Finite Group DatabasebetaFinite Group DatabasebetaOrder 5504.
290 conjugacy classes of subgroups; only the 89 normal subgroups are shown.
This group has 290 conjugacy classes of subgroups — too many to draw. Only its 89 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×#13063259 | C2 | semidirect |
| 2. C2×#13063258 | C2 | semidirect |
| 5. #14582768 | C2 | semidirect |
| 6. #14582653 | C2 | semidirect |
| 108. C43 | #2093 | semidirect |