Finite Group DatabasebetaFinite Group DatabasebetaOrder 8576.
528 conjugacy classes of subgroups; only the 181 normal subgroups are shown.
This group has 528 conjugacy classes of subgroups — too many to draw. Only its 181 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×#14524043 | C2 | semidirect |
| 3. #16863743 | C2 | direct (N × H) |
| 4. C2×#14523965 | C2 | semidirect |
| 5. C2×C4×C8×C67 | C2 | semidirect |
| 11. #14524043 | C22 | semidirect |
| 16. #14523965 | C22 | semidirect |
| 19. C4×C8×C67 | C22 | semidirect |
| 74. C2×C67 | #486 | semidirect |
| 80. C67 | C2×#486 | semidirect |
| 85. C2×C4×C8 | D67 | semidirect |
| 99. C4×C8 | C2×D67 | semidirect |
| 155. C2 | #16863743 | direct (N × H) |