Finite Group DatabasebetaFinite Group DatabasebetaOrder 6016.
420 conjugacy classes of subgroups; only the 141 normal subgroups are shown.
This group has 420 conjugacy classes of subgroups — too many to draw. Only its 141 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. #15689473 | C2 | semidirect |
| 3. #15689451 | C2 | semidirect |
| 4. #15689408 | C2 | semidirect |
| 5. #15689354 | C2 | semidirect |
| 6. #15689325 | C2 | semidirect |
| 7. #15689262 | C2 | semidirect |
| 8. C4×#10625336 | C2 | semidirect |
| 9. D4×C47⋊C8 | C2 | semidirect |
| 10. C2×#13093948 | C2 | semidirect |
| 11. D4×Q8×C47 | C2 | semidirect |
| 83. Q8×C47 | #41 | semidirect |
| 84. D4×C47 | SD16 | semidirect |
| 129. D4×Q8 | D47 | semidirect |
| 140. C47 | #3298 | semidirect |
| 213. Q8 | #10625352 | semidirect |
| 217. D4 | #10625336 | semidirect |