Finite Group DatabasebetaFinite Group DatabasebetaOrder 6016.
552 conjugacy classes of subgroups; only the 153 normal subgroups are shown.
This group has 552 conjugacy classes of subgroups — too many to draw. Only its 153 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×#13094057 | C2 | semidirect |
| 2. C2×#13094055 | C2 | semidirect |
| 3. C2×#13094054 | C2 | semidirect |
| 5. C2×#13094022 | C2 | semidirect |
| 6. #15689516 | C2 | semidirect |
| 7. #15689514 | C2 | semidirect |
| 8. #15689501 | C2 | semidirect |
| 9. #15689494 | C2 | semidirect |
| 10. M16×Dic47 | C2 | semidirect |
| 11. C2×#137×C47 | C2 | semidirect |
| 70. M16×C47 | D4 | semidirect |
| 84. #10625329 | D4 | semidirect |
| 140. Dic47 | #137 | semidirect |
| 150. C2×#137 | D47 | semidirect |
| 158. C47 | #3152 | semidirect |
| 224. M16 | C22⋊D47 | semidirect |