Finite Group DatabasebetaFinite Group DatabasebetaOrder 6016.
388 conjugacy classes of subgroups; only the 129 normal subgroups are shown.
This group has 388 conjugacy classes of subgroups — too many to draw. Only its 129 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 |
|---|---|---|
| 3. C2×#13093935 | C2 | semidirect |
| 4. #15688885 | C2 | semidirect |
| 5. C4×C4⋊C4×C47 | C2 | semidirect |
| 10. C4×D188 | C4 | semidirect |
| 13. #13093944 | C4 | semidirect |
| 32. C4⋊C4×C47 | C2×C4 | semidirect |
| 41. C2×C47⋊C8 | C2×C4 | semidirect |
| 64. D188 | C42 | semidirect |
| 94. C4×C4⋊C4 | D47 | semidirect |
| 96. C47 | #1762 | semidirect |
| 128. C4⋊C4 | C4×D47 | semidirect |