Finite Group DatabasebetaFinite Group DatabasebetaOrder 5504.
310 conjugacy classes of subgroups; only the 79 normal subgroups are shown.
This group has 310 conjugacy classes of subgroups — too many to draw. Only its 79 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. #14583376 | C2 | semidirect |
| 4. #14582907 | C2 | semidirect |
| 6. #14582670 | C2 | semidirect |
| 7. C43×H(3,ℤ/4) | C2 | semidirect |
| 12. C2×Dic172 | C4 | semidirect |
| 13. C2×#10621873 | C4 | semidirect |
| 116. H(3,ℤ/4) | D43 | semidirect |
| 117. C43 | #1905 | semidirect |