Finite Group DatabasebetaFinite Group DatabasebetaOrder 6016.
420 conjugacy classes of subgroups; only the 125 normal subgroups are shown.
This group has 420 conjugacy classes of subgroups — too many to draw. Only its 125 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. Q8×D188 | C2 | semidirect |
| 3. #15689474 | C2 | semidirect |
| 4. #15689455 | C2 | semidirect |
| 5. #15689408 | C2 | semidirect |
| 6. #15689351 | C2 | semidirect |
| 7. #15689328 | C2 | semidirect |
| 8. #15689260 | C2 | semidirect |
| 9. C8×D188 | C2 | semidirect |
| 10. #103×D47 | C2 | semidirect |
| 11. C4×SD16×C47 | C2 | semidirect |
| 80. Q8×C47 | #41 | semidirect |
| 94. D188 | SD16 | semidirect |
| 137. C4×SD16 | D47 | semidirect |
| 140. C47 | #3298 | semidirect |
| 213. Q8 | #10625350 | semidirect |