Finite Group DatabasebetaFinite Group DatabasebetaOrder 5504.
432 conjugacy classes of subgroups; only the 145 normal subgroups are shown.
This group has 432 conjugacy classes of subgroups — too many to draw. Only its 145 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 |
|---|---|---|
| 3. #14582668 | C2 | semidirect |
| 4. #14582667 | C2 | semidirect |
| 5. C43×#343 | C2 | semidirect |
| 11. M16×D43 | C4 | semidirect |
| 33. M16×C43 | C2×C4 | semidirect |
| 39. #10621877 | C2×C4 | semidirect |
| 94. D43 | #343 | direct (N × H) |
| 99. #343 | D43 | direct (N × H) |
| 100. C43 | C2×#343 | semidirect |
| 131. M16 | C4×D43 | semidirect |