Finite Group DatabasebetaFinite Group DatabasebetaOrder 5504.
316 conjugacy classes of subgroups; only the 81 normal subgroups are shown.
This group has 316 conjugacy classes of subgroups — too many to draw. Only its 81 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. #14582628 | C2 | semidirect |
| 4. C4×M16×C43 | C2 | semidirect |
| 13. C4⋊(C43⋊C8) | C22 | semidirect |
| 19. C4×C8×C43 | C22 | semidirect |
| 60. D172 | M16 | semidirect |
| 88. C4×M16 | D43 | semidirect |
| 90. C43 | #1490 | semidirect |
| 105. C4×C8 | C2×D43 | semidirect |