Finite Group DatabasebetaFinite Group Databasebeta| order | 10688 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C23 |
| direct product | C2×#19128755 |
| Sylow | C167 ⋊ C2×#103 |
162 conjugacy classes of subgroups.
1688 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #36323957, C4×#19128755, #36323967, … |
| maximal normal subgroup of | #36323957, C4×#19128755, #36323967, … |
| maximal quotient of | C2×#24922999, #36322540, #36322566, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10688, 539);