Finite Group DatabasebetaFinite Group DatabasebetaOrder 5504.
564 conjugacy classes of subgroups; only the 105 normal subgroups are shown.
This group has 564 conjugacy classes of subgroups — too many to draw. Only its 105 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. C2×#13063244 | C2 | semidirect |
| 3. C2×#13063243 | C2 | semidirect |
| 5. C2×#101×C43 | C2 | semidirect |
| 88. C2×D43 | #101 | semidirect |
| 103. C2×#101 | D43 | semidirect |
| 105. C43 | #1784 | semidirect |