Finite Group DatabasebetaFinite Group DatabasebetaOrder 8576.
512 conjugacy classes of subgroups; only the 165 normal subgroups are shown.
This group has 512 conjugacy classes of subgroups — too many to draw. Only its 165 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. C22×Dic268 | C2 | semidirect |
| 4. #16863638 | C2 | direct (N × H) |
| 5. C2×#14523966 | C2 | semidirect |
| 6. C2×#107×C67 | C2 | semidirect |
| 10. C2×Dic268 | C22 | semidirect |
| 18. #14523966 | C22 | semidirect |
| 21. #107×C67 | C22 | semidirect |
| 48. C22×D67 | Q16 | semidirect |
| 75. C2×D67 | C2×Q16 | semidirect |
| 82. C2×C67 | #467 | semidirect |
| 88. C67 | C2×#467 | semidirect |
| 93. C2×#107 | D67 | semidirect |
| 108. #107 | C2×D67 | semidirect |
| 171. C2 | #16863638 | direct (N × H) |