Finite Group DatabasebetaFinite Group DatabasebetaOrder 5504.
488 conjugacy classes of subgroups; only the 221 normal subgroups are shown.
This group has 488 conjugacy classes of subgroups — too many to draw. Only its 221 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. C4×#10621885 | C2 | direct (N × H) |
| 10. C2×#10621885 | C4 | direct (N × H) |
| 51. #10621885 | C2×C4 | direct (N × H) |
| 69. C2×C4×C43 | Q16 | semidirect |
| 93. C4×C43 | C2×Q16 | semidirect |
| 99. C2×C43 | C4×Q16 | semidirect |
| 111. C43 | C2×C4×Q16 | semidirect |
| 179. C2×C4 | #10621885 | direct (N × H) |
| 198. C4 | C2×#10621885 | direct (N × H) |
| 201. C2 | C4×#10621885 | direct (N × H) |