Finite Group DatabasebetaFinite Group DatabasebetaOrder 5504.
210 conjugacy classes of subgroups; only the 53 normal subgroups are shown.
This group has 210 conjugacy classes of subgroups — too many to draw. Only its 53 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. #14583334 | C2 | semidirect |
| 2. C2×#13063268 | C2 | semidirect |
| 3. #14583169 | C2 | semidirect |
| 4. #14582715 | C2 | semidirect |
| 5. #14582706 | C2 | semidirect |
| 6. #14582683 | C2 | semidirect |
| 7. C43×#578 | C2 | semidirect |
| 91. #578 | D43 | semidirect |
| 98. C43 | #2193 | semidirect |