Finite Group DatabasebetaFinite Group DatabasebetaOrder 8576.
210 conjugacy classes of subgroups; only the 47 normal subgroups are shown.
This group has 210 conjugacy classes of subgroups — too many to draw. Only its 47 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. #16864210 | C2 | semidirect |
| 2. #16863831 | C2 | semidirect |
| 3. C2×#14523988 | C2 | semidirect |
| 4. #16863667 | C2 | semidirect |
| 5. #16863211 | C2 | semidirect |
| 6. #16863179 | C2 | semidirect |
| 7. #359×C67 | C2 | semidirect |
| 91. C67 | #2193 | semidirect |
| 97. #359 | D67 | semidirect |