Finite Group DatabasebetaFinite Group DatabasebetaOrder 5504.
368 conjugacy classes of subgroups; only the 145 normal subgroups are shown.
This group has 368 conjugacy classes of subgroups — too many to draw. Only its 145 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 |
|---|---|---|
| 2. #14583302 | C2 | semidirect |
| 3. #14583278 | C2 | semidirect |
| 4. #14583251 | C2 | semidirect |
| 5. #14583249 | C2 | semidirect |
| 7. C4×#10621885 | C2 | semidirect |
| 73. C2×C4×C43 | Q16 | semidirect |
| 114. C43 | #3170 | semidirect |
| 182. C2×C4 | #10621885 | semidirect |