Finite Group DatabasebetaFinite Group DatabasebetaOrder 5504.
364 conjugacy classes of subgroups; only the 117 normal subgroups are shown.
This group has 364 conjugacy classes of subgroups — too many to draw. Only its 117 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. #14583614 | C2 | semidirect |
| 2. #14583304 | C2 | semidirect |
| 3. #14583221 | C2 | semidirect |
| 4. #14583189 | C2 | semidirect |
| 5. #14583132 | C2 | semidirect |
| 6. C8×D172 | C2 | semidirect |
| 7. #14582936 | C2 | semidirect |
| 8. C4×D8×C43 | C2 | semidirect |
| 93. C4×D8 | D43 | semidirect |
| 96. C43 | #3341 | semidirect |