Finite Group DatabasebetaFinite Group DatabasebetaOrder 5504.
480 conjugacy classes of subgroups; only the 173 normal subgroups are shown.
This group has 480 conjugacy classes of subgroups — too many to draw. Only its 173 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. #14583106 | C2 | direct (N × H) |
| 56. C2×C4×C43 | Q16 | semidirect |
| 78. C4×C43 | C2×Q16 | semidirect |
| 84. C2×C43 | #462 | semidirect |
| 94. C43 | C2×#462 | semidirect |
| 151. C2×C4 | #10621885 | semidirect |
| 168. C4 | C2×#10621885 | semidirect |
| 171. C2 | #14583106 | direct (N × H) |