Finite Group DatabasebetaFinite Group Databasebeta| order | 8128 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C23 |
| direct product | C2×#16861150 |
| Fitting | C2×D8×C127 ⋊ C2 |
| Sylow | C127 ⋊ C2×D16 |
98 conjugacy classes of subgroups.
904 conjugacy classes — view the full character table.
| maximal subgroup of | #30640574, C4×#16861150, #30640603, … |
| maximal normal subgroup of | #30640574, C4×#16861150, #30640603, … |
| maximal quotient of | C2×#22549676, C2×#22549677, C2×#22549701, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(8128, 969);