Finite Group DatabasebetaFinite Group Databasebeta| order | 6464 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C23 |
| direct product | #106×D101 |
| Fitting | #106×C101 ⋊ C2 |
| Sylow | C101 ⋊ C2×#106 |
130 conjugacy classes of subgroups.
728 conjugacy classes — view the full character table.
| maximal subgroup of | #360×D101, #365×D101, C2×#106×D101, … |
| maximal normal subgroup of | #360×D101, #365×D101, C2×#106×D101, … |
| maximal quotient of | #334×D101, #27169886, #27169901, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(6464, 578);