Finite Group DatabasebetaFinite Group DatabasebetaOrder 5504.
482 conjugacy classes of subgroups; only the 131 normal subgroups are shown.
This group has 482 conjugacy classes of subgroups — too many to draw. Only its 131 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. C2×#13063348 | C2 | semidirect |
| 2. C2×Q16×D43 | C2 | semidirect |
| 3. #14583561 | C2 | semidirect |
| 4. #14583283 | C2 | semidirect |
| 5. #14583141 | C2 | semidirect |
| 6. #14583136 | C2 | semidirect |
| 7. #14583121 | C2 | semidirect |
| 8. #14583064 | C2 | semidirect |
| 9. #14583039 | C2 | semidirect |
| 10. C8×D172 | C2 | semidirect |
| 11. C4×Q16×C43 | C2 | semidirect |
| 56. Q16×C43 | D4 | semidirect |
| 120. C2×D43 | #135 | semidirect |
| 146. C4×Q16 | D43 | semidirect |
| 148. C43 | #3285 | semidirect |
| 195. Q16 | D172 | semidirect |