Finite Group DatabasebetaFinite Group DatabasebetaOrder 8576.
170 conjugacy classes of subgroups; only the 49 normal subgroups are shown.
This group has 170 conjugacy classes of subgroups — too many to draw. Only its 49 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×D1072 | C2 | semidirect |
| 2. C2×#14523982 | C2 | semidirect |
| 3. #16863633 | C2 | semidirect |
| 4. #16863196 | C2 | semidirect |
| 5. #367×C67 | C2 | semidirect |
| 27. C16×C67 | D4 | semidirect |
| 56. C67 | #2218 | semidirect |
| 60. #367 | D67 | semidirect |
| 83. C16 | D268 | semidirect |