Finite Group DatabasebetaFinite Group DatabasebetaOrder 6016.
544 conjugacy classes of subgroups; only the 197 normal subgroups are shown.
This group has 544 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×#13093989 | C2 | semidirect |
| 4. #15689222 | C2 | direct (N × H) |
| 5. C2×#13093947 | C2 | semidirect |
| 7. C2×#13093934 | C2 | semidirect |
| 8. C2×#107×C47 | C2 | semidirect |
| 12. C2×#10625325 | C4 | semidirect |
| 16. #13093989 | C22 | semidirect |
| 23. #13093947 | C22 | semidirect |
| 25. #13093934 | C22 | semidirect |
| 29. #107×C47 | C22 | semidirect |
| 45. C2×Dic94 | C2×C4 | semidirect |
| 47. C2×C8×C47 | C2×C4 | semidirect |
| 60. #10625325 | C2×C4 | semidirect |
| 86. Dic94 | C22×C4 | semidirect |
| 87. C8×C47 | C22×C4 | semidirect |
| 106. C2×C47 | #440 | semidirect |
| 115. C2×#107 | D47 | semidirect |
| 119. C47 | C2×#440 | semidirect |
| 137. #107 | C2×D47 | semidirect |
| 161. C2×C8 | C4×D47 | semidirect |
| 199. C8 | C2×C4×D47 | semidirect |
| 217. C2 | #15689222 | direct (N × H) |