Finite Group DatabasebetaFinite Group DatabasebetaOrder 6016.
424 conjugacy classes of subgroups; only the 133 normal subgroups are shown.
This group has 424 conjugacy classes of subgroups — too many to draw. Only its 133 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. #15689436 | C2 | semidirect |
| 3. #15689418 | C2 | semidirect |
| 4. #15689323 | C2 | semidirect |
| 5. #15689262 | C2 | semidirect |
| 6. #15689221 | C2 | semidirect |
| 7. #15689180 | C2 | semidirect |
| 8. C2×C4×Q8×C47 | C2 | semidirect |
| 68. Q8×C47 | #41 | semidirect |
| 113. C2×C4×Q8 | D47 | semidirect |
| 120. C47 | #3112 | semidirect |
| 181. Q8 | #10625350 | semidirect |