Finite Group DatabasebetaFinite Group DatabasebetaOrder 6784.
264 conjugacy classes of subgroups; only the 93 normal subgroups are shown.
This group has 264 conjugacy classes of subgroups — too many to draw. Only its 93 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×#13133153 | C2 | semidirect |
| 4. #16810392 | C2 | semidirect |
| 5. C2×#107×C53 | C2 | semidirect |
| 8. #13133223 | C4 | semidirect |
| 90. C2×#107 | D53 | semidirect |
| 93. C53 | #1816 | semidirect |