Finite Group DatabasebetaFinite Group DatabasebetaOrder 6016.
1072 conjugacy classes of subgroups; only the 349 normal subgroups are shown.
This group has 1072 conjugacy classes of subgroups — too many to draw. Only its 349 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. C23×C47⋊C8 | C2 | semidirect |
| 3. C2×#13093944 | C2 | direct (N × H) |
| 4. C22×C4⋊C4×C47 | C2 | semidirect |
| 8. C22×D188 | C4 | semidirect |
| 11. C22×C47⋊C8 | C22 | semidirect |
| 12. #13093944 | C22 | direct (N × H) |
| 16. C2×C4⋊C4×C47 | C22 | semidirect |
| 31. C2×D188 | C2×C4 | semidirect |
| 34. C4⋊C4×C47 | C23 | semidirect |
| 36. C2×C47⋊C8 | C23 | semidirect |
| 55. D188 | C22×C4 | semidirect |
| 57. C22×C47 | #102 | semidirect |
| 71. C2×C47 | C2×#102 | semidirect |
| 78. C22×C4⋊C4 | D47 | semidirect |
| 80. C47 | C22×#102 | semidirect |
| 91. C2×C4⋊C4 | C2×D47 | semidirect |
| 112. C4⋊C4 | C22×D47 | semidirect |
| 137. C22 | #13093944 | direct (N × H) |
| 147. C2 | C2×#13093944 | direct (N × H) |