Finite Group DatabasebetaFinite Group DatabasebetaOrder 5504.
230 conjugacy classes of subgroups; only the 53 normal subgroups are shown.
This group has 230 conjugacy classes of subgroups — too many to draw. Only its 53 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×#13063347 | C2 | semidirect |
| 2. C2×#13063270 | C2 | semidirect |
| 3. C2×D688 | C2 | semidirect |
| 4. #14583135 | C2 | semidirect |
| 5. #14582704 | C2 | semidirect |
| 6. #14582701 | C2 | semidirect |
| 7. C43×C22⋊C16 | C2 | semidirect |
| 39. Dic172 | D4 | semidirect |
| 43. D344 | D4 | semidirect |
| 96. C22⋊C16 | D43 | semidirect |
| 97. C43 | #2186 | semidirect |