Finite Group DatabasebetaFinite Group DatabasebetaOrder 6016.
264 conjugacy classes of subgroups; only the 109 normal subgroups are shown.
This group has 264 conjugacy classes of subgroups — too many to draw. Only its 109 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. #15689176 | C2 | semidirect |
| 2. #15688849 | C2 | semidirect |
| 21. C22×C4×C47 | C8 | semidirect |
| 89. C47 | #1458 | semidirect |
| 106. C22×C4 | C47⋊C8 | semidirect |