Finite Group DatabasebetaFinite Group DatabasebetaOrder 5504.
492 conjugacy classes of subgroups; only the 189 normal subgroups are shown.
This group has 492 conjugacy classes of subgroups — too many to draw. Only its 189 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. #14583012 | C2 | semidirect |
| 4. #14583007 | C2 | semidirect |
| 5. #14583001 | C2 | semidirect |
| 6. #14582937 | C2 | semidirect |
| 7. #14582896 | C2 | semidirect |
| 8. C2×#97×C43 | C2 | semidirect |
| 10. #13063347 | C4 | semidirect |
| 33. #10621898 | C2×C4 | semidirect |
| 39. C2×C8×C43 | C2×C4 | semidirect |
| 51. Dic172 | C2×C4 | semidirect |
| 52. D344 | C2×C4 | semidirect |
| 53. #10621873 | C2×C4 | semidirect |
| 97. C2×#97 | D43 | semidirect |
| 98. C43 | #2943 | semidirect |
| 132. C2×C8 | C4×D43 | semidirect |