Finite Group DatabasebetaFinite Group Databasebeta| order | 8128 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C23 |
| direct product | #106×D127 |
| Fitting | #106×C127 ⋊ C2 |
| Sylow | C127 ⋊ C2×#106 |
130 conjugacy classes of subgroups.
910 conjugacy classes — view the full character table.
| maximal subgroup of | #360×D127, #365×D127, C2×#106×D127, … |
| maximal normal subgroup of | #360×D127, #365×D127, C2×#106×D127, … |
| maximal quotient of | #334×D127, #30637484, #30637499, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(8128, 578);