Finite Group DatabasebetaFinite Group DatabasebetaOrder 6016.
504 conjugacy classes of subgroups; only the 133 normal subgroups are shown.
This group has 504 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×#13094047 | C2 | semidirect |
| 2. #15689795 | C2 | semidirect |
| 3. #15689500 | C2 | semidirect |
| 4. #15689360 | C2 | semidirect |
| 5. #15689323 | C2 | semidirect |
| 6. #15689271 | C2 | semidirect |
| 7. C8×D188 | C2 | semidirect |
| 8. C4×Q16×C47 | C2 | semidirect |
| 40. Q16×C47 | D4 | semidirect |
| 88. C4×C47 | #135 | semidirect |
| 104. C4×Q16 | D47 | semidirect |
| 106. C47 | #3287 | semidirect |
| 138. Q16 | D188 | semidirect |
| 187. C4 | #13094047 | semidirect |