Finite Group DatabasebetaFinite Group DatabasebetaOrder 6784.
292 conjugacy classes of subgroups; only the 82 normal subgroups are shown.
This group has 292 conjugacy classes of subgroups — too many to draw. Only its 82 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×#13133288 | C2 | semidirect |
| 3. #16811499 | C2 | semidirect |
| 65. C22×C53 | #108 | semidirect |
| 72. C2×D53 | #108 | semidirect |
| 90. C53 | #1810 | semidirect |
| 158. C22 | #13133288 | semidirect |