Finite Group DatabasebetaFinite Group DatabasebetaOrder 6016.
472 conjugacy classes of subgroups; only the 133 normal subgroups are shown.
This group has 472 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. C2×#13094053 | C2 | semidirect |
| 2. Q8×D188 | C2 | semidirect |
| 4. #15689503 | C2 | semidirect |
| 5. #15689382 | C2 | semidirect |
| 6. #15689333 | C2 | semidirect |
| 7. #15689328 | C2 | semidirect |
| 8. #15689286 | C2 | semidirect |
| 9. #15689280 | C2 | semidirect |
| 10. #15689202 | C2 | semidirect |
| 11. C4×SD16×C47 | C2 | semidirect |
| 57. SD16×C47 | D4 | semidirect |
| 123. C4×C47 | #137 | semidirect |
| 144. C4×SD16 | D47 | semidirect |
| 146. C47 | #3276 | semidirect |
| 196. SD16 | D188 | semidirect |
| 261. C4 | #13094053 | semidirect |