Finite Group DatabasebetaFinite Group DatabasebetaOrder 6784.
316 conjugacy classes of subgroups; only the 81 normal subgroups are shown.
This group has 316 conjugacy classes of subgroups — too many to draw. Only its 81 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. C4×#11719917 | C2 | semidirect |
| 3. #16810350 | C2 | semidirect |
| 4. C53×#432 | C2 | semidirect |
| 15. C4×#88322 | C22 | semidirect |
| 17. C4⋊C8×C53 | C22 | semidirect |
| 60. D212 | M16 | semidirect |
| 87. #432 | D53 | semidirect |
| 90. C53 | #1490 | semidirect |
| 101. C4⋊C8 | C2×D53 | semidirect |