Finite Group DatabasebetaFinite Group DatabasebetaOrder 5504.
370 conjugacy classes of subgroups; only the 75 normal subgroups are shown.
This group has 370 conjugacy classes of subgroups — too many to draw. Only its 75 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×#13063356 | C2 | semidirect |
| 3. C2×#13063252 | C2 | semidirect |
| 4. C2×#13063251 | C2 | semidirect |
| 5. #14582806 | C2 | semidirect |
| 6. #14582667 | C2 | semidirect |
| 7. C2×#137×C43 | C2 | semidirect |
| 41. C2×Q8×C43 | D4 | semidirect |
| 61. M16×C43 | D4 | semidirect |
| 73. #10621877 | D4 | semidirect |
| 146. C2×#137 | D43 | semidirect |
| 152. C43 | #2007 | semidirect |
| 191. C2×Q8 | C22⋊D43 | semidirect |
| 210. M16 | C22⋊D43 | semidirect |