Finite Group DatabasebetaFinite Group DatabasebetaOrder 5504.
170 conjugacy classes of subgroups; only the 53 normal subgroups are shown.
This group has 170 conjugacy classes of subgroups — too many to draw. Only its 53 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×D688 | C2 | semidirect |
| 2. #14583135 | C2 | semidirect |
| 3. #14582727 | C2 | semidirect |
| 4. #14582701 | C2 | semidirect |
| 5. C2×M32×C43 | C2 | semidirect |
| 27. C16×C43 | D4 | semidirect |
| 57. C2×M32 | D43 | semidirect |
| 61. C43 | #2218 | semidirect |
| 83. C16 | C22⋊D43 | semidirect |