Finite Group DatabasebetaFinite Group DatabasebetaOrder 5504.
460 conjugacy classes of subgroups; only the 127 normal subgroups are shown.
This group has 460 conjugacy classes of subgroups — too many to draw. Only its 127 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×Q16×D43 | C2 | semidirect |
| 4. #14583158 | C2 | semidirect |
| 5. #14583157 | C2 | semidirect |
| 6. #14583154 | C2 | semidirect |
| 7. #14583139 | C2 | semidirect |
| 8. #14583138 | C2 | semidirect |
| 9. #14582934 | C2 | semidirect |
| 10. #14582906 | C2 | semidirect |
| 11. C43×#470 | C2 | semidirect |
| 140. #470 | D43 | semidirect |
| 145. C43 | #3059 | semidirect |