Finite Group DatabasebetaFinite Group DatabasebetaOrder 8576.
384 conjugacy classes of subgroups; only the 109 normal subgroups are shown.
This group has 384 conjugacy classes of subgroups — too many to draw. Only its 109 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×#14523963 | C2 | semidirect |
| 3. C2×C8×Dic67 | C2 | semidirect |
| 4. #16863297 | C2 | semidirect |
| 5. C2×#107×C67 | C2 | semidirect |
| 9. C2×D536 | C4 | semidirect |
| 56. C2×Dic67 | D8 | semidirect |
| 61. C8×C67 | C22⋊C4 | semidirect |
| 86. C67 | #1970 | semidirect |
| 88. C2×#107 | D67 | semidirect |
| 148. C8 | (C2×D67)⋊C4 | semidirect |