Finite Group DatabasebetaFinite Group DatabasebetaOrder 8576.
390 conjugacy classes of subgroups; only the 101 normal subgroups are shown.
This group has 390 conjugacy classes of subgroups — too many to draw. Only its 101 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×#11761612 | C2 | semidirect |
| 2. C2×#14523960 | C2 | semidirect |
| 3. #16863360 | C2 | semidirect |
| 4. #16863165 | C2 | semidirect |
| 27. #11761612 | D4 | semidirect |
| 97. C22×C67 | #100 | semidirect |
| 114. C67 | #1900 | semidirect |
| 211. C22 | #14523960 | semidirect |