Finite Group DatabasebetaFinite Group Databasebeta| order | 6464 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C22 |
| direct product | C4×#13108064 |
| Sylow | C101 ⋊ C4×Q16 |
110 conjugacy classes of subgroups.
1028 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #27169936, C8×#13108064, #27169948, … |
| maximal normal subgroup of | #27169936, C8×#13108064, #27169948, … |
| maximal quotient of | C8×#13108064, #27169980, #27169982, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(6464, 642);