Finite Group DatabasebetaFinite Group DatabasebetaOrder 5504.
170 conjugacy classes of subgroups; only the 47 normal subgroups are shown.
This group has 170 conjugacy classes of subgroups — too many to draw. Only its 47 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. #14583337 | C2 | semidirect |
| 2. #14583276 | C2 | semidirect |
| 3. #14583017 | C2 | semidirect |
| 4. #14582713 | C2 | semidirect |
| 5. C43×#364 | C2 | semidirect |
| 24. Dic172 | D4 | semidirect |
| 29. D344 | D4 | semidirect |
| 65. #364 | D43 | semidirect |
| 67. C43 | #2213 | semidirect |