Finite Group DatabasebetaFinite Group DatabasebetaOrder 6016.
600 conjugacy classes of subgroups; only the 269 normal subgroups are shown.
This group has 600 conjugacy classes of subgroups — too many to draw. Only its 269 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 |
|---|---|---|
| 3. C2×#13093956 | C2 | semidirect |
| 4. C2×#13093955 | C2 | semidirect |
| 5. #106×D47 | C2 | direct (N × H) |
| 6. C2×#106×C47 | C2 | semidirect |
| 10. C2×C8×D47 | C4 | semidirect |
| 16. #13093956 | C22 | semidirect |
| 17. #13093955 | C22 | semidirect |
| 20. #106×C47 | C22 | semidirect |
| 32. C2×C8×C47 | C2×C4 | semidirect |
| 39. C2×C47⋊C8 | C2×C4 | semidirect |
| 41. C8×D47 | C2×C4 | semidirect |
| 60. C8×C47 | C22×C4 | semidirect |
| 61. C47⋊C8 | C22×C4 | semidirect |
| 65. C2×D47 | #106 | direct (N × H) |
| 75. C2×C47 | C2×#106 | semidirect |
| 78. D47 | C2×#106 | direct (N × H) |
| 84. C2×#106 | D47 | direct (N × H) |
| 85. C47 | C22×#106 | semidirect |
| 99. #106 | C2×D47 | direct (N × H) |
| 114. C2×C8 | C4×D47 | semidirect |
| 140. C8 | C2×C4×D47 | semidirect |
| 154. C2 | #106×D47 | direct (N × H) |