Finite Group DatabasebetaFinite Group DatabasebetaOrder 5504.
484 conjugacy classes of subgroups; only the 133 normal subgroups are shown.
This group has 484 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. C2×#13063345 | C2 | semidirect |
| 2. C2×#13063333 | C2 | semidirect |
| 3. #14583480 | C2 | semidirect |
| 4. #14583477 | C2 | semidirect |
| 5. #14583156 | C2 | semidirect |
| 6. #14583151 | C2 | semidirect |
| 7. #14583131 | C2 | semidirect |
| 8. #14583127 | C2 | semidirect |
| 9. C2×#13063256 | C2 | semidirect |
| 10. #14582901 | C2 | semidirect |
| 11. C43×#417 | C2 | semidirect |
| 82. C2×C43⋊C8 | D4 | semidirect |
| 163. #417 | D43 | semidirect |
| 164. C43 | #3060 | semidirect |