Finite Group DatabasebetaFinite Group DatabasebetaOrder 5504.
174 conjugacy classes of subgroups; only the 55 normal subgroups are shown.
This group has 174 conjugacy classes of subgroups — too many to draw. Only its 55 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×#13063270 | C2 | semidirect |
| 3. C4×Dic172 | C2 | semidirect |
| 4. #14582701 | C2 | semidirect |
| 5. C43×C4⋊C16 | C2 | semidirect |
| 27. Dic172 | D4 | semidirect |
| 52. C4×C43 | SD32 | semidirect |
| 65. C4⋊C16 | D43 | semidirect |
| 67. C43 | #2207 | semidirect |
| 116. C4 | #13063270 | semidirect |