Finite Group DatabasebetaFinite Group DatabasebetaOrder 5504.
260 conjugacy classes of subgroups; only the 77 normal subgroups are shown.
This group has 260 conjugacy classes of subgroups — too many to draw. Only its 77 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. C2×#13063244 | C2 | semidirect |
| 2. #14582696 | C2 | direct (N × H) |
| 6. #13063244 | C22 | semidirect |
| 72. C2×C43 | #355 | semidirect |
| 77. C43 | C2×#355 | semidirect |
| 145. C2 | #14582696 | direct (N × H) |