Finite Group DatabasebetaFinite Group DatabasebetaOrder 5504.
456 conjugacy classes of subgroups; only the 149 normal subgroups are shown.
This group has 456 conjugacy classes of subgroups — too many to draw. Only its 149 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. #14583449 | C2 | semidirect |
| 2. #14583304 | C2 | semidirect |
| 3. #14583276 | C2 | semidirect |
| 4. #14583246 | C2 | semidirect |
| 5. #14583135 | C2 | semidirect |
| 6. C4×D344 | C2 | semidirect |
| 7. C2×C4×C8×C43 | C2 | semidirect |
| 50. C2×C4×C43 | D8 | semidirect |
| 65. C8×C43 | #41 | semidirect |
| 92. C2×C4×C8 | D43 | semidirect |
| 93. C43 | #3169 | semidirect |
| 143. C2×C4 | D344 | semidirect |
| 151. C8 | #10621898 | semidirect |