Finite Group DatabasebetaFinite Group DatabasebetaOrder 8576.
284 conjugacy classes of subgroups; only the 89 normal subgroups are shown.
This group has 284 conjugacy classes of subgroups — too many to draw. Only its 89 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×#14523974 | C2 | semidirect |
| 2. C2×C4⋊(C67⋊C8) | C2 | semidirect |
| 6. #16863158 | C2 | semidirect |
| 7. #389×C67 | C2 | semidirect |
| 120. C67 | #2065 | semidirect |
| 126. #389 | D67 | semidirect |