Finite Group DatabasebetaFinite Group DatabasebetaOrder 6016.
216 conjugacy classes of subgroups; only the 81 normal subgroups are shown.
This group has 216 conjugacy classes of subgroups — too many to draw. Only its 81 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. #15689147 | C2 | semidirect |
| 3. Q8⋊(C47⋊C8) | C2 | semidirect |
| 4. D4⋊(C47⋊C8) | C2 | semidirect |
| 99. C47 | #1495 | semidirect |