Finite Group DatabasebetaFinite Group Databasebeta| order | 10688 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C25 |
| direct product | C2×#19128839 |
| Sylow | C167 ⋊ C2×#131 |
266 conjugacy classes of subgroups.
1700 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #36323940, #36323941, #36323976, … |
| maximal normal subgroup of | #36323940, #36323941, #36323976, … |
| maximal quotient of | C2×#24923225, C4×#19128839, C2×#24923236, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10688, 1312);