Finite Group DatabasebetaFinite Group DatabasebetaOrder 6016.
404 conjugacy classes of subgroups; only the 149 normal subgroups are shown.
This group has 404 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. Q8×D188 | C2 | semidirect |
| 2. #15689526 | C2 | semidirect |
| 3. #15689403 | C2 | semidirect |
| 4. #15689400 | C2 | semidirect |
| 5. Q8×C47⋊C8 | C2 | semidirect |
| 7. D4×Q8×C47 | C2 | semidirect |
| 38. #10625334 | Q8 | direct (N × H) |
| 47. Q8×C47 | D8 | semidirect |
| 49. D4×C47 | C2×Q8 | semidirect |
| 57. D188 | C2×Q8 | semidirect |
| 61. C47⋊C8 | C2×Q8 | semidirect |
| 82. D4×Q8 | D47 | semidirect |
| 88. C47 | Q8×D8 | semidirect |
| 129. Q8 | #10625334 | direct (N × H) |
| 133. D4 | Q8×D47 | semidirect |