Finite Group DatabasebetaFinite Group Databasebeta| order | 6464 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C25 |
| direct product | C2×#15692277 |
| Fitting | C22×C8×C101 ⋊ C2 |
| Sylow | C101 ⋊ C2×#135 |
266 conjugacy classes of subgroups.
1628 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #27171458, #27171460, #27172018, … |
| maximal normal subgroup of | #27171458, #27171460, #27172018, … |
| maximal quotient of | C2×#20265174, C2×#20265215, C2×C4×D808, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(6464, 1331);