Finite Group DatabasebetaFinite Group DatabasebetaOrder 6016.
164 conjugacy classes of subgroups; only the 51 normal subgroups are shown.
This group has 164 conjugacy classes of subgroups — too many to draw. Only its 51 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×C16×D47 | C2 | semidirect |
| 2. #15689361 | C2 | semidirect |
| 4. #15688951 | C2 | semidirect |
| 5. #15688927 | C2 | semidirect |
| 6. #15688924 | C2 | semidirect |
| 7. C2×SD32×C47 | C2 | semidirect |
| 38. C16×C47 | D4 | semidirect |
| 63. C2×D47 | SD32 | semidirect |
| 76. C2×SD32 | D47 | semidirect |
| 83. C47 | #2217 | semidirect |
| 115. C16 | C22⋊D47 | semidirect |