Finite Group DatabasebetaFinite Group DatabasebetaOrder 6784.
612 conjugacy classes of subgroups; only the 117 normal subgroups are shown.
This group has 612 conjugacy classes of subgroups — too many to draw. Only its 117 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×#13133142 | C2 | semidirect |
| 3. C2×#13133140 | C2 | semidirect |
| 4. C2×#13133138 | C2 | semidirect |
| 5. C2×#13133129 | C2 | semidirect |
| 6. #16810480 | C2 | semidirect |
| 7. C2×#102×C53 | C2 | semidirect |
| 13. C2×#11719947 | C4 | semidirect |
| 94. D4×C53 | C22⋊C4 | semidirect |
| 122. Dic106 | C22⋊C4 | semidirect |
| 168. C2×#102 | D53 | semidirect |
| 171. C53 | #1788 | semidirect |
| 263. D4 | #11719921 | semidirect |