Finite Group DatabasebetaFinite Group Databasebeta| order | 6464 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C25 |
| direct product | C22×#13108061 |
| Fitting | C22×Q8×C101 ⋊ C2 |
| Sylow | C101 ⋊ C22×SD16 |
298 conjugacy classes of subgroups.
1028 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #27171463, #27171469, #27171485, … |
| maximal normal subgroup of | #27171463, #27171469, #27171485, … |
| maximal quotient of | C22×#15692175, C22×#15692179, C22×#15692186, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(6464, 1321);