Finite Group DatabasebetaFinite Group DatabasebetaOrder 8576.
262 conjugacy classes of subgroups; only the 69 normal subgroups are shown.
This group has 262 conjugacy classes of subgroups — too many to draw. Only its 69 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. C2×#14523968 | C2 | semidirect |
| 4. C2×#14523961 | C2 | semidirect |
| 6. #16863164 | C2 | semidirect |
| 7. C2×#108×C67 | C2 | semidirect |
| 110. C67 | #2052 | semidirect |
| 112. C2×#108 | D67 | semidirect |