Finite Group DatabasebetaFinite Group DatabasebetaOrder 5504.
266 conjugacy classes of subgroups; only the 57 normal subgroups are shown.
This group has 266 conjugacy classes of subgroups — too many to draw. Only its 57 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 |
|---|---|---|
| 3. #14582636 | C2 | semidirect |
| 4. #14582625 | C2 | semidirect |
| 5. C43×#544 | C2 | semidirect |
| 58. C2×C4×C43 | SD16 | semidirect |
| 91. #544 | D43 | semidirect |
| 96. C43 | #1599 | semidirect |
| 154. C2×C4 | #10621884 | semidirect |