Finite Group DatabasebetaFinite Group Databasebeta| order | 6592 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C23 |
No aliases for this group.
| Fitting | C22×Q8×C103 ⋊ C2 |
| Sylow | C103 ⋊ #448 |
158 conjugacy classes of subgroups.
Polycyclic presentation:
2^6,103|b^2=f,d^2=f,b^a=bd,c^a=ce,d^a=df,g^a=g^102,d^b=df1039 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #27194094, #27194095, #27194105, … |
| maximal normal subgroup of | #27194094, #27194095, #27194105, … |
| maximal quotient of | #27194067, #27194084, #27194135, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(6592, 688);