Finite Group DatabasebetaFinite Group Databasebeta| order | 6464 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C23 |
| direct product | C2×#15692324 |
| unambiguous semidirect product | D101⋊#107 |
| Fitting | C2×C8×C101 ⋊ C4 |
| Sylow | C101 ⋊ C2×#107 |
130 conjugacy classes of subgroups.
428 conjugacy classes — view the full character table.
| maximal subgroup of | #27186189, #27186190, #27186207, … |
| maximal normal subgroup of | #27186189, #27186190, #27186207, … |
| maximal quotient of | C2×#20266040, D101⋊#335, C2×#20266041, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(6464, 1558);