Finite Group DatabasebetaFinite Group Databasebeta| order | 6592 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C4 · Schur multiplier (H2) = C2 |
No aliases for this group.
| Sylow | C103 ⋊ #328 |
80 conjugacy classes of subgroups.
Polycyclic presentation:
2^6,103|a^2=d,b^2=e,c^2=f,b^a=bc,c^a=ce,c^b=cf,d^b=def,g^b=g^1021039 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #328×D103, C2×#20267527, #27193627, … |
| maximal normal subgroup of | #328×D103, C2×#20267527, #27193627, … |
| maximal quotient of | #27192966, #27192969, #27193023, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(6592, 285);