Finite Group DatabasebetaFinite Group Databasebeta| order | 10688 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C42 · Schur multiplier (H2) = C23 |
| direct product | C2×#19128742 |
| Sylow | C167 ⋊ C2×#97 |
146 conjugacy classes of subgroups.
2696 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #36322217, #36322221, #97×Dic167, … |
| maximal normal subgroup of | #36322217, #36322221, #97×Dic167, … |
| maximal quotient of | C2×#24922990, C2×#24922991, #36322427, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10688, 497);