Finite Group DatabasebetaFinite Group Databasebeta| order | 6464 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C22 |
No aliases for this group.
| Fitting | C2×C16×C101 ⋊ C2 |
| Sylow | C101 ⋊ #508 |
84 conjugacy classes of subgroups.
Polycyclic presentation:
2^6,101|c^2=f,d^2=ef,e^2=f,b^a=bd,d^a=de,e^a=ef,g^a=g^100,d^b=de,e^b=ef,g^b=g^1001622 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #27169315, #27169317, #27169318, … |
| maximal normal subgroup of | #27169315, #27169317, #27169318, … |
| maximal quotient of | #27172840, #27172916, C4×D1616, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(6464, 981);