Finite Group DatabasebetaFinite Group Databasebeta| order | 6464 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C24 |
| direct product | C2×#15692175 |
| Fitting | C2×C4⋊C4×C101 ⋊ C2 |
| Sylow | C101 ⋊ C2×#102 |
202 conjugacy classes of subgroups.
1028 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #27170946, C4×#15692175, #27170956, … |
| maximal normal subgroup of | #27170946, C4×#15692175, #27170956, … |
| maximal quotient of | C2×#20264904, #27169530, #27169556, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(6464, 535);