Finite Group DatabasebetaFinite Group DatabasebetaOrder 5504.
240 conjugacy classes of subgroups; only the 57 normal subgroups are shown.
This group has 240 conjugacy classes of subgroups — too many to draw. Only its 57 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. #14582698 | C2 | semidirect |
| 4. #14582697 | C2 | semidirect |
| 5. C43×#356 | C2 | semidirect |
| 84. D43 | #356 | direct (N × H) |
| 89. #356 | D43 | direct (N × H) |
| 90. C43 | C2×#356 | semidirect |