Finite Group DatabasebetaFinite Group DatabasebetaOrder 5504.
374 conjugacy classes of subgroups; only the 133 normal subgroups are shown.
This group has 374 conjugacy classes of subgroups — too many to draw. Only its 133 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. #14583609 | C2 | semidirect |
| 2. #14583305 | C2 | semidirect |
| 3. #14583295 | C2 | semidirect |
| 4. #14583199 | C2 | semidirect |
| 5. #14583189 | C2 | semidirect |
| 6. #14583186 | C2 | semidirect |
| 7. #14583176 | C2 | semidirect |
| 8. #14583030 | C2 | semidirect |
| 11. D4×Q8×C43 | C2 | semidirect |
| 62. #10621882 | Q8 | semidirect |
| 92. D172 | C2×Q8 | semidirect |
| 98. C43⋊C8 | C2×Q8 | semidirect |
| 123. D4×Q8 | D43 | semidirect |
| 133. C43 | #3384 | semidirect |