Finite Group DatabasebetaFinite Group DatabasebetaOrder 5504.
276 conjugacy classes of subgroups; only the 101 normal subgroups are shown.
This group has 276 conjugacy classes of subgroups — too many to draw. Only its 101 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. #14582952 | C2 | semidirect |
| 3. #14582631 | C2 | semidirect |
| 4. #14582628 | C2 | semidirect |
| 5. C2×C4×C8×C43 | C2 | semidirect |
| 28. #10621898 | C8 | semidirect |
| 68. D172 | C2×C8 | semidirect |
| 73. Dic86 | C2×C8 | semidirect |
| 101. C2×C4×C8 | D43 | semidirect |
| 104. C43 | #1476 | semidirect |