Finite Group DatabasebetaFinite Group DatabasebetaOrder 5504.
376 conjugacy classes of subgroups; only the 133 normal subgroups are shown.
This group has 376 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. #14583527 | C2 | semidirect |
| 3. #14583205 | C2 | semidirect |
| 4. #14583202 | C2 | semidirect |
| 5. #14583188 | C2 | semidirect |
| 6. #14583183 | C2 | semidirect |
| 7. C2×#13063256 | C2 | semidirect |
| 8. #14582927 | C2 | semidirect |
| 11. C43×#428 | C2 | semidirect |
| 46. #10621898 | Q8 | semidirect |
| 130. #428 | D43 | semidirect |
| 135. C43 | #3084 | semidirect |