Finite Group DatabasebetaFinite Group DatabasebetaOrder 6016.
442 conjugacy classes of subgroups; only the 87 normal subgroups are shown.
This group has 442 conjugacy classes of subgroups — too many to draw. Only its 87 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×C42×D47 | C2 | semidirect |
| 3. C2×#13093951 | C2 | semidirect |
| 4. #15689086 | C2 | semidirect |
| 5. #15688884 | C2 | semidirect |
| 6. #15688883 | C2 | semidirect |
| 7. C2×#104×C47 | C2 | semidirect |
| 12. #13094000 | C4 | semidirect |
| 13. #13093995 | C4 | semidirect |
| 32. C2×Q8×C47 | C2×C4 | semidirect |
| 34. C2×D4×C47 | C2×C4 | semidirect |
| 53. C42×C47 | D4 | semidirect |
| 57. C4⋊Dic47 | C2×C4 | semidirect |
| 62. C4×Dic47 | D4 | semidirect |
| 113. C2×D47 | #104 | semidirect |
| 133. C2×#104 | D47 | semidirect |
| 137. C47 | #1896 | semidirect |
| 162. C2×Q8 | C4×D47 | semidirect |
| 165. C2×D4 | C4×D47 | semidirect |
| 195. C42 | C22⋊D47 | semidirect |