Finite Group DatabasebetaFinite Group Databasebeta| order | 6464 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C22 |
| direct product | C2×#15692190 |
| Sylow | C101 ⋊ C2×#108 |
106 conjugacy classes of subgroups.
1028 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #27171010, #27171012, #27171015, … |
| maximal normal subgroup of | #27171010, #27171012, #27171015, … |
| maximal quotient of | C2×#20264927, C2×#20264929, #27169878, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(6464, 594);