Finite Group DatabasebetaFinite Group DatabasebetaOrder 8576.
362 conjugacy classes of subgroups; only the 73 normal subgroups are shown.
This group has 362 conjugacy classes of subgroups — too many to draw. Only its 73 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×#14524073 | C2 | semidirect |
| 3. C22×#11761617 | C2 | semidirect |
| 4. C2×#14523961 | C2 | semidirect |
| 5. C2×#14523959 | C2 | semidirect |
| 6. #16863161 | C2 | semidirect |
| 7. #408×C67 | C2 | semidirect |
| 128. C67 | #2019 | semidirect |
| 134. #408 | D67 | semidirect |