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×#13094055 | C2 | semidirect |
| 3. #15689502 | C2 | semidirect |
| 4. #15689379 | C2 | semidirect |
| 5. #15689333 | C2 | semidirect |
| 6. #15689325 | C2 | semidirect |
| 7. #15689283 | C2 | semidirect |
| 8. #15689279 | C2 | semidirect |
| 9. C4×#10625336 | C2 | semidirect |
| 10. #15689201 | C2 | semidirect |
| 11. D4×Q8×C47 | C2 | semidirect |
| 72. #10625336 | D4 | semidirect |
| 124. C4×C47 | #137 | semidirect |
| 136. D4×Q8 | D47 | semidirect |
| 146. C47 | #3276 | semidirect |
| 261. C4 | #13094055 | semidirect |