Finite Group DatabasebetaFinite Group DatabasebetaOrder 5504.
126 conjugacy classes of subgroups; only the 39 normal subgroups are shown.
This group has 126 conjugacy classes of subgroups — too many to draw. Only its 39 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. C22⋊(C43⋊C16) | C2 | semidirect |
| 3. C43×#340 | C2 | semidirect |
| 4. C2×D344 | C4 | semidirect |
| 7. #13063259 | C4 | semidirect |
| 62. #340 | D43 | semidirect |
| 63. C43 | #1347 | semidirect |