Finite Group DatabasebetaFinite Group DatabasebetaOrder 5504.
494 conjugacy classes of subgroups; only the 133 normal subgroups are shown.
This group has 494 conjugacy classes of subgroups — too many to draw. Only its 133 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×#13063347 | C2 | semidirect |
| 2. #14583570 | C2 | semidirect |
| 3. #14583554 | C2 | semidirect |
| 4. #14583272 | C2 | semidirect |
| 5. #14583128 | C2 | semidirect |
| 6. #14583110 | C2 | semidirect |
| 7. #14583095 | C2 | semidirect |
| 8. #14583063 | C2 | semidirect |
| 9. #14583046 | C2 | semidirect |
| 10. C4×#10621873 | C2 | semidirect |
| 11. C8×D4×C43 | C2 | semidirect |
| 81. #10621873 | D4 | semidirect |
| 127. C4×C43 | #135 | semidirect |
| 151. C8×D4 | D43 | semidirect |
| 152. C43 | #3284 | semidirect |
| 272. C4 | #13063347 | semidirect |