Finite Group DatabasebetaFinite Group DatabasebetaOrder 5504.
360 conjugacy classes of subgroups; only the 133 normal subgroups are shown.
This group has 360 conjugacy classes of subgroups — too many to draw. Only its 133 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. #14583627 | C2 | semidirect |
| 2. #14583305 | C2 | semidirect |
| 3. #14583302 | C2 | semidirect |
| 5. #14583191 | C2 | semidirect |
| 6. #14583181 | C2 | semidirect |
| 8. #14583030 | C2 | semidirect |
| 60. #10621883 | Q8 | semidirect |
| 93. Dic86 | C2×Q8 | semidirect |
| 96. C43⋊C8 | C2×Q8 | semidirect |
| 128. C43 | #3386 | semidirect |