Finite Group DatabasebetaFinite Group Databasebeta| order | 10688 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C8 · Schur multiplier (H2) = C22 |
| direct product | C2×#19128772 |
| Sylow | C167 ⋊ C2×M32 |
90 conjugacy classes of subgroups.
2696 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #36322217, #36322218, #36322219, … |
| maximal normal subgroup of | #36322217, #36322218, #36322219, … |
| maximal quotient of | C2×#24923045, C4×#19128772, C2×C22⋊(C167⋊C16), … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10688, 964);