Finite Group DatabasebetaFinite Group DatabasebetaOrder 8576.
1408 conjugacy classes of subgroups; only the 549 normal subgroups are shown.
This group has 1408 conjugacy classes of subgroups — too many to draw. Only its 549 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×#14524090 | C2 | semidirect |
| 2. #16864213 | C2 | direct (N × H) |
| 3. C2×#14524076 | C2 | semidirect |
| 4. C2×#14524065 | C2 | semidirect |
| 5. C22×Dic268 | C2 | semidirect |
| 6. C2×#131×C67 | C2 | semidirect |
| 8. #14524090 | C22 | semidirect |
| 13. #14524076 | C22 | semidirect |
| 14. #14524065 | C22 | semidirect |
| 17. C2×Dic268 | C22 | semidirect |
| 21. #131×C67 | C22 | semidirect |
| 78. C2×C67 | #578 | semidirect |
| 82. C67 | C2×#578 | semidirect |
| 88. C2×#131 | D67 | semidirect |
| 103. #131 | C2×D67 | semidirect |
| 161. C2 | #16864213 | direct (N × H) |