Finite Group DatabasebetaFinite Group DatabasebetaOrder 8576.
306 conjugacy classes of subgroups; only the 69 normal subgroups are shown.
This group has 306 conjugacy classes of subgroups — too many to draw. Only its 69 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×#14523971 | C2 | semidirect |
| 3. #16863398 | C2 | semidirect |
| 4. #16863397 | C2 | semidirect |
| 5. #16863266 | C2 | semidirect |
| 6. #16863164 | C2 | semidirect |
| 7. C2×#104×C67 | C2 | semidirect |
| 63. C42×C67 | D4 | semidirect |
| 129. C67 | #2039 | semidirect |
| 132. C2×#104 | D67 | semidirect |
| 192. C42 | C22⋊D67 | semidirect |