Finite Group DatabasebetaFinite Group DatabasebetaOrder 6016.
374 conjugacy classes of subgroups; only the 133 normal subgroups are shown.
This group has 374 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 |
|---|---|---|
| 1. Q8×D188 | C2 | semidirect |
| 2. #15689533 | C2 | semidirect |
| 3. #15689519 | C2 | semidirect |
| 4. #15689420 | C2 | semidirect |
| 5. #15689413 | C2 | semidirect |
| 6. #15689410 | C2 | semidirect |
| 7. #15689403 | C2 | semidirect |
| 8. #15689254 | C2 | semidirect |
| 11. C47×#554 | C2 | semidirect |
| 63. #10625334 | Q8 | semidirect |
| 78. D4×C47 | C2×Q8 | semidirect |
| 98. C47⋊C8 | C2×Q8 | semidirect |
| 122. #554 | D47 | semidirect |
| 133. C47 | #3384 | semidirect |
| 204. D4 | Q8×D47 | semidirect |