Finite Group DatabasebetaFinite Group DatabasebetaOrder 5504.
340 conjugacy classes of subgroups; only the 79 normal subgroups are shown.
This group has 340 conjugacy classes of subgroups — too many to draw. Only its 79 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. #14583665 | C2 | semidirect |
| 3. #14582881 | C2 | semidirect |
| 4. C2×#13063242 | C2 | semidirect |
| 5. #14582671 | C2 | semidirect |
| 6. #14582670 | C2 | semidirect |
| 7. C2×#100×C43 | C2 | semidirect |
| 46. M16×C43 | D4 | semidirect |
| 56. #10621877 | D4 | semidirect |
| 119. C2×#100 | D43 | semidirect |
| 122. C43 | #1914 | semidirect |
| 166. M16 | C22⋊D43 | semidirect |