Finite Group DatabasebetaFinite Group DatabasebetaOrder 5504.
592 conjugacy classes of subgroups; only the 133 normal subgroups are shown.
This group has 592 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 |
|---|---|---|
| 2. C2×#13063250 | C2 | semidirect |
| 8. C22×Dic86 | C4 | semidirect |
| 62. Dic86 | C22⋊C4 | semidirect |
| 68. C22×C43 | #103 | semidirect |
| 90. C43 | #1787 | semidirect |
| 154. C22 | #13063250 | semidirect |