Finite Group DatabasebetaFinite Group DatabasebetaOrder 6016.
370 conjugacy classes of subgroups; only the 75 normal subgroups are shown.
This group has 370 conjugacy classes of subgroups — too many to draw. Only its 75 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×#13094055 | C2 | semidirect |
| 3. C2×#13093951 | C2 | semidirect |
| 4. C2×#13093950 | C2 | semidirect |
| 5. #15689030 | C2 | semidirect |
| 6. #15688891 | C2 | semidirect |
| 7. C2×#137×C47 | C2 | semidirect |
| 41. C2×Q8×C47 | D4 | semidirect |
| 61. M16×C47 | D4 | semidirect |
| 73. #10625329 | D4 | semidirect |
| 146. C2×#137 | D47 | semidirect |
| 152. C47 | #2007 | semidirect |
| 191. C2×Q8 | C22⋊D47 | semidirect |
| 210. M16 | C22⋊D47 | semidirect |