Finite Group DatabasebetaFinite Group DatabasebetaOrder 5504.
326 conjugacy classes of subgroups; only the 91 normal subgroups are shown.
This group has 326 conjugacy classes of subgroups — too many to draw. Only its 91 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 |
|---|---|---|
| 1. C2×#13063325 | C2 | semidirect |
| 4. #14582662 | C2 | semidirect |
| 5. C43×#336 | C2 | semidirect |
| 26. C2×D172 | Q8 | semidirect |
| 101. #336 | D43 | semidirect |
| 102. C43 | #2023 | semidirect |