Finite Group DatabasebetaFinite Group DatabasebetaOrder 5504.
376 conjugacy classes of subgroups; only the 143 normal subgroups are shown.
This group has 376 conjugacy classes of subgroups — too many to draw. Only its 143 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. #14583208 | C2 | semidirect |
| 4. #14583204 | C2 | semidirect |
| 5. #14583192 | C2 | semidirect |
| 6. #14583182 | C2 | semidirect |
| 45. C2×Q8×C43 | Q8 | semidirect |
| 141. C43 | #3078 | semidirect |
| 177. C2×Q8 | Dic86 | semidirect |