Finite Group DatabasebetaFinite Group DatabasebetaOrder 5504.
276 conjugacy classes of subgroups; only the 71 normal subgroups are shown.
This group has 276 conjugacy classes of subgroups — too many to draw. Only its 71 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. #14582925 | C2 | semidirect |
| 2. #14582908 | C2 | semidirect |
| 4. C2×#13063244 | C2 | semidirect |
| 6. #14582664 | C2 | semidirect |
| 108. C43 | #2046 | semidirect |