Finite Group DatabasebetaFinite Group Databasebeta| order | 6464 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C24 |
| direct product | #102×D101 |
| Fitting | #102×C101 ⋊ C2 |
| Sylow | C101 ⋊ C2×#102 |
202 conjugacy classes of subgroups; only the 63 normal subgroups are shown.
This group has 202 conjugacy classes of subgroups — too many to draw. Only its 63 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
728 conjugacy classes — view the full character table.
| maximal subgroup of | C2×#102×D101, #416×D101, #418×D101, … |
| maximal normal subgroup of | C2×#102×D101, #416×D101, #418×D101, … |
| maximal quotient of | D4⋊C8×D101, #27169529, #27169555, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(6464, 534);