Finite Group DatabasebetaFinite Group DatabasebetaOrder 8576.
316 conjugacy classes of subgroups; only the 99 normal subgroups are shown.
This group has 316 conjugacy classes of subgroups — too many to draw. Only its 99 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×#14523977 | C2 | semidirect |
| 3. C2×#14523974 | C2 | semidirect |
| 6. #16863158 | C2 | semidirect |
| 7. #340×C67 | C2 | semidirect |
| 19. (C2×D67)⋊C8 | C4 | semidirect |
| 121. C67 | #1854 | semidirect |
| 128. #340 | D67 | semidirect |