Finite Group DatabasebetaFinite Group Databasebeta| order | 6592 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C4 · Schur multiplier (H2) = C2 |
No aliases for this group.
| Sylow | C103 ⋊ #352 |
68 conjugacy classes of subgroups.
Polycyclic presentation:
2^6,103|a^2=d,b^2=f,b^a=bc,c^a=ce,e^a=ef,g^a=g^102,d^b=de,d^c=df727 conjugacy classes — view the full character table.
| maximal subgroup of | #352×D103, C2×#20267581, #27196784, … |
| maximal normal subgroup of | #352×D103, C2×#20267581, #27196784, … |
| maximal quotient of | #27193074, #27193092, #27193144, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(6592, 339);