Finite Group DatabasebetaFinite Group Databasebeta| order | 6592 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C4 · Schur multiplier (H2) = C2×C4 |
No aliases for this group.
| Sylow | C103 ⋊ #353 |
86 conjugacy classes of subgroups.
Polycyclic presentation:
2^6,103|a^2=d,c^2=f,b^a=bc,c^a=ce,e^a=ef,g^a=g^102,c^b=cf,d^b=def,d^c=df727 conjugacy classes — view the full character table.
| maximal subgroup of | #27193289, #27193290, #27193306, … |
| maximal normal subgroup of | #27193289, #27193290, #27193306, … |
| maximal quotient of | #27193076, #27193090, #27193141, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(6592, 342);