Finite Group DatabasebetaFinite Group Databasebeta| order | 6592 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C22 |
No aliases for this group.
| Fitting | #106×C103 ⋊ C2 |
| Sylow | C103 ⋊ #470 |
110 conjugacy classes of subgroups.
Polycyclic presentation:
2^6,103|a^2=f,b^2=df,d^2=f,b^a=bd,c^a=ce,d^a=df,g^a=g^102,c^b=cf,g^c=g^102730 conjugacy classes — view the full character table.
| maximal subgroup of | #27197096, #27197365, #470×D103, … |
| maximal normal subgroup of | #27197096, #27197365, #470×D103, … |
| maximal quotient of | #27194634, #27194639, #27194668, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(6592, 808);