Finite Group DatabasebetaFinite Group DatabasebetaOrder 8576.
390 conjugacy classes of subgroups; only the 89 normal subgroups are shown.
This group has 390 conjugacy classes of subgroups — too many to draw. Only its 89 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. C22×#11761618 | C2 | semidirect |
| 5. #16863301 | C2 | semidirect |
| 6. #16863150 | C2 | semidirect |
| 7. C2×#103×C67 | C2 | semidirect |
| 126. C67 | #2015 | semidirect |
| 130. C2×#103 | D67 | semidirect |