Finite Group DatabasebetaFinite Group Databasebeta| order | 6464 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C25 |
| direct product | C22×#13108063 |
| Fitting | C22×C8×C101 ⋊ C2 |
| Sylow | C101 ⋊ C22×SD16 |
298 conjugacy classes of subgroups.
1628 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #27171465, #27171467, #27171486, … |
| maximal normal subgroup of | #27171465, #27171467, #27171486, … |
| maximal quotient of | C22×#15692177, C22×#15692180, C22×#15692187, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(6464, 1323);