Finite Group DatabasebetaFinite Group DatabasebetaOrder 6016.
428 conjugacy classes of subgroups; only the 129 normal subgroups are shown.
This group has 428 conjugacy classes of subgroups — too many to draw. Only its 129 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. C2×Q8×Dic47 | C2 | semidirect |
| 3. #15689442 | C2 | semidirect |
| 4. #15689439 | C2 | semidirect |
| 5. #15689406 | C2 | semidirect |
| 6. #15689321 | C2 | semidirect |
| 7. #15689262 | C2 | semidirect |
| 8. SD16×Dic47 | C2 | semidirect |
| 9. #15689208 | C2 | semidirect |
| 10. #15689173 | C2 | semidirect |
| 11. C47×#448 | C2 | semidirect |
| 87. Q8×C47 | #41 | semidirect |
| 104. C2×Dic47 | SD16 | semidirect |
| 148. #448 | D47 | semidirect |
| 152. C47 | #3103 | semidirect |
| 229. Q8 | #10625352 | semidirect |