Finite Group DatabasebetaFinite Group DatabasebetaOrder 5504.
356 conjugacy classes of subgroups; only the 141 normal subgroups are shown.
This group has 356 conjugacy classes of subgroups — too many to draw. Only its 141 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 |
|---|---|---|
| 2. #14583304 | C2 | semidirect |
| 3. #14583235 | C2 | semidirect |
| 4. #14583195 | C2 | semidirect |
| 5. #14583140 | C2 | semidirect |
| 6. C4×Dic172 | C2 | semidirect |
| 7. C2×#13063259 | C2 | semidirect |
| 50. D4×C43 | Q16 | semidirect |
| 92. C43 | #3338 | semidirect |
| 137. D4 | Dic172 | semidirect |