Finite Group DatabasebetaFinite Group DatabasebetaOrder 8576.
402 conjugacy classes of subgroups; only the 93 normal subgroups are shown.
This group has 402 conjugacy classes of subgroups — too many to draw. Only its 93 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 |
|---|---|---|
| 2. C2×#14523963 | C2 | semidirect |
| 3. C2×#14523963 | C2 | semidirect |
| 4. #16863151 | C2 | semidirect |
| 5. #389×C67 | C2 | semidirect |
| 42. C4⋊C4×C67 | D4 | semidirect |
| 104. C67 | #2041 | semidirect |
| 108. #389 | D67 | semidirect |
| 146. C4⋊C4 | D268 | semidirect |