Finite Group DatabasebetaFinite Group DatabasebetaOrder 5504.
190 conjugacy classes of subgroups; only the 59 normal subgroups are shown.
This group has 190 conjugacy classes of subgroups — too many to draw. Only its 59 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. #14582926 | C2 | semidirect |
| 5. #14582669 | C2 | semidirect |
| 6. #14582663 | C2 | semidirect |
| 7. C43×H(3,ℤ/4) | C2 | semidirect |
| 96. H(3,ℤ/4) | D43 | semidirect |
| 97. C43 | #2080 | semidirect |