Finite Group DatabasebetaFinite Group DatabasebetaOrder 6016.
174 conjugacy classes of subgroups; only the 65 normal subgroups are shown.
This group has 174 conjugacy classes of subgroups — too many to draw. Only its 65 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. C4×D376 | C2 | semidirect |
| 3. #15688948 | C2 | semidirect |
| 4. #15688924 | C2 | semidirect |
| 5. #15688923 | C2 | semidirect |
| 6. C4×C47⋊C16 | C2 | semidirect |
| 7. C4×D8×C47 | C2 | semidirect |
| 10. #13093965 | C4 | direct (N × H) |
| 25. D8×C47 | C2×C4 | semidirect |
| 34. D376 | C2×C4 | semidirect |
| 36. C47⋊C16 | C2×C4 | semidirect |
| 62. C4×C47 | D16 | semidirect |
| 74. C4×D8 | D47 | semidirect |
| 79. C47 | C4×D16 | semidirect |
| 99. D8 | C4×D47 | semidirect |
| 135. C4 | #13093965 | direct (N × H) |