Finite Group DatabasebetaFinite Group DatabasebetaOrder 5504.
384 conjugacy classes of subgroups; only the 117 normal subgroups are shown.
This group has 384 conjugacy classes of subgroups — too many to draw. Only its 117 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×#13063259 | C2 | semidirect |
| 3. C2×#13063247 | C2 | semidirect |
| 4. #14582801 | C2 | semidirect |
| 5. C2×C4×C8×C43 | C2 | semidirect |
| 9. C2×D344 | C4 | semidirect |
| 48. C2×C4×C43 | D8 | semidirect |
| 62. C8×C43 | C22⋊C4 | semidirect |
| 89. C2×C4×C8 | D43 | semidirect |
| 91. C43 | #1970 | semidirect |
| 140. C2×C4 | D344 | semidirect |
| 148. C8 | (C2×D43)⋊C4 | semidirect |