Finite Group DatabasebetaFinite Group Databasebeta| order | 6592 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C8 · Schur multiplier (H2) = C2 |
No aliases for this group.
| Sylow | C103 ⋊ #349 |
58 conjugacy classes of subgroups.
Polycyclic presentation:
2^6,103|a^2=d,d^2=e,e^2=f,b^a=bc,c^a=cf,g^a=g^102,d^b=df1042 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #27193079, #27193080, #27193081, … |
| maximal normal subgroup of | #27193079, #27193080, #27193081, … |
| maximal quotient of | #27193068, #27193084, #27193102, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(6592, 331);