Finite Group DatabasebetaFinite Group DatabasebetaOrder 6016.
160 conjugacy classes of subgroups; only the 51 normal subgroups are shown.
This group has 160 conjugacy classes of subgroups — too many to draw. Only its 51 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. #15689527 | C2 | semidirect |
| 3. #15688925 | C2 | semidirect |
| 4. #15688924 | C2 | semidirect |
| 5. #15688923 | C2 | semidirect |
| 6. C16×Dic47 | C2 | semidirect |
| 7. C47×#357 | C2 | semidirect |
| 78. #357 | D47 | semidirect |
| 80. C47 | #2240 | semidirect |