Finite Group DatabasebetaFinite Group DatabasebetaOrder 6016.
552 conjugacy classes of subgroups; only the 205 normal subgroups are shown.
This group has 552 conjugacy classes of subgroups — too many to draw. Only its 205 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. #15689210 | C2 | direct (N × H) |
| 5. C2×#13093947 | C2 | semidirect |
| 7. C2×C8×Dic47 | C2 | semidirect |
| 8. C2×#106×C47 | C2 | semidirect |
| 12. C2×#10625325 | C4 | semidirect |
| 16. #13093989 | C22 | semidirect |
| 23. #13093947 | C22 | semidirect |
| 25. C8×Dic47 | C22 | semidirect |
| 29. #106×C47 | C22 | semidirect |
| 45. C2×Dic94 | C2×C4 | semidirect |
| 47. C2×C8×C47 | C2×C4 | semidirect |
| 60. #10625325 | C2×C4 | semidirect |
| 77. C2×Dic47 | SD16 | semidirect |
| 86. Dic94 | C22×C4 | semidirect |
| 87. C8×C47 | C22×C4 | semidirect |
| 104. Dic47 | C2×SD16 | semidirect |
| 106. C2×C47 | C4×SD16 | semidirect |
| 115. C2×#106 | D47 | semidirect |
| 119. C47 | C2×C4×SD16 | semidirect |
| 137. #106 | C2×D47 | semidirect |
| 161. C2×C8 | C4×D47 | semidirect |
| 199. C8 | C2×C4×D47 | semidirect |
| 217. C2 | #15689210 | direct (N × H) |