Finite Group DatabasebetaFinite Group Databasebeta| order | 10688 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C22 |
| direct product | C2×#19128778 |
| Sylow | C167 ⋊ C2×Q32 |
82 conjugacy classes of subgroups.
1184 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #36325994, C4×#19128778, #36326006, … |
| maximal normal subgroup of | #36325994, C4×#19128778, #36326006, … |
| maximal quotient of | C2×#24923072, C2×#24923073, C2×#24923094, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10688, 976);