Finite Group DatabasebetaFinite Group Databasebeta| order | 6464 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C22 |
No aliases for this group.
| Sylow | C101 ⋊ #441 |
108 conjugacy classes of subgroups.
Polycyclic presentation:
2^6,101|a^2=e,b^2=f,c^2=e,d^2=f,b^a=bd,c^a=cf,d^a=df,d^b=df,g^b=g^1001022 conjugacy classes — view the full character table.
| maximal subgroup of | #441×D101, C2×#20265282, #27179927, … |
| maximal normal subgroup of | #441×D101, C2×#20265282, #27179927, … |
| maximal quotient of | #27169949, #27170001, #27170003, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(6464, 654);