Finite Group DatabasebetaFinite Group DatabasebetaOrder 5504.
612 conjugacy classes of subgroups; only the 117 normal subgroups are shown.
This group has 612 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×#13063249 | C2 | semidirect |
| 3. C2×#13063247 | C2 | semidirect |
| 4. C2×#13063245 | C2 | semidirect |
| 5. C2×(C2×D43)⋊C8 | C2 | semidirect |
| 6. #14582756 | C2 | semidirect |
| 7. C2×#103×C43 | C2 | semidirect |
| 13. C2×#10621902 | C4 | semidirect |
| 94. Q8×C43 | C22⋊C4 | semidirect |
| 117. D172 | C22⋊C4 | semidirect |
| 166. C2×#103 | D43 | semidirect |
| 171. C43 | #1788 | semidirect |
| 258. Q8 | (C2×D43)⋊C4 | semidirect |