Finite Group DatabasebetaFinite Group DatabasebetaOrder 6016.
394 conjugacy classes of subgroups; only the 75 normal subgroups are shown.
This group has 394 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 |
|---|---|---|
| 2. C2×#13094013 | C2 | semidirect |
| 3. C2×#13093951 | C2 | semidirect |
| 4. #15689132 | C2 | semidirect |
| 5. C2×#13093940 | C2 | semidirect |
| 6. #15688884 | C2 | semidirect |
| 7. C2×#137×C47 | C2 | semidirect |
| 40. C2×Q8×C47 | D4 | semidirect |
| 57. M16×C47 | D4 | semidirect |
| 65. C4×Dic47 | D4 | semidirect |
| 132. C2×#137 | D47 | semidirect |
| 139. C47 | #2004 | semidirect |
| 172. C2×Q8 | C22⋊D47 | semidirect |
| 191. M16 | C22⋊D47 | semidirect |