Finite Group DatabasebetaFinite Group Databasebeta| order | 6592 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C22 |
No aliases for this group.
| Fitting | Q32×C103 ⋊ C2 |
| Sylow | C103 ⋊ #508 |
84 conjugacy classes of subgroups.
Polycyclic presentation:
2^6,103|c^2=f,d^2=ef,e^2=f,b^a=bd,d^a=de,e^a=ef,g^a=g^102,d^b=de,e^b=ef,g^b=g^102,g^c=g^102583 conjugacy classes — view the full character table.
| maximal subgroup of | #27197452, #27197454, #27197458, … |
| maximal normal subgroup of | #27197452, #27197454, #27197458, … |
| maximal quotient of | #27196850, #27196925, #27196990, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(6592, 982);