Finite Group DatabasebetaFinite Group DatabasebetaOrder 6016.
402 conjugacy classes of subgroups; only the 103 normal subgroups are shown.
This group has 402 conjugacy classes of subgroups — too many to draw. Only its 103 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 |
|---|---|---|
| 3. C2×#13093948 | C2 | semidirect |
| 5. #15688885 | C2 | semidirect |
| 6. #15688878 | C2 | semidirect |
| 7. C47×#391 | C2 | semidirect |
| 12. C2×#10625336 | C4 | semidirect |
| 32. C2×Q8×C47 | C2×C4 | semidirect |
| 61. C2×C47⋊C8 | C2×C4 | semidirect |
| 85. C2×C4×C47 | SD16 | semidirect |
| 138. #391 | D47 | semidirect |
| 141. C47 | #1877 | semidirect |
| 166. C2×Q8 | C4×D47 | semidirect |
| 227. C2×C4 | #10625336 | semidirect |