Finite Group DatabasebetaFinite Group DatabasebetaOrder 6784.
332 conjugacy classes of subgroups; only the 113 normal subgroups are shown.
This group has 332 conjugacy classes of subgroups — too many to draw. Only its 113 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×C22⋊#88322 | C2 | semidirect |
| 2. #16810349 | C2 | semidirect |
| 3. #16810347 | C2 | semidirect |
| 21. C2×D4×C53 | C8 | semidirect |
| 48. C23×C53 | C2×C8 | semidirect |
| 66. C2×C4×C53 | C2×C8 | semidirect |
| 102. C53 | #1459 | semidirect |
| 119. C2×D4 | #88322 | semidirect |
| 145. C23 | C2×#88322 | semidirect |
| 162. C2×C4 | C2×#88322 | semidirect |