Finite Group DatabasebetaFinite Group DatabasebetaOrder 5504.
436 conjugacy classes of subgroups; only the 149 normal subgroups are shown.
This group has 436 conjugacy classes of subgroups — too many to draw. Only its 149 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×#13063325 | C2 | semidirect |
| 2. #14583258 | C2 | direct (N × H) |
| 3. C2×#13063249 | C2 | semidirect |
| 5. C2×#13063236 | C2 | semidirect |
| 10. #13063325 | C22 | semidirect |
| 13. #13063249 | C22 | semidirect |
| 15. #13063236 | C22 | semidirect |
| 84. C2×C43 | #489 | semidirect |
| 94. C43 | C2×#489 | semidirect |
| 171. C2 | #14583258 | direct (N × H) |