Finite Group DatabasebetaFinite Group Databasebeta| order | 8768 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C22 |
| direct product | C2×Dic1096 |
| Sylow | C137 ⋊ C2×Q32 |
82 conjugacy classes of subgroups.
2198 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #31778969, #31778971, #31778981, … |
| maximal normal subgroup of | #31778969, #31778971, #31778981, … |
| maximal quotient of | C2×#22577208, C2×#22577229, C4×Dic1096, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(8768, 977);