Finite Group DatabasebetaFinite Group Databasebeta| order | 10688 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C42 · Schur multiplier (H2) = C2×C4 |
| direct product | C4×#14581934 |
| Sylow | C167 ⋊ C4×M16 |
142 conjugacy classes of subgroups.
2696 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #36321974, #36321975, #36321987, … |
| maximal normal subgroup of | #36321974, #36321975, #36321987, … |
| maximal quotient of | C8×#14581934, #36322427, #36322435, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10688, 502);