Finite Group DatabasebetaFinite Group Databasebeta| order | 6464 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C23 |
| direct product | C2×#15692323 |
| unambiguous semidirect product | D101⋊#106 |
| Fitting | C2×C8×C101 ⋊ C4 |
| Sylow | C101 ⋊ C2×#106 |
130 conjugacy classes of subgroups.
428 conjugacy classes — view the full character table.
| maximal subgroup of | #27186197, #27186198, #27186203, … |
| maximal normal subgroup of | #27186197, #27186198, #27186203, … |
| maximal quotient of | C2×#20266038, D101⋊#334, C2×#20266039, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(6464, 1557);