Finite Group DatabasebetaFinite Group Databasebeta| order | 8128 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C22 |
| direct product | C2×#16861153 |
| Sylow | C127 ⋊ C2×SD32 |
90 conjugacy classes of subgroups.
904 conjugacy classes — view the full character table.
| maximal subgroup of | C4×#16861153, #30640585, #30640591, … |
| maximal normal subgroup of | C4×#16861153, #30640585, #30640591, … |
| maximal quotient of | C2×#22549677, C2×#22549679, C2×#22549703, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(8128, 973);