Finite Group DatabasebetaFinite Group DatabasebetaOrder 6016.
608 conjugacy classes of subgroups; only the 197 normal subgroups are shown.
This group has 608 conjugacy classes of subgroups — too many to draw. Only its 197 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×D4×Dic47 | C2 | semidirect |
| 3. C2×#13093986 | C2 | semidirect |
| 4. #15689232 | C2 | direct (N × H) |
| 5. C2×#13093955 | C2 | semidirect |
| 6. C2×#13093946 | C2 | semidirect |
| 7. C2×#13093934 | C2 | semidirect |
| 8. C2×#102×C47 | C2 | semidirect |
| 12. C2×#10625334 | C4 | semidirect |
| 16. D4×Dic47 | C22 | semidirect |
| 18. #13093986 | C22 | semidirect |
| 23. #13093955 | C22 | semidirect |
| 24. #13093946 | C22 | semidirect |
| 25. #13093934 | C22 | semidirect |
| 29. #102×C47 | C22 | semidirect |
| 34. C2×D4×C47 | C2×C4 | semidirect |
| 45. C2×D188 | C2×C4 | semidirect |
| 54. #10625334 | C2×C4 | semidirect |
| 60. C2×C47⋊C8 | C2×C4 | semidirect |
| 73. D4×C47 | C22×C4 | semidirect |
| 89. D188 | C22×C4 | semidirect |
| 92. C47⋊C8 | C22×C4 | semidirect |
| 114. C2×C47 | #442 | semidirect |
| 125. C2×#102 | D47 | semidirect |
| 127. C47 | C2×#442 | semidirect |
| 147. #102 | C2×D47 | semidirect |
| 157. C2×D4 | C4×D47 | semidirect |
| 195. D4 | C2×C4×D47 | semidirect |
| 233. C2 | #15689232 | direct (N × H) |