Finite Group DatabasebetaFinite Group DatabasebetaOrder 5504.
276 conjugacy classes of subgroups; only the 75 normal subgroups are shown.
This group has 276 conjugacy classes of subgroups — too many to draw. Only its 75 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. #14582921 | C2 | semidirect |
| 3. C4×C8×D43 | C2 | semidirect |
| 4. #14582628 | C2 | semidirect |
| 5. D4⋊(C43⋊C8) | C2 | semidirect |
| 6. #14582626 | C2 | semidirect |
| 7. C43×D4⋊C8 | C2 | semidirect |
| 124. D4⋊C8 | D43 | semidirect |
| 125. C43 | #1492 | semidirect |