Finite Group DatabasebetaFinite Group Databasebeta| order | 6464 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C26 |
| direct product | C22×#13108059 |
| Fitting | C22×D4×C101 ⋊ C2 |
| Sylow | C101 ⋊ C22×D8 |
338 conjugacy classes of subgroups.
1028 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #27171477, #27171478, #27171480, … |
| maximal normal subgroup of | #27171477, #27171478, #27171480, … |
| maximal quotient of | C22×#15692175, C22×#15692176, C22×#15692188, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(6464, 1318);