Finite Group DatabasebetaFinite Group Databasebeta| order | 6464 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C23 |
| direct product | C4×D808 |
| Fitting | C4×C8×C101 ⋊ C2 |
| Sylow | C101 ⋊ C4×D8 |
134 conjugacy classes of subgroups.
1628 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #27169092, #27169094, #27169098, … |
| maximal normal subgroup of | #27169092, #27169094, #27169098, … |
| maximal quotient of | C8×D808, #27169963, #27170018, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(6464, 633);