Finite Group DatabasebetaFinite Group DatabasebetaOrder 5504.
332 conjugacy classes of subgroups; only the 79 normal subgroups are shown.
This group has 332 conjugacy classes of subgroups — too many to draw. Only its 79 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. C4×#10621898 | C2 | semidirect |
| 3. #14582915 | C2 | semidirect |
| 4. #14582873 | C2 | semidirect |
| 5. #14582670 | C2 | semidirect |
| 6. #14582659 | C2 | semidirect |
| 7. C2×#104×C43 | C2 | semidirect |
| 9. #13063356 | C4 | semidirect |
| 11. #13063351 | C4 | semidirect |
| 33. C2×Q8×C43 | C2×C4 | semidirect |
| 35. C2×D4×C43 | C2×C4 | semidirect |
| 68. #10621877 | C2×C4 | semidirect |
| 133. C2×#104 | D43 | semidirect |
| 137. C43 | #1906 | semidirect |
| 168. C2×Q8 | C4×D43 | semidirect |
| 172. C2×D4 | C4×D43 | semidirect |