Finite Group DatabasebetaFinite Group DatabasebetaOrder 5504.
170 conjugacy classes of subgroups; only the 49 normal subgroups are shown.
This group has 170 conjugacy classes of subgroups — too many to draw. Only its 49 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×#13063264 | C2 | semidirect |
| 2. #14583132 | C2 | semidirect |
| 3. #14582727 | C2 | semidirect |
| 4. #14582700 | C2 | semidirect |
| 5. C2×D16×C43 | C2 | semidirect |
| 26. C16×C43 | D4 | semidirect |
| 56. C2×D16 | D43 | semidirect |
| 61. C43 | #2218 | semidirect |
| 83. C16 | C22⋊D43 | semidirect |