Finite Group DatabasebetaFinite Group DatabasebetaOrder 6016.
266 conjugacy classes of subgroups; only the 53 normal subgroups are shown.
This group has 266 conjugacy classes of subgroups — too many to draw. Only its 53 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×D8×D47 | C2 | semidirect |
| 2. C2×#13093965 | C2 | semidirect |
| 3. #15689356 | C2 | semidirect |
| 4. #15688925 | C2 | semidirect |
| 5. #15688924 | C2 | semidirect |
| 6. (C2×D47)⋊C16 | C2 | semidirect |
| 7. C2×D16×C47 | C2 | semidirect |
| 16. C2×C47⋊C16 | C22 | semidirect |
| 17. #13093958 | C22 | semidirect |
| 20. C2×D8×C47 | C22 | semidirect |
| 22. C2×C16×C47 | C22 | semidirect |
| 35. D8×C47 | D4 | semidirect |
| 42. D376 | D4 | semidirect |
| 83. C2×D47 | D16 | semidirect |
| 98. C2×D16 | D47 | semidirect |
| 103. C47 | #2184 | semidirect |
| 110. C2×D8 | C2×D47 | semidirect |
| 116. C2×C16 | C2×D47 | semidirect |
| 134. D8 | C22⋊D47 | semidirect |