Finite Group DatabasebetaFinite Group Databasebeta| order | 8128 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C22 |
| direct product | Q32×D127 |
| Fitting | Q32×C127 ⋊ C2 |
| Sylow | C127 ⋊ C2×Q32 |
82 conjugacy classes of subgroups.
715 conjugacy classes — view the full character table.
| maximal subgroup of | SD64×D127, Q64×D127, #30641046, … |
| maximal normal subgroup of | SD64×D127, Q64×D127, #30641046, … |
| maximal quotient of | #358×D127, #366×D127, #30640586, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(8128, 975);