Finite Group DatabasebetaFinite Group DatabasebetaOrder 5504.
402 conjugacy classes of subgroups; only the 89 normal subgroups are shown.
This group has 402 conjugacy classes of subgroups — too many to draw. Only its 89 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×#13063247 | C2 | semidirect |
| 3. C2×#13063246 | C2 | semidirect |
| 4. C2×#13063245 | C2 | semidirect |
| 5. #14582798 | C2 | semidirect |
| 6. #14582653 | C2 | semidirect |
| 7. C2×#102×C43 | C2 | semidirect |
| 54. C4⋊C4×C43 | D4 | semidirect |
| 151. C2×#102 | D43 | semidirect |
| 154. C43 | #2041 | semidirect |
| 207. C4⋊C4 | C22⋊D43 | semidirect |