Finite Group DatabasebetaFinite Group DatabasebetaOrder 8576.
358 conjugacy classes of subgroups; only the 121 normal subgroups are shown.
This group has 358 conjugacy classes of subgroups — too many to draw. Only its 121 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. #16863700 | C2 | semidirect |
| 4. #16863603 | C2 | semidirect |
| 6. #16863501 | C2 | semidirect |
| 7. C4×#11761618 | C2 | semidirect |
| 96. C67 | #3127 | semidirect |