Finite Group DatabasebetaFinite Group DatabasebetaOrder 5504.
428 conjugacy classes of subgroups; only the 141 normal subgroups are shown.
This group has 428 conjugacy classes of subgroups — too many to draw. Only its 141 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×C4×Dic86 | C2 | semidirect |
| 2. #14583215 | C2 | semidirect |
| 3. #14583181 | C2 | semidirect |
| 4. #14583096 | C2 | semidirect |
| 5. #14583037 | C2 | semidirect |
| 6. C4×#10621883 | C2 | semidirect |
| 7. #14582952 | C2 | semidirect |
| 75. C2×C4×C43 | SD16 | semidirect |
| 88. Dic86 | #41 | semidirect |
| 120. C43 | #3103 | semidirect |
| 194. C2×C4 | #10621883 | semidirect |