Finite Group DatabasebetaFinite Group Databasebeta| order | 8128 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C23 |
| direct product | D16×D127 |
| Fitting | D16×C127 ⋊ C2 |
| Sylow | C127 ⋊ C2×D16 |
98 conjugacy classes of subgroups.
715 conjugacy classes — view the full character table.
| maximal subgroup of | D32×D127, SD64×D127, #30641041, … |
| maximal normal subgroup of | D32×D127, SD64×D127, #30641041, … |
| maximal quotient of | #357×D127, #366×D127, #30640574, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(8128, 968);