Finite Group DatabasebetaFinite Group DatabasebetaOrder 6016.
472 conjugacy classes of subgroups; only the 149 normal subgroups are shown.
This group has 472 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. C22×#10625337 | C2 | semidirect |
| 3. #15689502 | C2 | semidirect |
| 4. #15689362 | C2 | semidirect |
| 5. #15689333 | C2 | semidirect |
| 6. #15689330 | C2 | semidirect |
| 7. #15689279 | C2 | semidirect |
| 8. #15689278 | C2 | semidirect |
| 9. C4×#10625337 | C2 | semidirect |
| 71. #10625337 | D4 | direct (N × H) |
| 88. D4×C47 | Q16 | semidirect |
| 113. C22×C47 | C2×Q16 | semidirect |
| 120. C4×C47 | C2×Q16 | semidirect |
| 142. C47 | D4×Q16 | semidirect |
| 224. D4 | #10625337 | direct (N × H) |
| 244. C22 | C2×#10625337 | semidirect |
| 254. C4 | C2×#10625337 | semidirect |