Finite Group DatabasebetaFinite Group DatabasebetaOrder 8576.
312 conjugacy classes of subgroups; only the 93 normal subgroups are shown.
This group has 312 conjugacy classes of subgroups — too many to draw. Only its 93 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. #16863420 | C2 | semidirect |
| 3. #16863125 | C2 | semidirect |
| 4. #431×C67 | C2 | semidirect |
| 15. C4⋊(C67⋊C8) | C22 | semidirect |
| 19. C4×C8×C67 | C22 | semidirect |
| 62. D268 | M16 | semidirect |
| 90. C67 | #1486 | semidirect |
| 92. #431 | D67 | semidirect |
| 109. C4×C8 | C2×D67 | semidirect |