Finite Group DatabasebetaFinite Group DatabasebetaOrder 6016.
368 conjugacy classes of subgroups; only the 129 normal subgroups are shown.
This group has 368 conjugacy classes of subgroups — too many to draw. Only its 129 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. #15689527 | C2 | semidirect |
| 3. #15689501 | C2 | semidirect |
| 4. #15689472 | C2 | semidirect |
| 7. Q16×Dic47 | C2 | semidirect |
| 8. #15689217 | C2 | semidirect |
| 9. #15689215 | C2 | semidirect |
| 83. C2×Dic47 | Q16 | semidirect |
| 126. C47 | #3170 | semidirect |