Finite Group DatabasebetaFinite Group Databasebeta| order | 10688 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C42 · Schur multiplier (H2) = C25 |
| direct product | C2×C167⋊#95 |
| unambiguous semidirect product | (C2×C167)⋊#95 |
| Sylow | C167 ⋊ C2×#95 |
330 conjugacy classes of subgroups.
2696 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #36321980, #36322016, #36322018, … |
| maximal normal subgroup of | #36321980, #36322016, #36322018, … |
| maximal quotient of | C4×C167⋊#95, #36322360, #36322361, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10688, 393);