Finite Group DatabasebetaFinite Group Databasebeta| order | 10688 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C23 |
| direct product | C2×D2672 |
| Fitting | C2×C16×C167 ⋊ C2 |
| Sylow | C167 ⋊ C2×D16 |
98 conjugacy classes of subgroups.
2678 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #36322315, #36322317, #36322327, … |
| maximal normal subgroup of | #36322315, #36322317, #36322327, … |
| maximal quotient of | C2×#24923071, C2×#24923095, C4×D2672, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10688, 970);