Finite Group DatabasebetaFinite Group DatabasebetaOrder 8576.
342 conjugacy classes of subgroups; only the 73 normal subgroups are shown.
This group has 342 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 |
|---|---|---|
| 3. C22×#11761618 | C2 | semidirect |
| 4. C2×#14523961 | C2 | semidirect |
| 6. #16863160 | C2 | semidirect |
| 7. C2×#101×C67 | C2 | semidirect |
| 123. C67 | #2020 | semidirect |
| 128. C2×#101 | D67 | semidirect |