Finite Group DatabasebetaFinite Group DatabasebetaOrder 5504.
332 conjugacy classes of subgroups; only the 77 normal subgroups are shown.
This group has 332 conjugacy classes of subgroups — too many to draw. Only its 77 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. #14582956 | C2 | semidirect |
| 3. #14582642 | C2 | semidirect |
| 4. C43×#432 | C2 | semidirect |
| 12. C4⋊(C43⋊C8) | C22 | semidirect |
| 16. C4⋊C8×C43 | C22 | semidirect |
| 82. #432 | D43 | semidirect |
| 84. C43 | #1555 | semidirect |
| 94. C4⋊C8 | C2×D43 | semidirect |