Finite Group DatabasebetaFinite Group DatabasebetaOrder 8576.
164 conjugacy classes of subgroups; only the 51 normal subgroups are shown.
This group has 164 conjugacy classes of subgroups — too many to draw. Only its 51 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×#14523988 | C2 | semidirect |
| 2. C2×C16×D67 | C2 | semidirect |
| 3. #16863638 | C2 | semidirect |
| 5. #16863199 | C2 | semidirect |
| 6. #16863196 | C2 | semidirect |
| 7. #367×C67 | C2 | semidirect |
| 39. C16×C67 | D4 | semidirect |
| 63. C2×D67 | SD32 | semidirect |
| 76. C67 | #2217 | semidirect |
| 81. #367 | D67 | semidirect |
| 115. C16 | D268 | semidirect |