Finite Group DatabasebetaFinite Group DatabasebetaOrder 5504.
444 conjugacy classes of subgroups; only the 93 normal subgroups are shown.
This group has 444 conjugacy classes of subgroups — too many to draw. Only its 93 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. C22×#10621873 | C2 | semidirect |
| 2. C2×#13063304 | C2 | semidirect |
| 4. C2×#13063250 | C2 | semidirect |
| 5. C2×#13063247 | C2 | semidirect |
| 6. #14582662 | C2 | semidirect |
| 7. C2×C22⋊C8×C43 | C2 | semidirect |
| 56. C2×Dic86 | D4 | semidirect |
| 62. C2×C8×C43 | D4 | semidirect |
| 68. C4⋊Dic43 | D4 | semidirect |
| 77. C23×C43 | SD16 | semidirect |
| 163. C2×C22⋊C8 | D43 | semidirect |
| 165. C43 | #2000 | semidirect |
| 221. C2×C8 | C22⋊D43 | semidirect |
| 242. C23 | #10621873 | semidirect |