Finite Group DatabasebetaFinite Group DatabasebetaOrder 6016.
138 conjugacy classes of subgroups; only the 47 normal subgroups are shown.
This group has 138 conjugacy classes of subgroups — too many to draw. Only its 47 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. #15689524 | C2 | semidirect |
| 3. #15688927 | C2 | semidirect |
| 6. C16×Dic47 | C2 | semidirect |
| 7. C47×#358 | C2 | semidirect |
| 70. #358 | D47 | semidirect |
| 74. C47 | #2242 | semidirect |