Finite Group DatabasebetaFinite Group DatabasebetaOrder 5504.
712 conjugacy classes of subgroups; only the 149 normal subgroups are shown.
This group has 712 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×#13063373 | C2 | semidirect |
| 2. C2×#13063356 | C2 | semidirect |
| 3. C2×#13063347 | C2 | semidirect |
| 4. #14583480 | C2 | semidirect |
| 5. #14583064 | C2 | semidirect |
| 6. #14583056 | C2 | semidirect |
| 7. #14583047 | C2 | semidirect |
| 8. #14583039 | C2 | semidirect |
| 9. #14582898 | C2 | semidirect |
| 10. #14582865 | C2 | semidirect |
| 11. C2×#103×C43 | C2 | semidirect |
| 47. C2×Q8×C43 | D4 | semidirect |
| 67. #10621898 | D4 | semidirect |
| 179. C2×#103 | D43 | semidirect |
| 181. C43 | #3013 | semidirect |
| 234. C2×Q8 | D172 | semidirect |