Finite Group DatabasebetaFinite Group DatabasebetaOrder 5504.
392 conjugacy classes of subgroups; only the 137 normal subgroups are shown.
This group has 392 conjugacy classes of subgroups — too many to draw. Only its 137 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. #14583456 | C2 | semidirect |
| 3. #14583190 | C2 | semidirect |
| 4. #14583185 | C2 | semidirect |
| 5. #14583128 | C2 | semidirect |
| 6. #14583105 | C2 | semidirect |
| 7. #14583100 | C2 | semidirect |
| 8. C2×C4⋊C8×C43 | C2 | semidirect |
| 69. C2×C4×C43 | SD16 | semidirect |
| 120. C2×C4⋊C8 | D43 | semidirect |
| 121. C43 | #3246 | semidirect |
| 195. C2×C4 | #10621873 | semidirect |