFinite Group DatabasebetaOrder 6016.
412 conjugacy classes of subgroups; only the 149 normal subgroups are shown.
This group has 412 conjugacy classes of subgroups — too many to draw. Only its 149 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. #15689680 | C2 | semidirect |
| 3. #15689521 | C2 | semidirect |
| 4. #15689496 | C2 | semidirect |
| 5. #15689474 | C2 | semidirect |
| 6. #15689470 | C2 | semidirect |
| 7. #15689352 | C2 | semidirect |
| 8. C4×#10625325 | C2 | semidirect |
| 9. C2×C4×C8×C47 | C2 | semidirect |
| 71. C2×C4×C47 | SD16 | semidirect |
| 90. C8×C47 | #41 | semidirect |
| 121. C2×C4×C8 | D47 | semidirect |
| 122. C47 | #3167 | semidirect |
| 195. C2×C4 | #10625325 | semidirect |
| 203. C8 | #10625350 | semidirect |