Finite Group DatabasebetaFinite Group DatabasebetaOrder 8576.
384 conjugacy classes of subgroups; only the 107 normal subgroups are shown.
This group has 384 conjugacy classes of subgroups — too many to draw. Only its 107 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×#14523976 | C2 | semidirect |
| 3. C2×#14523964 | C2 | semidirect |
| 4. C2×#14523963 | C2 | semidirect |
| 5. C2×C4×C67⋊C8 | C2 | semidirect |
| 6. #16863298 | C2 | semidirect |
| 7. #390×C67 | C2 | semidirect |
| 11. C2×#11761613 | C4 | semidirect |
| 76. C2×C4×C67 | D8 | semidirect |
| 90. C67⋊C8 | C22⋊C4 | semidirect |
| 121. C67 | #1970 | semidirect |
| 128. #390 | D67 | semidirect |
| 203. C2×C4 | #11761613 | semidirect |