Finite Group DatabasebetaFinite Group DatabasebetaOrder 5504.
202 conjugacy classes of subgroups; only the 61 normal subgroups are shown.
This group has 202 conjugacy classes of subgroups — too many to draw. Only its 61 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. #14582654 | C2 | semidirect |
| 3. C43×#336 | C2 | semidirect |
| 19. C2×D172 | C8 | semidirect |
| 91. #336 | D43 | semidirect |
| 92. C43 | #1270 | semidirect |