Finite Group DatabasebetaFinite Group Databasebeta| order | 8128 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C25 |
| direct product | C2×#16861232 |
| Fitting | C2×Q16×C127 ⋊ C2 |
| Sylow | C127 ⋊ C2×#135 |
266 conjugacy classes of subgroups.
910 conjugacy classes — view the full character table.
| maximal subgroup of | #30640436, #30640441, #30640478, … |
| maximal normal subgroup of | #30640436, #30640441, #30640478, … |
| maximal quotient of | C2×#22549871, C2×#22549913, C2×#22549958, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(8128, 1332);