Finite Group DatabasebetaFinite Group Databasebeta| order | 10688 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C23 |
| direct product | C2×#19128757 |
| Sylow | C167 ⋊ C2×#103 |
162 conjugacy classes of subgroups.
2684 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #36323957, C4×#19128757, #36323967, … |
| maximal normal subgroup of | #36323957, C4×#19128757, #36323967, … |
| maximal quotient of | C2×#24923001, #36322542, #36322568, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10688, 541);