Finite Group DatabasebetaFinite Group DatabasebetaOrder 5504.
168 conjugacy classes of subgroups; only the 93 normal subgroups are shown.
This group has 168 conjugacy classes of subgroups — too many to draw. Only its 93 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. #14582719 | C2 | direct (N × H) |
| 57. C2×C43 | #364 | semidirect |
| 63. C43 | C2×#364 | semidirect |
| 115. C2 | #14582719 | direct (N × H) |