Finite Group DatabasebetaFinite Group DatabasebetaOrder 6016.
584 conjugacy classes of subgroups; only the 149 normal subgroups are shown.
This group has 584 conjugacy classes of subgroups — too many to draw. Only its 149 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×#13094050 | C2 | semidirect |
| 2. C4×#10625350 | C2 | semidirect |
| 3. #15689320 | C2 | semidirect |
| 4. #15689315 | C2 | semidirect |
| 5. #15689147 | C2 | semidirect |
| 6. #15689128 | C2 | semidirect |
| 7. C2×#127×C47 | C2 | semidirect |
| 10. C2×#10625335 | C22 | semidirect |
| 11. C2×#10625334 | C22 | semidirect |
| 13. C4×Dic94 | C22 | semidirect |
| 14. C4×D188 | C22 | semidirect |
| 19. C4⋊(C47⋊C8) | C22 | semidirect |
| 20. #13093945 | C22 | semidirect |
| 39. #10625350 | D4 | semidirect |
| 78. D188 | C2×D4 | semidirect |
| 82. Dic94 | C2×D4 | semidirect |
| 94. C4×C47 | AGL(1,ℤ/8) | semidirect |
| 106. C2×#127 | D47 | semidirect |
| 112. C47 | #3038 | semidirect |
| 201. C4 | #13094050 | semidirect |