Finite Group DatabasebetaFinite Group DatabasebetaOrder 6016.
322 conjugacy classes of subgroups; only the 77 normal subgroups are shown.
This group has 322 conjugacy classes of subgroups — too many to draw. Only its 77 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. C2×C22⋊(C47⋊C8) | C2 | semidirect |
| 3. #15688846 | C2 | semidirect |
| 4. C47×#407 | C2 | semidirect |
| 101. #407 | D47 | semidirect |
| 104. C47 | #1471 | semidirect |