Finite Group DatabasebetaFinite Group Databasebeta| order | 10688 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C25 |
| direct product | C2×#19128855 |
| Fitting | C2×Q16×C167 ⋊ C2 |
| Sylow | C167 ⋊ C2×#135 |
266 conjugacy classes of subgroups.
1190 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #36325844, #36325849, #36325886, … |
| maximal normal subgroup of | #36325844, #36325849, #36325886, … |
| maximal quotient of | C2×#24923264, C2×#24923306, C2×#24923351, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10688, 1332);