Finite Group DatabasebetaFinite Group DatabasebetaOrder 6016.
572 conjugacy classes of subgroups; only the 157 normal subgroups are shown.
This group has 572 conjugacy classes of subgroups — too many to draw. Only its 157 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×#13094044 | C2 | semidirect |
| 2. #15689673 | C2 | semidirect |
| 3. #15689505 | C2 | semidirect |
| 4. #15689502 | C2 | semidirect |
| 5. #15689499 | C2 | semidirect |
| 6. #15689497 | C2 | semidirect |
| 7. #15689495 | C2 | semidirect |
| 8. C2×C4×C47⋊C8 | C2 | semidirect |
| 9. C47×#532 | C2 | semidirect |
| 57. C2×C47⋊C8 | D4 | semidirect |
| 93. C4×C47 | #135 | semidirect |
| 104. #532 | D47 | semidirect |
| 111. C47 | #3147 | semidirect |
| 196. C4 | #13094044 | semidirect |