Finite Group DatabasebetaFinite Group Databasebeta| order | 8128 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C22 |
| direct product | C2×#16861155 |
| Sylow | C127 ⋊ C2×Q32 |
82 conjugacy classes of subgroups.
904 conjugacy classes — view the full character table.
| maximal subgroup of | #30640586, C4×#16861155, #30640598, … |
| maximal normal subgroup of | #30640586, C4×#16861155, #30640598, … |
| maximal quotient of | C2×#22549679, C2×#22549680, C2×#22549701, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(8128, 976);